真题
1 . 如图所示,过
外一点
作一条直线与
交于
,
两点,已知
,点
到
的切线长
,则弦
的长为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5fca8c94add435f4aefb933ffe55a01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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2 . 如图所示,⊙O是△ABC的外接圆,AD是⊙O的直径,连接CD,若⊙O的半径r=
,AC=2,则cos B的值是( )
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758200027602944/1817081830154240/STEM/c15e7f13ca2b468897843317de4c17b0.png?resizew=84)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758200027602944/1817081830154240/STEM/c15e7f13ca2b468897843317de4c17b0.png?resizew=84)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 如图,
为圆
的直径,
为圆
外一点,过
点作
于
,交圆
于
点,
交圆
于
点,
交
于
点.
![](https://img.xkw.com/dksih/QBM/2017/12/23/1844447098101760/1846014722129920/STEM/f07f1227e1fe48a49037e2af8a476901.png?resizew=149)
(Ⅰ)求证:
;
(Ⅱ)求证:
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e4b16c2c6c9bd089da78122e9d2511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2017/12/23/1844447098101760/1846014722129920/STEM/f07f1227e1fe48a49037e2af8a476901.png?resizew=149)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d16c2c0de404af921d19fa230aeb0f0d.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f986b0b0c6d79e0bfb5a37434c1dc7a7.png)
您最近一年使用:0次
4 . 如图所示,PA与圆O相切于点A,不过圆心O的割线PCB与直径AE相交于D点.已知∠BPA=30°,AD=2,PC=1,则圆O的半径等于________ .
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758200027602944/1817081830203392/STEM/91b436abd3534b12b4bbcc4893490293.png?resizew=87)
您最近一年使用:0次
5 . 如图所示,AB是半圆O的直径,点C在半圆上,CD⊥AB于点D,且AD=3DB,设∠COD=θ,则tan2
=__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a16d92d3ccdf0ecfaa43eb8ed62ae5a4.png)
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758200027602944/1817081830195200/STEM/027e6e38fed14b0d94131d2fd983e44c.png?resizew=107)
您最近一年使用:0次
6 . 如图所示,已知
的半径为5,两弦
相交于
的中点
,且
,
,则圆心到弦
的距离为
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216309760/STEM/0dc3c8eae2084be882c3aad96e42d349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28d2790a97390935125aa897417f970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cd4f42b0c8c1b81c4f2a73bfa67b234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216309760/STEM/0dc3c8eae2084be882c3aad96e42d349.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
7 . 如图,
为
外一点,
是切线,
为切点,割线
与
相交于点
,
,且
,
为线段
的中点,
的延长线交
于点
,若
,则![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/f32e92fd1a6c450aa26df035d1269dea.png?resizew=37)
__________ ;![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/4d53185f6bc64ef4a9b578e6b7c1a31d.png?resizew=71)
_________ .
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/1d3753cd3bba4b28839998d4bc815be1.png?resizew=16)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/a290c5c8df1a42949b9d211ae070148a.png?resizew=25)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/46a2b7435d4649faae6ef43b9e7ed8ba.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/1b4a4d430d2c4df292811eca03a4ea1b.png?resizew=37)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/39dc1386bd7b4f7297765b191b06a438.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/15c513a735ea40f1b29ae719c45e5f32.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/2d62063d16e84187b23d371a12418680.png?resizew=71)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/4de392ecfa0b4bcbba9ca723a52aa735.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/89876b0b808a434fa4643e41e90f63bf.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/0dfdc0d262a84452bf062ba8ce9b2cc9.png?resizew=28)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/3288a2058455442d873cf887579060b3.png?resizew=16)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4559ab08021b52736d249a6e4424892.png)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/f32e92fd1a6c450aa26df035d1269dea.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/4d53185f6bc64ef4a9b578e6b7c1a31d.png?resizew=71)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/2a22a27640444493a2705eae2b7cb50e.png?resizew=171)
您最近一年使用:0次
2010高三·全国·专题练习
8 . 如图所示,过
外一点
作一条直线与
交于
,
两点,已知
,点
到
的切线长
,则弦
的长为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5fca8c94add435f4aefb933ffe55a01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
9 . 圆内两条相交弦长,其中一弦长为
,且被交点平分,另一条弦被交点分成1:4两部分,则这条弦长是
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216547328/STEM/ca527d0e42884f54a6c199234a973dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af62da2f87dfc02c63e7a1c0949f09d6.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216547328/STEM/ca527d0e42884f54a6c199234a973dd0.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
10 . 选修4-1:几何证明选讲
如图,
0是△ABC的外接圆,AB = AC,延长BC到点D,使得CD = AC,连结AD交
O于点E.求证:BE平分
ABC
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70c6a16eae72a585ea25c9982a97c03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70c6a16eae72a585ea25c9982a97c03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff522636907ba2f6cbcbc1f443d6e05b.png)
![](https://img.xkw.com/dksih/QBM/2015/3/24/1572022242369536/1572022248505344/STEM/3e3045be422b46bfac6fc29749861deb.png)
您最近一年使用:0次