1 . 已知圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3eb134ea9aa4bdd4042c0dcd9bab80a.png)
,圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6bdfe2b7200668e848fc66a15c52ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c508259031e8a26fcf54cca2482466.png)
,点
为圆
上的一点.
(1)若过
点作圆
的切线
交圆
于
、
两点,且弦
长度最大值与最小值之积为
,求
的值;
(2)当
时,圆
上有
、
两点满足
,求线段
长度的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3eb134ea9aa4bdd4042c0dcd9bab80a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6bdfe2b7200668e848fc66a15c52ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c508259031e8a26fcf54cca2482466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13919fbd79430464ac0c4b2db02c1612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
(1)若过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85771c158f7597980eb2728bd04edaf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.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/2686149cd09003b9dcccb51d81fe51ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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2 . 已知圆
过点
,圆
.
(1)求圆
的方程;
(2)判断圆
和圆
的位置关系并说明理由;若相交,则求两圆公共弦的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca0446aca9d8c3da619a3436ba650ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfa97986dd8b6302eaa7afe35260b075.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)判断圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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名校
3 . 已知点
在圆
上,点
是直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a461995b90655f5133df6f61c2d09bd.png)
上一点,过点
作圆
的两条切线,切点分别为
、
,又设直线
分别交
轴于
,
两点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b31422fa6d9a8461a4c0ac344cd6ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a461995b90655f5133df6f61c2d09bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66ca1a0c83eb6a2058ae381c5775830a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.![]() ![]() | B.直线![]() |
C.满足![]() | D.![]() ![]() |
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4 . 已知圆M:
,圆N经过点
,
,
.
(1)求圆N的标准方程,并判断两圆位置关系;
(2)若由动点P向圆M和圆N所引的切线长相等,求动点P的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c8fd43588e3d6a8098725ead54ff6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b62194097ac66a5093c57fca2f5b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29610a3415c1e795d35979a5a9ff69f3.png)
(1)求圆N的标准方程,并判断两圆位置关系;
(2)若由动点P向圆M和圆N所引的切线长相等,求动点P的轨迹方程.
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解题方法
5 . 已知圆
的圆心坐标为
,则关于圆
的说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6e7241d84b4f045a6f551bf7aa7f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48befa5d90fafd8bfdb6c90fd241ebfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.![]() |
B.圆![]() ![]() |
C.直线![]() ![]() ![]() |
D.圆![]() ![]() ![]() |
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2024-03-07更新
|
235次组卷
|
2卷引用:云南省昭通市一中教研联盟2023-2024学年高二上学期期末质量检测数学试题(A卷)
6 . 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![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
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解题方法
7 . 已知圆
与圆
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fcdde20c0d2b2f85b845fdbb4202fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca86a19ab5201357e6521ee78599ffa.png)
A.两圆的圆心距为![]() |
B.两圆的公切线有3条 |
C.两圆相交,且公共弦所在的直线方程为![]() |
D.两圆相交,且公共弦的长度为![]() |
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解题方法
8 . 已知圆
和圆
相交于A,B两点,则弦AB的长为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eccc2cc5512d2c4a2a1ff35cbf395314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e983a503b8f416f932da29524f46d552.png)
A.![]() | B.![]() | C.4 | D.2 |
您最近一年使用:0次
2024-03-01更新
|
591次组卷
|
2卷引用:江苏省东台市2023-2024学年高二上学期期末数学试题
9 . 圆C:
与圆
的位置关系不可能( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87606c54fe27578cd9a2db433fab7a0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41c0f110ef95c670325c12ac6f79d80b.png)
A.内含 | B.内切 | C.相交 | D.外切 |
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10 . 已知圆
经过点
和
,且圆心
在直线
上.
(1)求圆
方程;
(2)若圆
的方程为
,判断圆
与圆
的位置关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c59f0e35b7ae5206e45878934482b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cab5c6534e43f0ecc54a311a16df80e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c6d3c99b7004603ba9ea9c341b8b3f.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e318cefab1d71238b6a770e9d5fe154e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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