1 . 若直线
平分圆
的周长,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ab50682ca88bfa5178e9c4b546a418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a0753502ffbcf0c501ce3fed4e607b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019高三下·全国·专题练习
2 . 已知双曲线
的一条渐近线与圆
相切,切点在第一象限,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c2bef5c293a098d46919de91c03aab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f2976a15b87c3b879a6ce73ecb59943.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 若点(2a,a+1)在以
为圆心,半径为
的圆内,则实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/722130469f5aded0179c8e96fbb27007.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30efdb9c7eb4b788352056f3edf21635.png)
![](https://img.xkw.com/dksih/QBM/2018/8/21/2015201294000128/2017352311971840/STEM/7585868472584892a91b1af8c7537b9d.png?resizew=13)
A.-1<a<1 | B.0<a<1 | C.-1<a<![]() | D.-![]() |
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4 . 圆
与圆
都关于直线
对称,则圆C与y轴交点坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/997385c6a0a904acfd45b4b0117158e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bebb3b7f47e0decd48e64cb32aaa5903.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 在
中,N是边AC上一点,且
,AB与
的外接圆相切,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b50f83fd73b99fc0e0c61d80346e3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa020cb9948ac34d16b37386f05ff36b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f3cd6a673d7e238ebb769839b6317a9.png)
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2018-03-07更新
|
148次组卷
|
2卷引用:2018年江苏省高三上学期期末数学试题分类选考之选修4-1:几何证明选讲
2017高三·全国·专题练习
6 . 如图,MN是⊙O的直径,MN=4,点A在⊙O上,∠AMN=30°,B为
的中点,P是直径MN上一动点.
(1)利用尺规作图,确定当PA+PB最小时P点的位置(不写作法,但要保留作图痕迹).
(2)求PA+PB的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e63f752360194aca10417ca1f467ae.png)
(1)利用尺规作图,确定当PA+PB最小时P点的位置(不写作法,但要保留作图痕迹).
(2)求PA+PB的最小值.
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358351671296/1930322234613760/STEM/4855f3156a374dd999ab1dad1b2dcb41.png?resizew=143)
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7 . 选修 4-1:几何证明选讲
已知点
在圆
直径
的延长线上,
切圆
于
点,
分别交
,
于点
,
,
.
![](https://img.xkw.com/dksih/QBM/2017/11/28/1827047244275712/1828939645018112/STEM/53a59f6801fe4ac4bb86594e47f541b4.png?resizew=171)
(1)求证:
为
的平分线;
(2)若
,求
的值.
已知点
![](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/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd546aa376d38da2cfbae4a38dcbd01.png)
![](https://img.xkw.com/dksih/QBM/2017/11/28/1827047244275712/1828939645018112/STEM/53a59f6801fe4ac4bb86594e47f541b4.png?resizew=171)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78dc4f4584665f0db3d9363784c1683.png)
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 . 已知直角三角形周长为
,一锐角平分线分对边为3:5两部分.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/8/15819737-6aa9-4c81-ac40-9cf2e8d0f6a7.png?resizew=128)
(1)求直角三角形的三边长;
(2)求两直角边在斜边上的射影的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2442fce668d789c1019394a11ffa6450.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/8/15819737-6aa9-4c81-ac40-9cf2e8d0f6a7.png?resizew=128)
(1)求直角三角形的三边长;
(2)求两直角边在斜边上的射影的长.
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10 . 如图,AB为⊙O的直径,过点B作⊙O的切线BC,OC交⊙O于点E,AE的延长线交BC于点D.
![](https://img.xkw.com/dksih/QBM/2016/9/18/1573029659099136/1573029664481280/STEM/26e7223a52e742e0aa322cdfd1b4c576.png)
(Ⅰ)求证:CE2=CD•CB
(Ⅱ)若D为BC的中点,且BC=2
,求AB与DE的长.
![](https://img.xkw.com/dksih/QBM/2016/9/18/1573029659099136/1573029664481280/STEM/26e7223a52e742e0aa322cdfd1b4c576.png)
(Ⅰ)求证:CE2=CD•CB
(Ⅱ)若D为BC的中点,且BC=2
![](https://img.xkw.com/dksih/QBM/2016/9/18/1573029659099136/1573029664481280/STEM/62d59126a38745629a9bfe1e08752716.png)
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