(1)如图(1),分别以
三边为直径向外作三个正方形,其面积分别用
,
,
表示,写出
,
,
之间关系.(不必证明)
(2)如图(2),分别以
三边为边向外作三个半圆,其面积分别用
,
,
表示,确定它们的关系证明;
(3)如图(3),分别以
三边为边向外作正三角形,其面积分别用
,
,
表示,确定它们的关系并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
(2)如图(2),分别以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
(3)如图(3),分别以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/7/c3bd207e-749b-4283-8f5e-a7e92cb0df2f.png?resizew=305)
更新时间:2023-09-27 19:29:17
|
相似题推荐
解答题-问答题
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(0.85)
名校
【推荐1】如图,四边形ABCD是矩形纸片,
,
,在
上取一点
,将纸片沿AE翻折,使点D落在BC边上的点F处.
![](https://img.xkw.com/dksih/QBM/2022/1/28/2904330234208256/2916253513900032/STEM/4b04f2a7-a423-4908-903c-1c5c8687c605.png?resizew=205)
(1)AF的长=______;
(2)BF的长=______;
(3)CF的长=______;
(4)求DE的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26ad70d2b3aac8604834d57dfc59bb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8cc58ef27567f0ab06eb1012aec330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2022/1/28/2904330234208256/2916253513900032/STEM/4b04f2a7-a423-4908-903c-1c5c8687c605.png?resizew=205)
(1)AF的长=______;
(2)BF的长=______;
(3)CF的长=______;
(4)求DE的长.
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解答题-证明题
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【推荐2】如图,已知四边形
是正方形,点
、
分别在
、
上,
与
相交于点
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/8/2d8c473d-8230-442a-89b2-0516e433b5a9.png?resizew=176)
(1)求证:
;
(2)求证:
;
(3)如果正方形
的边长为5,
,点
为
的中点,连接
.求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97075fe3c2a105f5d2d0a27a9f2b3410.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/8/2d8c473d-8230-442a-89b2-0516e433b5a9.png?resizew=176)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aecfee56dbd8bd618e75d11b200b9a06.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d498c5bd6f0bc27ab2ebd2c003c666.png)
(3)如果正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b0393ce62b24aa5f9b740d4cc6743b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
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【推荐1】如图,等腰直角三角形的直角边长都是
,以等腰直角三角形的两直角边为直径分别画两个半圆,则阴影部分的面积是多少(
取
)?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b1fe1b971b780e443a9b13621611c5.png)
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解答题-计算题
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【推荐2】学校要征收一块土地,形状如图所示,
,
,
,
,土地价格为1000元
,请你计算学校征收这块地需要多少钱?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59281d3136f2c67c078d98842171224d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe5ad8e993ca72050247b58ebe1d5bd.png)
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