TRẦN NGỌC KHÁNH NHƯ: Đề Hình 8 HK1

Hiển thị các bài đăng có nhãn Đề Hình 8 HK1. Hiển thị tất cả bài đăng

Hình 8 Đề 1

Đề 1Bài 3 Đề 1 Cho tam giác ABC vuông tại A (AB < AC). Gọi M là trung điểm của BC. Trên tia đối của tia MA lấy điểm D sao cho MD = MA.     a) Chứng minh tứ giác ABDC là hình chữ nhật.     b)Trên tia đối của tia BA lấy điểm E sao cho BA =BE. . Chứng minh tứ giác BEDC là hình bình hành.     c) EM cắt BD tại K. Chứng minh EK = 2KM. (Câu hỏi trong đề: <a href="https://tailieumoi.vn/danh-sach-cau-hoi?de=34193" style="background-color: white; color: #01b1d3; font-family: times; text-decoration-line: none;">Giải SBT Toán 8 CTST Bài 5. Hình chữ nhật – Hình vuông có đáp án</a>) TRẢ LỜI: <img height="149" src="https://video.vietjack.com/upload2/quiz_source1/2023/08/blobid0-1692459951.png" style="height: auto; max-width: 100%;" width="200" /> a) Xét tứ giác ABDC có: AM = MD (M ∈ AD); BM = MC (M ∈ BC). Suy ra tứ giác ABDC là hình bình hành. Ta lại có ˆBAC=90°BAC^=90° (do ∆ABC vuông tại A). Do đó, tứ giác ABDC là hình chữ nhật. b) Tứ giác ABDC là hình chữ nhật (theo câu a), suy ra AB = CD và AB // CD. Do E đối xứng với A qua B nên B, A, E thẳng hàng và AB = BE. Vì AB // CD nên BE // CD. Vì AB = CD và AB = BE nên CD = BE. Xét tứ giác BEDC có BE // CD và BE = CD nên là hình bình hành. c) ∆AED có hai đường trung tuyến EM và DB cắt nhau tại K, nên K là trọng tâm của tam giác AED. Suy ra EK=<span class="MathJax" id="MathJax-Element-1-Frame" style="border: 0px; direction: ltr; display: inline; float: none; font-style: normal; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-1" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.761em;"><span style="border: 0px; display: inline-block; font-size: 15.84px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.761em;"><span style="border: 0px; clip: rect(1.076em, 1000.76em, 2.781em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.143em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.349em, 1000.32em, 4.17em, -999.997em); left: 4.01563px; line-height: normal; margin: 0px 0px 0px -0.186em; padding: 0px; position: absolute; top: -4.416em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-4" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.1989px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2<span style="border: 0px; clip: rect(3.349em, 1000.32em, 4.17em, -999.997em); left: 4.01563px; line-height: normal; margin: 0px 0px 0px -0.186em; padding: 0px; position: absolute; top: -3.595em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-5" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.1989px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">3<span style="border: 0px; clip: rect(0.824em, 1000.51em, 1.266em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.259em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 0.508em;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 1.441em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.497em; width: 0px;">EM và KM=<span class="MathJax" id="MathJax-Element-2-Frame" style="border: 0px; direction: ltr; display: inline; float: none; font-style: normal; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-6" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.761em;"><span style="border: 0px; display: inline-block; font-size: 15.84px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.761em;"><span style="border: 0px; clip: rect(1.076em, 1000.76em, 2.781em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.143em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.349em, 1000.32em, 4.17em, -999.997em); left: 4.01563px; line-height: normal; margin: 0px 0px 0px -0.186em; padding: 0px; position: absolute; top: -4.416em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-9" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.1989px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">1<span style="border: 0px; clip: rect(3.349em, 1000.32em, 4.17em, -999.997em); left: 4.01563px; line-height: normal; margin: 0px 0px 0px -0.186em; padding: 0px; position: absolute; top: -3.595em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-10" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.1989px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">3<span style="border: 0px; clip: rect(0.824em, 1000.51em, 1.266em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -1.259em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: solid; border-width: 1.3px 0px 0px; display: inline-block; height: 0px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0em; width: 0.508em;"><span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 1.441em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.497em; width: 0px;">EM nên EK = 2KM. Lý thuyết Hình chữ nhật – Hình vuông I. Hình chữ nhật Hình chữ nhật là tứ giác có bốn góc vuông. <img height="98" src="https://tailieumoi.vn/storage/uploads/images/1/1-15-1687416316.png" style="height: auto; max-width: 100%;" width="157" /> *Tính chất Trong hình chữ nhật, hai đường chéo bằng nhau và cắt nhau tại trung điểm của mỗi đường. Nhận xét: Trong tam giác vuông, đường trung tuyến ứng với cạnh huyền bằng một nửa cạnh huyền. *Dấu hiệu nhận biết Nếu một tứ giác có ba góc vuông thì góc còn lại cũng là góc vuông và tứ giác đó là hình chữ nhật. II. Hình vuông Hình vuông là tứ giác có bốn góc vuông và bốn cạnh bằng nhau. <img height="198" src="https://tailieumoi.vn/storage/uploads/images/1/1-16-1687416352.png" style="height: auto; max-width: 100%;" width="171" /> *Tính chất Trong một hình vuông, hai đường chéo bằng nhau, vuông góc với nhau, cắt nhau tại trung điểm của mỗi đường và là các đường phân giác của các góc của hình vuông. *Dấu hiệu nhận biết hình vuông - Hình chữ nhật có hai cạnh kề bằng nhau là hình vuông. - Hình chữ nhật có hai đường chéo vuông góc với nhau là hình vuông. - Hình chữ nhật có một đường chéo là đường phân giác của một góc là hình vuông. Bài 4 Đề 1 Một cầu trượt có đường lên BA dài 5m, độ cao AC là 4m, độ dài DB là 9m, HD là 2m. Tính độ dài đường trượt tổng cộng ADH. <img height="155" src="https://video.vietjack.com/upload2/quiz_source1/2021/01/20-1611957981.PNG" style="height: auto; max-width: 100%;" width="350" /> (Câu hỏi trong đề: <a href="https://khoahoc.vietjack.com/thi-online/bai-tap-tuan-toan-7-hoc-ki-2-co-dap-an/61233" style="background-color: white; color: #01b1d3; font-family: times; text-decoration-line: none;">Bài tập tuần Toán 7 Học kì 2 có đáp án !!</a>) Trả lời: Để tính độ dài đường trượt tổng cộng ADH, ta cần tính độ dài các đoạn AB, BC, CD, DH. - Độ dài đoạn AB: 5m - Độ dài đoạn BC: Để tính độ dài đoạn BC, ta sử dụng định lý Pythagore trong tam giác vuông ABC:     <span class="MathJax" id="MathJax-Element-3-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-11" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 8.984em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 8.68em;"><span style="border: 0px; clip: rect(1.156em, 1008.68em, 2.43em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-13" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">A<span style="border: 0px; clip: rect(3.098em, 1000.79em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-15" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">C<span style="border: 0px; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.064em;"><span class="mn" id="MathJax-Span-16" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.6514px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2<span class="mo" id="MathJax-Span-17" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.246em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">+<span class="mi" id="MathJax-Span-18" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.246em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B<span style="border: 0px; clip: rect(3.098em, 1000.79em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-20" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">C<span style="border: 0px; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.064em;"><span class="mn" id="MathJax-Span-21" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.6514px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2<span class="mo" id="MathJax-Span-22" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=<span class="mi" id="MathJax-Span-23" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">A<span style="border: 0px; clip: rect(3.158em, 1000.73em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-25" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B<span class="mn" id="MathJax-Span-26" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.6514px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 1.066em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.122em; width: 0px;">     <span class="MathJax" id="MathJax-Element-4-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-27" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 6.678em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 6.496em;"><span style="border: 0px; clip: rect(1.156em, 1006.5em, 2.43em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.158em, 1000.49em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-30" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">4<span class="mn" id="MathJax-Span-31" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.6514px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2<span class="mo" id="MathJax-Span-32" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.246em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">+<span class="mi" id="MathJax-Span-33" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.246em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B<span style="border: 0px; clip: rect(3.098em, 1000.79em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-35" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">C<span style="border: 0px; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.064em;"><span class="mn" id="MathJax-Span-36" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.6514px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2<span class="mo" id="MathJax-Span-37" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=<span class="msubsup" id="MathJax-Span-38" style="border: 0px; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.158em, 1000.43em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-39" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">5<span class="mn" id="MathJax-Span-40" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.6514px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 1.128em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.122em; width: 0px;">     <span class="MathJax" id="MathJax-Element-5-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-41" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 6.921em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 6.678em;"><span style="border: 0px; clip: rect(1.156em, 1006.62em, 2.43em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-43" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B<span style="border: 0px; clip: rect(3.098em, 1000.79em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-45" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">C<span style="border: 0px; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.064em;"><span class="mn" id="MathJax-Span-46" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.6514px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2<span class="mo" id="MathJax-Span-47" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=<span class="mn" id="MathJax-Span-48" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">25<span class="mo" id="MathJax-Span-49" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.246em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">−<span class="mn" id="MathJax-Span-50" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.246em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">16<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 1.066em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.122em; width: 0px;">     <span class="MathJax" id="MathJax-Element-6-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-51" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 4.069em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 3.947em;"><span style="border: 0px; clip: rect(1.156em, 1003.89em, 2.37em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-53" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B<span style="border: 0px; clip: rect(3.098em, 1000.79em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-55" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">C<span style="border: 0px; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.064em;"><span class="mn" id="MathJax-Span-56" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.6514px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2<span class="mo" id="MathJax-Span-57" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=<span class="mn" id="MathJax-Span-58" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">9<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 1.003em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.059em; width: 0px;">     <span class="MathJax" id="MathJax-Element-7-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-59" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 4.433em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 4.311em;"><span style="border: 0px; clip: rect(1.277em, 1004.31em, 2.37em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-61" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B<span class="mi" id="MathJax-Span-62" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">C<span style="border: 0px; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.064em;"><span class="mo" id="MathJax-Span-63" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=<span class="mn" id="MathJax-Span-64" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">3<span class="mi" id="MathJax-Span-65" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">m<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 0.878em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.059em; width: 0px;">     <span class="MathJax" id="MathJax-Element-8-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-66" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 1.035em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.974em;"><span style="border: 0px; clip: rect(1.459em, 1000.91em, 2.37em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-68" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 0.691em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.059em; width: 0px;"> CD = 9 - 3 = 6 (m) - Độ dài đoạn DH: Độ dài đoạn DH đã được cho là 2m. Tổng cộng, độ dài đường trượt ADH là:     ADH = AD + DH = 7,2 + 2 = 9,2 (m) Vậy, độ dài đường trượt tổng cộng ADH là khoảng 9,2 (m) (làm tròn đến hàng đơn vị).<div>Bài 5 đề 1, bài 5 đề 2:Biểu đồ dưới đây cho biết ti lệ mỗi loại trái cây bán được của một cửa hàng.<div style="font-family: Verdana, Geneva, sans-serif; font-size: 12px;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKpier1p3OqakGlS1qDg4-cuf3kc6XBd1cNfivL-ezVLtS-Wtn-KcUrMwelQjpS28wIrPXwYeJEgyDRDIOD_oSaAYYt4U4NtQyG7vSMazPcR0tVm_Fn_66_jtwNiJMw2lotcX2bj1YkUwcB-Wte6kbhpM3ZpiO9j3I513ylUhA_C65Yp2wQ9uZBk2qtfQ/s1579/image005.png" style="color: #01b1d3; margin-left: 1em; margin-right: 1em; text-decoration-line: none;"><img border="0" data-original-height="715" data-original-width="1579" height="221" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKpier1p3OqakGlS1qDg4-cuf3kc6XBd1cNfivL-ezVLtS-Wtn-KcUrMwelQjpS28wIrPXwYeJEgyDRDIOD_oSaAYYt4U4NtQyG7vSMazPcR0tVm_Fn_66_jtwNiJMw2lotcX2bj1YkUwcB-Wte6kbhpM3ZpiO9j3I513ylUhA_C65Yp2wQ9uZBk2qtfQ/w489-h221/image005.png" style="border-width: 0px; height: auto; max-width: 100%;" width="489" /></a></div> a) Lập bảng thống kê tương ứng với biểu đồ bên Hãy chuyển đổi dữ liệu từ biểu đồ trên sang dạng bảng thống kê theo mẫu sau: <div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSpCS7ExwW4LijZdf30WwfpBrGzsx0mghuhxa06nOh4XqB71caqsNf_7ataRlGR39-eWK0OxrVdrUQ2Ufln1gXjF8c8KQvXdopiDGjcgJeJSl01y-7jBttum428QF2z1P4jcAkmW-vHNKTRyoQ-BTQQpUr_JF4_EAD-Z28TpX8Mg3fl9HyyJ7CYX5_c9M/s368/o.jpg" style="color: #01b1d3; margin-left: 1em; margin-right: 1em; text-decoration-line: none;"><img border="0" data-original-height="169" data-original-width="368" height="161" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSpCS7ExwW4LijZdf30WwfpBrGzsx0mghuhxa06nOh4XqB71caqsNf_7ataRlGR39-eWK0OxrVdrUQ2Ufln1gXjF8c8KQvXdopiDGjcgJeJSl01y-7jBttum428QF2z1P4jcAkmW-vHNKTRyoQ-BTQQpUr_JF4_EAD-Z28TpX8Mg3fl9HyyJ7CYX5_c9M/w350-h161/o.jpg" style="border-width: 0px; height: auto; max-width: 100%;" width="350" /></a></div><div align="center"> </div>b) Cho biết cửa hàng bán được tổng cộng 400 kg trái cây. Hãy tính số kilôgam sầu riêng cửa hàng đã bán được. Trả lời a) Bảng thống kê biểu diễn dữ liệu thống kê từ biểu đồ:</div><div style="font-family: Verdana, Geneva, sans-serif; font-size: 12px;"><div style="text-align: center;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi32WYqKGtjVIEZARBbubd56Zf8YZnqjEBSy36ZwfLdgKjCtTc4uec6N1yYHSccP_9bWAZdHnBlYDQaB12WuuDVlK2JF4XttG87a7WkMMbuxGIAWCnwt-YLEVoF1qOnU_XDvCAgWtOMNDMa-Ugw60QndI97vjbhcGphHnYqZ6IqdABHFYAjmgey0S1dDss/s476/image048.png" style="color: #01b1d3; margin-left: 1em; margin-right: 1em; text-decoration-line: none;"><img border="0" data-original-height="476" data-original-width="452" height="381" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi32WYqKGtjVIEZARBbubd56Zf8YZnqjEBSy36ZwfLdgKjCtTc4uec6N1yYHSccP_9bWAZdHnBlYDQaB12WuuDVlK2JF4XttG87a7WkMMbuxGIAWCnwt-YLEVoF1qOnU_XDvCAgWtOMNDMa-Ugw60QndI97vjbhcGphHnYqZ6IqdABHFYAjmgey0S1dDss/w362-h381/image048.png" style="border-width: 0px; height: auto; max-width: 100%;" width="362" /></a></div> </div>b) Số kilôgam sầu riêng cửa hàng đã bán được là: 20%.400 = 80 kg.</div></div>

Hình 8 Đề 1

Đề 1 Bài 3 Đề 1 Cho tam giác ABC vuông tại A (AB < AC). Gọi M là trung điểm của BC. Trên tia đối của tia MA lấy điểm D sao cho MD = MA....

+ Đọc thêm »

Hình 8 Đề 2

Bài 5 đề 1, bài 5 đề 2:Biểu đồ dưới đây cho biết ti lệ mỗi loại trái cây bán được của một cửa hàng.<div style="background-color: white; color: #333333; font-family: Verdana, Geneva, sans-serif;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKpier1p3OqakGlS1qDg4-cuf3kc6XBd1cNfivL-ezVLtS-Wtn-KcUrMwelQjpS28wIrPXwYeJEgyDRDIOD_oSaAYYt4U4NtQyG7vSMazPcR0tVm_Fn_66_jtwNiJMw2lotcX2bj1YkUwcB-Wte6kbhpM3ZpiO9j3I513ylUhA_C65Yp2wQ9uZBk2qtfQ/s1579/image005.png" style="color: #01b1d3; margin-left: 1em; margin-right: 1em; text-decoration-line: none;"><img border="0" data-original-height="715" data-original-width="1579" height="221" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKpier1p3OqakGlS1qDg4-cuf3kc6XBd1cNfivL-ezVLtS-Wtn-KcUrMwelQjpS28wIrPXwYeJEgyDRDIOD_oSaAYYt4U4NtQyG7vSMazPcR0tVm_Fn_66_jtwNiJMw2lotcX2bj1YkUwcB-Wte6kbhpM3ZpiO9j3I513ylUhA_C65Yp2wQ9uZBk2qtfQ/w489-h221/image005.png" style="border-width: 0px; height: auto; max-width: 100%;" width="489" /></a></div> a) Lập bảng thống kê tương ứng với biểu đồ bên Hãy chuyển đổi dữ liệu từ biểu đồ trên sang dạng bảng thống kê theo mẫu sau: <div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSpCS7ExwW4LijZdf30WwfpBrGzsx0mghuhxa06nOh4XqB71caqsNf_7ataRlGR39-eWK0OxrVdrUQ2Ufln1gXjF8c8KQvXdopiDGjcgJeJSl01y-7jBttum428QF2z1P4jcAkmW-vHNKTRyoQ-BTQQpUr_JF4_EAD-Z28TpX8Mg3fl9HyyJ7CYX5_c9M/s368/o.jpg" style="color: #01b1d3; margin-left: 1em; margin-right: 1em; text-decoration-line: none;"><img border="0" data-original-height="169" data-original-width="368" height="161" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSpCS7ExwW4LijZdf30WwfpBrGzsx0mghuhxa06nOh4XqB71caqsNf_7ataRlGR39-eWK0OxrVdrUQ2Ufln1gXjF8c8KQvXdopiDGjcgJeJSl01y-7jBttum428QF2z1P4jcAkmW-vHNKTRyoQ-BTQQpUr_JF4_EAD-Z28TpX8Mg3fl9HyyJ7CYX5_c9M/w350-h161/o.jpg" style="border-width: 0px; height: auto; max-width: 100%;" width="350" /></a></div><div align="center"> </div>b) Cho biết cửa hàng bán được tổng cộng 400 kg trái cây. Hãy tính số kilôgam sầu riêng cửa hàng đã bán được. Trả lời a) Bảng thống kê biểu diễn dữ liệu thống kê từ biểu đồ:</div><div style="background-color: white; color: #333333; font-family: Verdana, Geneva, sans-serif;"><div style="text-align: center;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi32WYqKGtjVIEZARBbubd56Zf8YZnqjEBSy36ZwfLdgKjCtTc4uec6N1yYHSccP_9bWAZdHnBlYDQaB12WuuDVlK2JF4XttG87a7WkMMbuxGIAWCnwt-YLEVoF1qOnU_XDvCAgWtOMNDMa-Ugw60QndI97vjbhcGphHnYqZ6IqdABHFYAjmgey0S1dDss/s476/image048.png" style="color: #01b1d3; margin-left: 1em; margin-right: 1em; text-decoration-line: none;"><img border="0" data-original-height="476" data-original-width="452" height="381" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi32WYqKGtjVIEZARBbubd56Zf8YZnqjEBSy36ZwfLdgKjCtTc4uec6N1yYHSccP_9bWAZdHnBlYDQaB12WuuDVlK2JF4XttG87a7WkMMbuxGIAWCnwt-YLEVoF1qOnU_XDvCAgWtOMNDMa-Ugw60QndI97vjbhcGphHnYqZ6IqdABHFYAjmgey0S1dDss/w362-h381/image048.png" style="border-width: 0px; height: auto; max-width: 100%;" width="362" /></a></div> </div>b) Số kilôgam sầu riêng cửa hàng đã bán được là: 20%.400 = 80 kg. Bài 2 Đề 2 </div><div style="background-color: white; color: #333333; font-family: Verdana, Geneva, sans-serif;">cho Delta ABC vuông tại A có AH là đường cao . Từ H vẽ HD vuông góc với cạnh AB tại D, vẽ HE vuông góc với cạnh AC tại E.     a) Chứng minh tứ giác ADHE là hình chữ nhật.     b) Trên tia đối của tia AC lấy điểm F sao cho AF=AE . Chứng minh tứ giác AFDH là hình bình hành. <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDWY4hlWJJsMuoRdk5JxUhrlu_XD5yH1jCO9Tk2n6u_o4MyiAwsPmjb7hwa_TDNLaWIdGjWyZHx7KXBYa_JeQhzr-XTWmhVO-5nuUoAfwfUCkjR7zBtIkHMc-oxCiVF7DJNbkcqPQ6oP16vM4EMoxDOoXCDKwz_nEKiOYT10ruLmdbpiVm0qKiC6wWb1s/s421/blobid1-1686885706.png" style="color: #01b1d3; text-decoration-line: none;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDWY4hlWJJsMuoRdk5JxUhrlu_XD5yH1jCO9Tk2n6u_o4MyiAwsPmjb7hwa_TDNLaWIdGjWyZHx7KXBYa_JeQhzr-XTWmhVO-5nuUoAfwfUCkjR7zBtIkHMc-oxCiVF7DJNbkcqPQ6oP16vM4EMoxDOoXCDKwz_nEKiOYT10ruLmdbpiVm0qKiC6wWb1s/s320/blobid1-1686885706.png" style="border-width: 0px; height: auto; max-width: 100%;" /></a> <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6csB4luXfk1-2wk8SahsFjzTV0mICYk1uwyElz3A0m82vvhooall48FIQdNSfoPH9-Wv6-WatYKveCZsocn_iZDn_Xoz55mWZjCOIbeP0U0LP70J1-o511phAOPuMNHeqyBQmEMegPCaqzpKGOKazGBpHhjzNA9EAdCjFY-JcucfjkNhpQoBQAZdlVW0/s447/2.png" style="color: #01b1d3; text-decoration-line: none;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6csB4luXfk1-2wk8SahsFjzTV0mICYk1uwyElz3A0m82vvhooall48FIQdNSfoPH9-Wv6-WatYKveCZsocn_iZDn_Xoz55mWZjCOIbeP0U0LP70J1-o511phAOPuMNHeqyBQmEMegPCaqzpKGOKazGBpHhjzNA9EAdCjFY-JcucfjkNhpQoBQAZdlVW0/s320/2.png" style="border-width: 0px; height: auto; max-width: 100%;" /></a></div><div style="background-color: white; color: #333333; font-family: Verdana, Geneva, sans-serif;"> </div><div style="background-color: white; color: #333333; font-family: Verdana, Geneva, sans-serif;">a) Chứng minh tứ giác ADHE là hình chữ nhật.     Tứ giác ADHE có:     <span class="MathJax" id="MathJax-Element-9-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-69" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 5.404em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 5.221em;"><span style="border: 0px; clip: rect(0.853em, 1005.22em, 2.37em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.098em, 1002.37em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-75" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">D<span class="mi" id="MathJax-Span-76" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">A<span class="mi" id="MathJax-Span-77" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">E<span style="border: 0px; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"><span style="border: 0px; clip: rect(2.976em, 1001.88em, 3.644em, -999.997em); left: 0.246em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.305em; transition: none 0s ease 0s; vertical-align: 0px;">ˆ<span class="mo" id="MathJax-Span-79" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=<span class="msubsup" id="MathJax-Span-80" style="border: 0px; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.158em, 1000.97em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-81" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">90<span class="mn" id="MathJax-Span-82" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.6514px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">0<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 1.316em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.059em; width: 0px;"> (gt)<span class="MathJax" id="MathJax-Element-10-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-83" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 5.525em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 5.343em;"><span style="border: 0px; clip: rect(0.853em, 1005.34em, 2.37em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.098em, 1002.49em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-89" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">A<span class="mi" id="MathJax-Span-90" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">D<span class="mi" id="MathJax-Span-91" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">H<span style="border: 0px; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.064em;"><span style="border: 0px; clip: rect(2.976em, 1001.88em, 3.644em, -999.997em); left: 0.367em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.305em; transition: none 0s ease 0s; vertical-align: 0px;">ˆ<span class="mo" id="MathJax-Span-93" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=<span class="msubsup" id="MathJax-Span-94" style="border: 0px; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.158em, 1000.97em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-95" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">90<span class="mn" id="MathJax-Span-96" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.6514px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">0<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 1.316em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.059em; width: 0px;"> (HD<span class="MathJax" id="MathJax-Element-11-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-97" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.853em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.792em;"><span style="border: 0px; clip: rect(1.338em, 1000.73em, 2.37em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-99" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⊥<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 0.816em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.059em; width: 0px;">AB)     <span class="MathJax" id="MathJax-Element-12-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-100" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 5.464em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 5.282em;"><span style="border: 0px; clip: rect(0.853em, 1005.28em, 2.37em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.098em, 1002.43em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-106" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">A<span class="mi" id="MathJax-Span-107" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">E<span style="border: 0px; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"><span class="mi" id="MathJax-Span-108" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">H<span style="border: 0px; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.064em;"><span style="border: 0px; clip: rect(2.976em, 1001.88em, 3.644em, -999.997em); left: 0.306em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.305em; transition: none 0s ease 0s; vertical-align: 0px;">ˆ<span class="mo" id="MathJax-Span-110" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=<span class="msubsup" id="MathJax-Span-111" style="border: 0px; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.158em, 1000.97em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-112" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">90<span class="mn" id="MathJax-Span-113" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.6514px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">0<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 1.316em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.059em; width: 0px;"> (HE<span class="MathJax" id="MathJax-Element-13-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-114" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.853em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.792em;"><span style="border: 0px; clip: rect(1.338em, 1000.73em, 2.37em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-116" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⊥<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 0.816em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.059em; width: 0px;">AC) Do đó ADHE là hình chữ nhật (dấu hiệu nhận biết.) b) Chứng minh tứ giác AFDH là hình bình hành. Ta có AF = AE (gt)     AE = DH ( ADHE là hình chữ nhật )     <span class="MathJax" id="MathJax-Element-14-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-117" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 1.035em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.974em;"><span style="border: 0px; clip: rect(1.459em, 1000.91em, 2.37em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-119" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 0.691em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.059em; width: 0px;"> AF = DH Tứ giác AFDH có AF = DH     và AF//DH (ADHE là hình chữ nhật.)     <span class="MathJax" id="MathJax-Element-15-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-120" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 1.035em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.974em;"><span style="border: 0px; clip: rect(1.459em, 1000.91em, 2.37em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mo" id="MathJax-Span-122" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">⇒<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 0.691em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.059em; width: 0px;"> Tứ giác AFDH là hình bình hành (dấu hiệu nhận biết) Bài 4 Đề 2 Một viên bi lăn theo đoạn đường từ A đến D như hình vẽ (AB⊥BC,BC⊥CD). Hãy tính khoảng cách AD. Biết rằng AB = 10m, BC = 12m, CD = 6m. <a href="https://img.loigiaihay.com/picture/2024/1026/1729933943602-mceclip0.png" style="color: #01b1d3; text-decoration-line: none;"><img border="0" height="132" src="https://img.loigiaihay.com/picture/2024/1026/1729933943602-mceclip0.png" style="border-width: 0px; height: auto; max-width: 100%;" width="180" /></a> Phương pháp giải Từ D vẽ Dx⊥CD cắt AB tại E. Chứng minh BCDE là hình chữ nhật, sử dụng tính chất của hình chữ nhật để tính BE, suy ra độ dài AE. Dựa vào định lí Pythagore để tính cạnh AD. Lời giải <a href="https://img.loigiaihay.com/picture/2024/1026/1729933958184-mceclip0.png" style="color: #01b1d3; text-decoration-line: none;"><img border="0" height="137" src="https://img.loigiaihay.com/picture/2024/1026/1729933958184-mceclip0.png" style="border-width: 0px; height: auto; max-width: 100%;" width="204" /></a> Từ D vẽ Dx⊥CD cắt AB tại E. Mà BC⊥CD nên DE//BC Vì AB⊥BC,BC⊥CD nên AB//CD. Xét tứ giác BCDE có <span class="MathJax" id="MathJax-Element-16-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-123" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.853em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.792em;"><span style="border: 0px; clip: rect(0.974em, 1000.79em, 2.37em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.158em, 1000.73em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-128" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">B<span style="border: 0px; clip: rect(3.098em, 1000.55em, 3.644em, -999.997em); left: 0.185em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.305em; transition: none 0s ease 0s; vertical-align: 0px;">ˆ<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 1.191em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.059em; width: 0px;"> = <span class="MathJax" id="MathJax-Element-17-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-130" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.853em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.792em;"><span style="border: 0px; clip: rect(0.974em, 1000.79em, 2.37em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.098em, 1000.79em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-135" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">C<span style="border: 0px; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.064em;"><span style="border: 0px; clip: rect(3.098em, 1000.55em, 3.644em, -999.997em); left: 0.246em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.305em; transition: none 0s ease 0s; vertical-align: 0px;">ˆ<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 1.253em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.059em; width: 0px;"> = <span class="MathJax" id="MathJax-Element-18-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-137" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 1.095em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 1.035em;"><span style="border: 0px; clip: rect(0.974em, 1001.03em, 2.37em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.158em, 1000.79em, 4.19em, -999.997em); left: 0.064em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-142" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">D<span style="border: 0px; clip: rect(3.037em, 1001.03em, 3.644em, -999.997em); left: 0.064em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.245em; transition: none 0s ease 0s; vertical-align: 0px;">ˆ<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 1.191em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.059em; width: 0px;"> = <span class="MathJax" id="MathJax-Element-19-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-144" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 1.52em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 1.459em;"><span style="border: 0px; clip: rect(1.156em, 1001.46em, 2.37em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.158em, 1000.97em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-147" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">90<span class="mn" id="MathJax-Span-148" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.6514px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">0<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 1.066em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.059em; width: 0px;"> nên BCDE là hình chữ nhật. Suy ra DE = BC =12m; BE = CD = 6m; <span class="MathJax" id="MathJax-Element-20-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-149" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.853em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 0.792em;"><span style="border: 0px; clip: rect(0.974em, 1000.79em, 2.37em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.158em, 1000.79em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-154" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">E<span style="border: 0px; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"><span style="border: 0px; clip: rect(3.098em, 1000.55em, 3.644em, -999.997em); left: 0.246em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.305em; transition: none 0s ease 0s; vertical-align: 0px;">ˆ<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 1.191em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.059em; width: 0px;"> = <span class="MathJax" id="MathJax-Element-21-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-156" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 1.52em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 1.459em;"><span style="border: 0px; clip: rect(1.156em, 1001.46em, 2.37em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.158em, 1000.97em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-159" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">90<span class="mn" id="MathJax-Span-160" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.6514px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">0<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 1.066em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.059em; width: 0px;"> Dẫn đến AE=AB+BE=10+6=16(m) Áp dụng định lí Pythagore vào tam giác ADE vuông tại E, ta có:AD=<span class="MathJax" id="MathJax-Element-22-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-161" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 6.556em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 6.374em;"><span style="border: 0px; clip: rect(1.035em, 1006.37em, 2.612em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.037em, 1005.34em, 4.251em, -999.997em); left: 0.974em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-165" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">A<span style="border: 0px; clip: rect(3.158em, 1000.79em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-167" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">E<span style="border: 0px; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"><span class="mn" id="MathJax-Span-168" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.6514px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2<span class="mo" id="MathJax-Span-169" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.246em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">+<span class="mi" id="MathJax-Span-170" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.246em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">D<span style="border: 0px; clip: rect(3.158em, 1000.79em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mi" id="MathJax-Span-172" style="border: 0px; display: inline; font-family: MathJax_Math-italic; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">E<span style="border: 0px; display: inline-block; height: 1px; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 0.003em;"><span class="mn" id="MathJax-Span-173" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.6514px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2<span style="border: 0px; clip: rect(3.583em, 1005.4em, 3.947em, -999.997em); left: 0.974em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.669em; transition: none 0s ease 0s; vertical-align: 0px;">−−−−−−−−−−<span style="border: 0px; clip: rect(2.976em, 1001.03em, 4.554em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.123em; transition: none 0s ease 0s; vertical-align: 0px;">√<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 1.378em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.309em; width: 0px;">=<span class="MathJax" id="MathJax-Element-23-Frame" style="border: 0px; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; white-space: nowrap; word-spacing: normal;" tabindex="0"><span class="math" id="MathJax-Span-174" style="border: 0px; display: inline-block; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px; width: 7.77em;"><span style="border: 0px; display: inline-block; font-size: 16.48px; height: 0px; line-height: normal; margin: 0px; padding: 0px; position: relative; transition: none 0s ease 0s; vertical-align: 0px; width: 7.527em;"><span style="border: 0px; clip: rect(1.035em, 1007.47em, 2.552em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -2.181em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(2.976em, 1004.13em, 4.251em, -999.997em); left: 0.974em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.158em, 1000.97em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-179" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">16<span class="mn" id="MathJax-Span-180" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.6514px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2<span class="mo" id="MathJax-Span-181" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.246em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">+<span class="msubsup" id="MathJax-Span-182" style="border: 0px; display: inline; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.246em; position: static; transition: none 0s ease 0s; vertical-align: 0px;"><span style="border: 0px; clip: rect(3.158em, 1000.97em, 4.19em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.002em; transition: none 0s ease 0s; vertical-align: 0px;"><span class="mn" id="MathJax-Span-183" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">12<span class="mn" id="MathJax-Span-184" style="border: 0px; display: inline; font-family: MathJax_Main; font-size: 11.6514px; line-height: normal; margin: 0px; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: 0px;">2<span style="border: 0px; clip: rect(3.583em, 1004.13em, 3.947em, -999.997em); left: 0.974em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.73em; transition: none 0s ease 0s; vertical-align: 0px;">−−−−−−−−<span style="border: 0px; clip: rect(2.976em, 1001.03em, 4.554em, -999.997em); left: 0em; line-height: normal; margin: 0px; padding: 0px; position: absolute; top: -4.123em; transition: none 0s ease 0s; vertical-align: 0px;">√<span class="mo" id="MathJax-Span-185" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">=<span class="mn" id="MathJax-Span-186" style="border: 0px; display: inline; font-family: MathJax_Main; line-height: normal; margin: 0px; padding: 0px 0px 0px 0.306em; position: static; transition: none 0s ease 0s; vertical-align: 0px;">20<span style="border-bottom-style: initial; border-color: initial; border-image: initial; border-left-style: solid; border-right-style: initial; border-top-style: initial; border-width: 0px; display: inline-block; height: 1.378em; line-height: normal; margin: 0px; overflow: hidden; padding: 0px; position: static; transition: none 0s ease 0s; vertical-align: -0.247em; width: 0px;">(m) Vậy khoảng cách AD là 20m. Bài 5 Đề 2: Biểu đồ thể hiện sổ các con vật nuôi của các bạn trong lớp 8B <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIffVWd-oNCi8ZzO1G7cVuLMtQA7sYF3DvuT5dmKvca4Dhm8dIvrb58NPvpb4dmQP_jlu3JJPJTRn7_hSuQ4iCSJydyk5RIaqtRpm0YtaOTN8otnyU2OjkVZB3N0mUauw-8NQm4GzwNKyuSy2laMeD59nyTzUGbyTNfm77acQ1WLgn2TTcoZ1WSNYfIT0/s418/image017.png" style="color: #01b1d3; text-decoration-line: none;"><img border="0" height="279" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIffVWd-oNCi8ZzO1G7cVuLMtQA7sYF3DvuT5dmKvca4Dhm8dIvrb58NPvpb4dmQP_jlu3JJPJTRn7_hSuQ4iCSJydyk5RIaqtRpm0YtaOTN8otnyU2OjkVZB3N0mUauw-8NQm4GzwNKyuSy2laMeD59nyTzUGbyTNfm77acQ1WLgn2TTcoZ1WSNYfIT0/w323-h279/image017.png" style="border-width: 0px; height: auto; max-width: 100%;" width="323" /></a> </div><div style="background-color: white; color: #333333; font-family: Verdana, Geneva, sans-serif;">a) Lập bảng thống kê cho biểu đồ trên. b) Con vật nào được nuôi nhiều nhất, ít nhất, là bao nhiêu? </div><div style="background-color: white; color: #333333; font-family: Verdana, Geneva, sans-serif;">Trả lời a) Bảng thống kê:</div><div style="background-color: white; color: #333333; font-family: Verdana, Geneva, sans-serif;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg9yIEfav9J4I4gbac5uuzbmteAHYi_MIUVPV0ix0Ia0K5P2Vp4Fk98XGZyguf6qRVYW9y-25ZAm7stMuN0HwRQdTswHM6KhcW0W3QTnhbamY3uFwO4Ybrc0BLRWmtMiG8nkTCTJ4z3hmWqPRGV1zFIu3_t9-12fH1txuoQu6_j5PekBjMMYmTCbnGokfY/s185/mm.jpg" style="color: #01b1d3; margin-left: 1em; margin-right: 1em; text-decoration-line: none;"><img border="0" data-original-height="147" data-original-width="185" height="147" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg9yIEfav9J4I4gbac5uuzbmteAHYi_MIUVPV0ix0Ia0K5P2Vp4Fk98XGZyguf6qRVYW9y-25ZAm7stMuN0HwRQdTswHM6KhcW0W3QTnhbamY3uFwO4Ybrc0BLRWmtMiG8nkTCTJ4z3hmWqPRGV1zFIu3_t9-12fH1txuoQu6_j5PekBjMMYmTCbnGokfY/s1600/mm.jpg" style="border-width: 0px; height: auto; max-width: 100%;" width="185" /></a></div> b) Con vật nào được nuôi nhiều nhất, ít nhất, là bao nhiêu? Trả lời Con vật được nuôi nhiều nhất là cá (12 con). Con vật được nuôi ít nhất là mèo (5 con). Số cá nhiều gấp đôi số mèo</div>

Hình 8 Đề 2

Bài 5 đề 1, bài 5 đề 2: Biểu đồ dưới đây cho biết ti lệ mỗi loại trái cây bán được của một cửa hàng. a) Lập bảng thống kê tương ứng với bi...

+ Đọc thêm »