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)
您最近一年使用:0次
2016-12-03更新
|
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5卷引用: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)
(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)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·辽宁大连·二模
2 . 已知
为半圆
的直径,
,
为半圆上一点,过点圆的切线
,过
点作
于
,交半圆于点
.
![](https://img.xkw.com/dksih/QBM/2016/1/15/1572438604488704/1572438610206720/STEM/f7850f4104584980a61f7e182b8cd92b.png)
(1)证明:
平分
;
(2)求
的长.
![](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/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96dae94a9c26b6dd1dbcdebd20373033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7b783dc89ca6934572319d2e9dfd22.png)
![](https://img.xkw.com/dksih/QBM/2016/1/15/1572438604488704/1572438610206720/STEM/f7850f4104584980a61f7e182b8cd92b.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd777f9452cb8b56d8a0d3b07d15c19f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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2016-12-03更新
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13卷引用:2012届辽宁省大连市沈阳市高三第二次模拟考试理科数学试卷
(已下线)2012届辽宁省大连市沈阳市高三第二次模拟考试理科数学试卷(已下线)2012届河北省唐山一中高三第一次高考仿真测试文科数学试卷(已下线)2014届云南省红河州高三毕业生复习统一检测理科数学试卷(已下线)2014届云南省红河州高三毕业生复习统一检测文科数学试卷2016届宁夏六盘山高级中学高三第一次模拟考试理科数学试卷(已下线)2015届河南省八校高三上学期第一次联考理科数学试卷2016届安徽省马鞍山二中等高三第三次联考理科数学试卷2016届安徽省马鞍山二中等高三第三次联考文科数学卷2016届贵州省贵阳市一中高三第四次月考理科数学试卷2016届贵州省贵阳市一中高三第四次月考文科数学试卷2016届海南省文昌中学高三上学期期末考试文科数学试卷2016届湖北省襄阳市高三上学期期末理科数学试卷福建省2016届高三毕业班总复习(几何选讲)单元过关形成性测试卷(文理科)数学试题
2011·辽宁·模拟预测
3 . 选修4-1:几何证明选讲
如图,△ABC是内接于⊙O,AB=AC,直线MN切⊙O于点C,弦BD∥MN,AC与BD相交于点E.
(1)求证:△ABE≌△ACD;
(2)若AB=6,BC=4,求AE.
如图,△ABC是内接于⊙O,AB=AC,直线MN切⊙O于点C,弦BD∥MN,AC与BD相交于点E.
(1)求证:△ABE≌△ACD;
(2)若AB=6,BC=4,求AE.
![](https://img.xkw.com/dksih/QBM/2011/3/29/1570084766720000/1570084771979264/STEM/d5ba05808d304124a0aad8f96d83b4ca.png?resizew=176)
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2011·辽宁·模拟预测
4 . 如图,直线
经过
上的点
,并且
,
,
交直线
于
,连结
.
![](https://img.xkw.com/dksih/QBM/2011/3/29/1570085018656768/1570085024210944/STEM/d7c52adb2d4c41109efda09fba905350.png?resizew=152)
(I)求证:直线
是
的切线;
(II)若
,
的半径为
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fca3734de79f7f50b552ef62b29dc7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d89ba4036a5d18ec4abed44d7fd8e89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4bc45ba4c2ad98835bfdd40c2212ba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe702d06205c9850d6a87f18a273fe4.png)
![](https://img.xkw.com/dksih/QBM/2011/3/29/1570085018656768/1570085024210944/STEM/d7c52adb2d4c41109efda09fba905350.png?resizew=152)
(I)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(II)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219a483b5834a9d8d6bd00fd0458ab01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
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2011·辽宁丹东·一模
5 . 如图,⊙O是
的外接圆,D是弧AC的中点,BD交AC于E.
(Ⅰ)求证:
;
(Ⅱ)若
,O到AC的距离为1,求⊙O的半径
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9a2089924d6c31b664d2f05cd9a474.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4836945f324c29ef818b423bcc017a93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://img.xkw.com/dksih/QBM/2011/7/18/1570265187606528/1570265193242624/STEM/87a25843fe3d466b9509fcec889bcd8f.png?resizew=222)
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6 . 选修4-1:几何证明选讲
如图,四边形
是⊙
的内接四边形,延长
和
相交于点
,
,
.
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572259485089792/1572259491373056/STEM/bab05a6b70914409b9ccc233459c2dce.png)
(Ⅰ)求
的值;
(Ⅱ)若
为⊙
的直径,且
,求
的长.
如图,四边形
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572259485089792/1572259491373056/STEM/796242376e8240199aefe3b7af00b0fc.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572259485089792/1572259491373056/STEM/34f255d17a534d258a71d8f3ff882796.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572259485089792/1572259491373056/STEM/d6ed371acc6e4996b2f42a8c118b5be4.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572259485089792/1572259491373056/STEM/171fffbca4f94670ba7239c3c5b10863.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572259485089792/1572259491373056/STEM/ad27fa310b8c42c894396f127548e31e.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572259485089792/1572259491373056/STEM/33e0c83893404c4182d1fad333f55b4a.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572259485089792/1572259491373056/STEM/2f608b8367084b3db743d06466930c68.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572259485089792/1572259491373056/STEM/bab05a6b70914409b9ccc233459c2dce.png)
(Ⅰ)求
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572259485089792/1572259491373056/STEM/2b5e290f300c44e1ac1b90735049377c.png)
(Ⅱ)若
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572259485089792/1572259491373056/STEM/0e4d178913b0425dac9efb078d769209.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572259485089792/1572259491373056/STEM/34f255d17a534d258a71d8f3ff882796.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572259485089792/1572259491373056/STEM/308884b466fa4954b7c6dfacea944e12.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572259485089792/1572259491373056/STEM/2da0e5184594431d821ea9176dd4f1a5.png)
您最近一年使用:0次
2016-12-03更新
|
20次组卷
|
3卷引用:2015届辽宁省朝阳市三校协作体高三下学期第一次模拟考试理科数学试卷