2010高三·全国·专题练习
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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真题
2 . 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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名校
3 . 如图所示,已知直线
的方程为
,⊙
,⊙
是相外切的等圆.且分别与坐标轴及线段
相切,
,则两圆半径![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
__________ (用常数
表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f6e613ffa032e7e893daa1970d3948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b2bc7331e651f466890b46111b962e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/1/4c1689d5-6d77-40e0-b08d-9da2426bc4fc.png?resizew=171)
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2018-05-25更新
|
184次组卷
|
2卷引用:【全国百强校】安徽省合肥市第一中学2018冲刺高考最后1卷理科数学试卷
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)
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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)
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6 . 如图所示,
为
的直径,
,
是
的半径,
,点
在
上,
,点
是
上一动点,则
的最小值为 ________ .
![](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/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/771b610e4ddefa739a985d1e5462ce5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667349d99185bb045030b733352ff7fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0183ed5a6ea476f7a7db1f8b5d9fad2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
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![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216621056/STEM/c62ee430f5e34ff1b8cac53284bd0d2d.png?resizew=100)
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7 . 已知
和
内一点
,过
的直线交
于
两点,若
,
,则
的半径长为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41c053fd14095b09dab9e32262e69bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd7d518694c5ebd73d9bbf45b6b51e77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216596480/STEM/05ebc8de7cd4494fb7fa181588b6d870.png?resizew=105)
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8 . 如图,AB是半圆的直径,点O为圆心,OA=5,弦AC=8,OD⊥AC,垂足为E,交⊙O于D,连接BE.设∠BEC=α,则tanα的值为_________________ .
![](https://img.xkw.com/dksih/QBM/2015/10/10/1572256949780480/1572256955678720/STEM/95633480dd88443da987f31bf78e4dc2.png?resizew=144)
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9 . 15(几何证明选讲选做题)如图,
是圆
的直径,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfd41df221293d5cdbab35be6ae5987e.png)
______
![](https://img.xkw.com/dksih/QBM/2015/10/8/1572247535755264/1572247541481472/STEM/6dd94026e36a43a1b1eb042f9fe3dfca.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2015/10/8/1572247535755264/1572247541481472/STEM/03fd77017d714b17b8152e4a47c614e2.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/10/8/1572247535755264/1572247541481472/STEM/797c984e40ed4074a9de99b557e9f1cc.png?resizew=68)
![](https://img.xkw.com/dksih/QBM/2015/10/8/1572247535755264/1572247541481472/STEM/8021a76cfd17480ba5e4d7239a7419a5.png?resizew=103)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfd41df221293d5cdbab35be6ae5987e.png)
![](https://img.xkw.com/dksih/QBM/2015/10/8/1572247535755264/1572247541481472/STEM/0a2644f1caf54e728fc07e6dbfcc6136.png?resizew=121)
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10 . 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)
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![](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)
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![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/4d53185f6bc64ef4a9b578e6b7c1a31d.png?resizew=71)
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