2010·辽宁沈阳·一模
名校
1 . 选修4—1:几何证明选讲
如图,⊙
的直径
的延长线与弦
的延长线相交于点
,
为⊙
上一点,AE=AC ,
交
于点
,且
,
(1)求
的长度.
(2)若圆F且与圆
内切,直线PT与圆F切于点T,求线段PT的长度
如图,⊙
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/9b394cbb08bb4172b6f683d6d56d6e50.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/350a704761f9467f8c4afa5481841a93.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/667c27d748924846b3fe0a8b796f7611.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/6f5023d9d77045569aea4e23aefffb2c.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/e630d8135d4a42eeac25fce4d7c4f4aa.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/9b394cbb08bb4172b6f683d6d56d6e50.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/0d6b089decd74c2d90a9f8349e6fb084.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/350a704761f9467f8c4afa5481841a93.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/609eaf95ae7c4ec9beab6590288546c3.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/cc991d1fa6f0480793c189a4a91dc30a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
(2)若圆F且与圆
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/9b394cbb08bb4172b6f683d6d56d6e50.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/4a3efc5b-125f-4950-9f60-1200190599ea.png?resizew=198)
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2016-12-03更新
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5卷引用:2015届山西省太原市五中高三5月月考理科数学试卷
2015届山西省太原市五中高三5月月考理科数学试卷2015届山西省太原市五中高三5月月考文科数学试卷(已下线)辽宁省沈阳第十中学2010届高三高考模拟考试数学试题(理科)2014-2015学年湖南浏阳一中高二下学期期末理科数学试卷湖南省长沙市第一中学2016-2017学年高二下学期模块性检测数学(理)试题
2012·河北衡水·一模
2 . 如图,
是圆的两条平行弦,
,
交
于
、交圆于
,过
点的切线交
的延长线于
,
,
.
![](https://img.xkw.com/dksih/QBM/2013/1/21/1571105310400512/1571105316200448/STEM/07621d023a264552a14e51ad914afbed.png)
(1)求
的长;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c4cd264c97c1f261229925cc5a6761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d1ee2efdb2c3b7c90198efc88010db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1299069da883e3285cea3f2d54ad1c36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.png)
![](https://img.xkw.com/dksih/QBM/2013/1/21/1571105310400512/1571105316200448/STEM/07621d023a264552a14e51ad914afbed.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e2e1083b773e16d1e385072652f7319.png)
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