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class="q-mc"> <h1 class="q-tit"> 1. <a href="/paper/view-5400939.shtml" class="ques-origin a-pointer" target="_blank"> (2022八上·魏縣期中) </a> 中國古代數(shù)學(xué)家劉徽在《九章算術(shù)注》中，給出證明三角形面積公式的出入相補(bǔ)法．如圖所示，在<img class="mathml" src="http://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmo%3E%E2%96%B3%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmi%3EB%3C%2Fmi%3E%3Cmi%3EC%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E" style="max-width:100%;vertical-align: middle;">中，分別取<img class="mathml" src="http://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmi%3EB%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E" style="max-width:100%;vertical-align: middle;">、<img class="mathml" src="http://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmi%3EC%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E" style="max-width:100%;vertical-align: middle;">的中點(diǎn)D、E，連接<img class="mathml" src="http://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3ED%3C%2Fmi%3E%3Cmi%3EE%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E" style="max-width:100%;vertical-align: middle;"> ，過點(diǎn)A作<img class="mathml" src="http://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmi%3EF%3C%2Fmi%3E%3Cmo%3E%E2%8A%A5%3C%2Fmo%3E%3Cmi%3ED%3C%2Fmi%3E%3Cmi%3EE%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E" style="max-width:100%;vertical-align: middle;"> ，垂足為F，將<img class="mathml" src="http://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmo%3E%E2%96%B3%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmi%3EB%3C%2Fmi%3E%3Cmi%3EC%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E" style="max-width:100%;vertical-align: middle;">分割后拼接成長方形<img class="mathml" src="http://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3EB%3C%2Fmi%3E%3Cmi%3EC%3C%2Fmi%3E%3Cmi%3EH%3C%2Fmi%3E%3Cmi%3EG%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E" style="max-width:100%;vertical-align: middle;"> ．若<img class="mathml" src="http://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3ED%3C%2Fmi%3E%3Cmi%3EE%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E5%3C%2Fmn%3E%3C%2Fmath%3E" style="max-width:100%;vertical-align: middle;"> ， <img class="mathml" src="http://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmi%3EF%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E4%3C%2Fmn%3E%3C%2Fmath%3E" style="max-width:100%;vertical-align: middle;"> ，則<img class="mathml" src="http://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmo%3E%E2%96%B3%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmi%3EB%3C%2Fmi%3E%3Cmi%3EC%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E" style="max-width:100%;vertical-align: middle;">的面積是（　?。?p style="text-align:left;"><img src="http://tikupic.21cnjy.com/ct20241o/72/35/7235efee5d802a89fdfea4f0e10e3c35.png" width="210" height="150" style="max-width:100%;"></p> </h1> <div id="wcwel6o" class="exam-s"> <span id="zmeemln" class="op-item"><span id="kxqahfg" class="op-item-nut">A . </span><span id="orwwzba" class="op-item-meat">15</span></span> <span id="ltmyqs9" class="op-item"><span id="zdnyowk" class="op-item-nut">B . </span><span id="sbm3hph" class="op-item-meat">20</span></span> <span id="glmjspa" class="op-item"><span id="f7uk3h6" class="op-item-nut">C . </span><span id="gt2dajd" class="op-item-meat">30</span></span> <span id="6nthz8u" class="op-item"><span id="4pcnx2q" class="op-item-nut">D . </span><span id="8m2owwm" class="op-item-meat">40</span></span> </div> </div> </div> </li> </ul> <div style="height:20px;background-color: #fff;margin-top:1px"></div>  <div class="4dd03lc" id="J_ConnectQuestionsdBox"> </div> </div> </div> <div id="rvpzhcj" class="g-sd2">  <div style="background:#fff;padding:20px 0;margin-bottom:20px;text-align:center;"> <img src="/question/paper-qrcode?id=59233118" width="140px" height="140px" alt=""> <p style="text-align:center;margin-top: 10px">微信掃碼預(yù)覽、分享更方便</p> </div> <div id="ebvo3sy" class="analyize-extend JV_question__papers"> <h3 class="extend-mt">使用過本題的試卷</h3> <ul class="extend-mc"> <li> <a href="/paper/view-5400939.shtml" target="_blank" title="河北省邯鄲市魏縣2022-2023學(xué)年八年級上學(xué)期期中考試數(shù)學(xué)試題" class="ex-tit"> <b></b><span>河北省邯鄲市魏縣2022-2023學(xué)年八年級上學(xué)期期中考試數(shù)學(xué)試題</span> </a> </li> </ul> </div>  <div id="hoquvea" class="JV_question__subject"> <ul class="subjects-recomm"> <li> <a href="/merge?id=394" 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