选修4-1:几何证明选讲
已知如图,四边形
是圆
的内接四边形,对角线
交于点
,直线
是圆
的切线,切
点为
,
.
(1)若
,求
的长;
(2)在
上取一点
,若
,求
的大小.
已知如图,四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac07c8a89cc64fde478fff9da45b7ad.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f24baa0e5971b5e3e41477c183b56e8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7341a01a2aa0d2d565e5abba6a5e76d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c028c1617dbdbe72d6e78096b9d17221.png)
![](https://img.xkw.com/dksih/QBM/2016/8/29/1572993616281600/1572993622712320/STEM/78d2b6074e4e4c7ba8f4055a6dbc5df6.png)
更新时间:2016-12-04 19:26:37
|
【知识点】 几何证明选讲
相似题推荐
解答题-证明题
|
适中
(0.65)
【推荐1】如图,⊙
和⊙
公切线
和
相交于点
,
为切点,直线
交⊙
于
两点,直线
交⊙
于
两点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/11/701faf72-ab4f-4507-8fd8-870622684256.png?resizew=237)
(1)求证:
;
(2)若
和
的半径之比为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95669781e9c4263ea3d35207c70162dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52041559f8fee18bfa3e2e2ac07c3bfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e966bdde598f9f48cf69380c7781405c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0465653d13133933bcfdc8af19c324.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/11/701faf72-ab4f-4507-8fd8-870622684256.png?resizew=237)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6af97b16d1a05c40751e265a9185beac.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0385df6c7f8ee7ab503b6ed35933695b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd73875650e1538c4c61d5e16d3db29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ae7ad653c54da9d7c73360af3375d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810f9b4c1535bf75de1e31c164ccfe1e.png)
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解答题-问答题
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适中
(0.64)
【推荐2】选修4-1:几何证明选讲
如图,
是
的外接圆,
的平分线
交
于
,交
于
,连接
并延长, 交
于
,交
于
.
![](https://img.xkw.com/dksih/QBM/2016/9/7/1573003126251520/1573003132870656/STEM/a5e23fa7201644d1bf658198a0a2c24e.png)
(1)证明:
;
(2)若
求
的长.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6062582a0a1679aa777451f25008411d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc93e193fad261689949a52819753f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2016/9/7/1573003126251520/1573003132870656/STEM/a5e23fa7201644d1bf658198a0a2c24e.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5c2123f90f931140fe9f85a3e61e30d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a30bf456a72760e9a91e070752d8a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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