解题方法
1 . 在平面几何图形中,把对角线互相垂直的四边形叫做垂美四边形.如图,在垂美四边形
中,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2021/4/30/2710913793204224/2797968247750656/STEM/3edb78fa6d184cf1bb1ac648df8c444b.png?resizew=144)
(1)边
的长为_______ ;
(2)若
,
分别是线段
,
上的点,且
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833cfda415649b832cc136caed392753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/133760237c0ccf2d6a83786925b6d23c.png)
![](https://img.xkw.com/dksih/QBM/2021/4/30/2710913793204224/2797968247750656/STEM/3edb78fa6d184cf1bb1ac648df8c444b.png?resizew=144)
(1)边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27a1890d6f341a76e490d39b805864b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd92ed9c7d216873545ea59101b6ce1b.png)
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2 . 已知
和
分别为
的外心和重心,且
,若
,则
面积的最大值为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b71a17c1c450f1da6a8d678caf35431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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3 . 在平面四边形
中,
,
,
.若
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0402c7e8ed10c0d1c56c318fb58e69b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e079ad984f6cc21b9bd905d35f7018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9df8207303326aaab6a0b763e24d857c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdd9b2c3ed9d0202cbb86d33a183e6ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/255ba5acedb69da23c004d3b6eed29a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6356b329590c1c6115419f0790f7c47.png)
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解题方法
4 . 如图,已知
为半圆
的直径,长度为2,点
在半圆
上,点
在弦
上,且
,
,
,则
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca036d049f5205cf04cb1b9c5cd03f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e53c5c933809f62eadd8ef4f68fea656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77e2ada7d90e7143be104f74dc1ae9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea93d2a54b81a3667cbd49250335a22.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/14d460b3-66b6-49fc-a8ee-f698dc2f3f9f.png?resizew=230)
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5 . 如图,点
为△
的重心,且
,
,则
的值为___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d9a7b881dd04ffc14380053ae94f259.png)
![](https://img.xkw.com/dksih/QBM/2016/12/2/1573196334628864/1573196340715520/STEM/ce4270606fec465e82859a6c677f956b.png?resizew=149)
您最近一年使用:0次
2016-12-05更新
|
769次组卷
|
2卷引用:2017届江苏南通中学高三上期中数学(理)试卷