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
,
.
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/7ac423a9960b4cfc89f3dfff0e2c0617.png)
(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)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/7ac423a9960b4cfc89f3dfff0e2c0617.png)
(1)若
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/32da3ad1210e409d949bd8c5de8ab84b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)在
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/4342a0ab72484c1aa017103a09453653.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/c8c6545fd3364b64a3783119404c785b.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/35c1cfc7bf4e4d2aa008c79a2453f3e7.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/c711092c86f64a96bd8dc66156749261.png)
更新时间:2016-12-04 19:28:41
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【知识点】 几何证明选讲
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【推荐1】选修4-1:几何证明选讲
如图,过点A的圆与BC切于点D,且与AB、AC分别交于点E、F.已知AD为∠BAC的平分线,
求证:EF∥BC.
如图,过点A的圆与BC切于点D,且与AB、AC分别交于点E、F.已知AD为∠BAC的平分线,
求证:EF∥BC.
![](https://img.xkw.com/dksih/QBM/2015/4/22/1572080470777856/1572080476979200/STEM/eeda9aec86cb4a2ebe290896e02fb1ed.png)
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适中
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【推荐2】 4-1:几何证明选讲
如图所示,在四边形ABCP中,线段AP与BC的延长线交于点D,已知AB=AC且A,B,C,P四点共圆.
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232974032896/1572232979693568/STEM/98c1a1431f994997ad6cbc0d96ee003b.png)
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af86e6090e36a38dbc2732e92ce59cfa.png)
(2)若△ABC是面积为
的等边三角形,求AP·AD的值
如图所示,在四边形ABCP中,线段AP与BC的延长线交于点D,已知AB=AC且A,B,C,P四点共圆.
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232974032896/1572232979693568/STEM/98c1a1431f994997ad6cbc0d96ee003b.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af86e6090e36a38dbc2732e92ce59cfa.png)
(2)若△ABC是面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
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