1 . 在平面直角坐标系
中,整点
(横坐标与纵坐标均为整数)在第一象限,直线
,
与圆
:
分别切于
,
两点,与
轴分别交于
,
两点,则使得
周长为
的所有点
的坐标是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41220b7346be5c617024e96aa4b98002.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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64eab3d06d16dfefcd303b1d07801ac0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
解题方法
2 . 已知
,圆
为
的外接圆.
(1)求圆
的方程;
(2)若过点
的直线
被
截得的弦长为
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00e8ca83e2a3829f46ca8d233a036ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8f9648c81481bb487a43f95c04d991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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3 . 已知圆
和圆
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e25b317906ca42ab1c73779cb462ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/800cc7f86ac1d6474e945a8a010336ef.png)
A.两圆的公共弦所在的直线方程为![]() |
B.圆![]() ![]() |
C.圆![]() ![]() ![]() |
D.若点![]() ![]() ![]() ![]() ![]() |
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4 . 已知
,若直线
上有且只有一点
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c92e74b2a45f5330c7aa26a2a363d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2f49fc6babe4d5eba3b33891e75ec1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcd6d152a6392eff03d96ebe61024b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
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解题方法
5 . 已知圆M的圆心在直线
上,并且与直线
相切于点
.
(1)求圆M的标准方程;
(2)直线
与圆M相交于A,B两点,
,过A,B分别作l的垂线与x轴交于C,D两点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcaada7649455fbebcdbdbb9a94e6a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b05063aa8290b34b56ac3b6193cba95f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e81b44959e7398f17a642e84ef52b0.png)
(1)求圆M的标准方程;
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e28ec3cfa99099b6b27f9d45f7867710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d04d94b89c1e6ca3c3cad3e4f7884d37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316699c45f1c088945d0cd3bb46eecfb.png)
您最近一年使用:0次
解题方法
6 . 已知O为坐标原点,P是直线
上一动点,Q是圆
上一动点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc13f1877a59f1cedcc8eb9c5ea23a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063e7c14c4c0049b13e585b848d1d9a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8666dcf99afd4bc85daf382686843106.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 已知圆
与圆
外离,则实数a的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97427eca1d44a150374155fbcff350b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dbc6077824e70643f3bc0071fb67f46.png)
您最近一年使用:0次
8 . 已知经过点
且斜率为k的直线l与圆
交于不同的两点M,N,线段
的中点为P,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6cffa52177f31cd10c42d00f69d4da1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4927e8d705a7d54894e0abceda1d5fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
A.![]() | B.当![]() |
C.当![]() ![]() | D.点P的轨迹方程为![]() |
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解题方法
9 . 已知点
与圆
是圆
上的动点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02af485e17e7628fd5a3ace6e0a32ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c7b3f40286674b67227483ff2e9834f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() ![]() |
B.过点![]() ![]() ![]() |
C.![]() |
D.![]() ![]() |
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解题方法
10 . 已知曲线
,其中
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c56e7f41b3cce1e109a23fafa7dae449.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8af5297c9949914aceb44d6b1df814c.png)
A.存在![]() ![]() |
B.存在![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次