名校
解题方法
1 . 已知直线
,圆
,且圆
过点
,直线
与圆
交于
两点,下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a6059aec6295c52d89e6b0352a394c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bfe49339af7cef23099c4e88bb18dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ed24bfcc37b79fe9ca61ed8fdf26ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
A.圆![]() |
B.直线![]() ![]() |
C.![]() ![]() |
D.![]() |
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2 . 过圆
:
内一点
的2023条弦恰好可以构成一个公差为
(
)的等差数列,则公差
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10103248277cc0ef4ae2136b07a4ebc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/758a8bbcb76c425086a92f133203a433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 已知圆C:
,直线
.
(1)求m的取值范围;
(2)当圆C的面积最大时,求直线l被圆C截得的弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192cb06729bc686a647be076ed86c287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b42ae270621783ce5e318f69a7d76f.png)
(1)求m的取值范围;
(2)当圆C的面积最大时,求直线l被圆C截得的弦长.
您最近一年使用:0次
2024-02-20更新
|
142次组卷
|
2卷引用:湖北省荆州市八县市区2023-2024学年高二上学期1月期末联合考试数学试题
4 . 已知圆
与
交于
两点.
(1)求圆心在直线
上,且经过
两点的圆的方程;
(2)求经过
两点且面积最小的圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fcdde20c0d2b2f85b845fdbb4202fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca86a19ab5201357e6521ee78599ffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ebaa32f4f1f4f807ca9aeb7fb29951.png)
(1)求圆心在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f1a686b80b8f109a929f58c2de7201d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ebaa32f4f1f4f807ca9aeb7fb29951.png)
(2)求经过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ebaa32f4f1f4f807ca9aeb7fb29951.png)
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5 . 若直线
与圆
相交于A,B两点,则
长度可能等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd55f837e9c4e6bba1163ef13edd09b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef47427f5cf639edae3e2523ee0c8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
A.2 | B.![]() | C.![]() | D.5 |
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2024-02-04更新
|
180次组卷
|
2卷引用:湖北省武汉市华中师大第一附中2023-2024学年高二上学期期末模拟数学试题
23-24高三上·湖北十堰·期末
6 . 已知点
,
,动点
在圆
:
上,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3738bb3fced399273145e04ec3955b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/688e997d4de2710f59eb71ad10c83365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b7cdf28fc7d65cdd652fcac785dc2e.png)
A.直线![]() ![]() ![]() |
B.![]() |
C.满足到直线![]() ![]() ![]() |
D.![]() ![]() |
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2024-01-22更新
|
449次组卷
|
4卷引用:湖北省十堰市2024届高三上学期元月调研考试数学试题
7 . 已知圆C:
与直线l:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f410f685afc806508910edc1948d50a6.png)
(1)证明:直线l和圆C恒有两个交点;
(2)若直线l和圆C交于
两点,求
的最小值及此时直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b5b171782b5b7636a612ee5225fcc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f410f685afc806508910edc1948d50a6.png)
(1)证明:直线l和圆C恒有两个交点;
(2)若直线l和圆C交于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae6f48b9a53c0155a692509cf31f7e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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解题方法
8 . 直线
被圆
所截得的弦长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db32cc8a6397d4179cdbb12747ccaafa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5ea2fac7c0ba74c976899f2f29bdd5.png)
A.![]() | B.4 | C.![]() | D.![]() |
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解题方法
9 . 下列结论正确的是( )
A.若直线![]() ![]() ![]() ![]() ![]() ![]() |
B.直线![]() ![]() ![]() |
C.若圆![]() ![]() ![]() |
D.若过点![]() ![]() ![]() ![]() |
您最近一年使用:0次