如图,四边形ABCD内接于⊙O,AB=AD过A点的切线交CB的延长线于E点.求证:AB2=BE·CD.
![](https://img.xkw.com/dksih/QBM/2012/7/2/1570910807670784/1570910813118464/STEM/69c8f97219a04cd4a664b5fee722759a.png)
11-12高二下·河北唐山·期中 查看更多[1]
(已下线)2011-2012学年河北省唐山一中高二下学期期中文科数学试卷
更新时间:2016-12-01 20:49:08
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【知识点】 几何证明选讲
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解答题-证明题
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【推荐1】选修4—1:几何证明选讲
如图所示,PA为圆O的切线,A为切点,PBC是过点O的割线,PA=10,PB=5,∠BAC的平分线与BC和圆O分别交于点D和E.
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572186229121024/1572186235281408/STEM/cf6c111319f545fe89c9d5bb6bc59398.png)
(1)求证:
;
(2)求AD·AE的值.
如图所示,PA为圆O的切线,A为切点,PBC是过点O的割线,PA=10,PB=5,∠BAC的平分线与BC和圆O分别交于点D和E.
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572186229121024/1572186235281408/STEM/cf6c111319f545fe89c9d5bb6bc59398.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7443c37c687ad060b40ae23f634da089.png)
(2)求AD·AE的值.
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【推荐2】选修4-1、几何证明选讲
如图,已知
是圆
的直径,
与圆
相切与
为圆
上的一点,连接
,
.
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572669819297792/1572669825466368/STEM/9618074a928841748bccad4bce881505.png)
(1)证明:
;
(2)证明:
.
如图,已知
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb21011ea821b91d539cb763aac649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65f28e27c2a9cc64a4d21242e8dbff57.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572669819297792/1572669825466368/STEM/9618074a928841748bccad4bce881505.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/749172766389d88226362c58ed8770cd.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e54259cf02248ee09f3ede84a17fda.png)
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