名校
1 . 如图为世界名画《星月夜》,在这幅画中,文森特·梵高用夸张的手法,生动地描绘了充满运动和变化的星空.假设月亮可看作半径为1的圆
的一段圆弧
,且弧
所对的圆心角为
.设圆
的圆心
在点
与弧
中点的连线所在直线上.若存在圆
满足:弧
上存在四点满足过这四点作圆
的切线,这四条切线与圆
也相切,则弧
上的点与圆
上的点的最短距离的取值范围为__________ .(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/052a11dbe3ffb5fb2060ef673a7f0917.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f626a3b0ce7d148a23f456a9812e80b0.png)
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2024-04-19更新
|
1399次组卷
|
3卷引用:浙江省天域全国名校协作体2023-2024学年高三二模数学试题
名校
2 . 若圆
与圆
只有一个交点,则实数
的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c4071387bb5ce1ca4befeb767c0343.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392c3594f2692b415bc7f71c25a15171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.1 | D.2 |
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3 . 已知与圆
:
和圆
:
都相切的直线有且仅有两条,则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fcea1e59e2fb6f952925153056b9cd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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4 . 已知圆C方程为
.
(1)求实数m的取值范围;
(2)若直线
与圆C相切,求实数m的值;
(3)若圆C与圆
相切,求实数m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbd812f3391bee8853de264722b943e3.png)
(1)求实数m的取值范围;
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ccbfa4df4190907430bf37828edf34.png)
(3)若圆C与圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
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2024-03-05更新
|
125次组卷
|
2卷引用:浙江省杭州第二中学钱江学校2023-2024学年高二上学期期末数学试题
5 . 已知圆
和圆
外离,则整数m的一个取值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f1feb88df28b8532ce5002cae0991e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49f5e4b2566d9d6836ad04c5031c09df.png)
A.4 | B.5 | C.6 | D.7 |
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6 . 已知圆
及圆内一点
,P为圆M上的动点,以P为圆心,PA为半径的圆P.
(1)当
且P在第一象限时,求圆P的方程;
(2)若圆P与圆
恒有公共点,求r的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b3eab13918e2a250c9a9eac092e6092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f2b1f4120365cb6ee4925fe417563f9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13a63015fe678713b94f56d61f9addf.png)
(2)若圆P与圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aabf1608dd9ef8e8f00ffd2ebe4a82b.png)
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解题方法
7 . 已知圆O:
(
)与圆C:
有两个不同的交点D,E.
(1)求r的取值范围;
(2)若
,求线段DE的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3503d330608e7138d1b529aba4512fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ba6b6aa6c3f9faba6b03bc193a6e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a50038a35665cf0d5a714217babd76e.png)
(1)求r的取值范围;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a5900719c2da83d76bef8c7a0abdf82.png)
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2024-01-30更新
|
187次组卷
|
3卷引用:浙江省杭州第二中学2023-2024学年高二上学期期末考试数学试题
解题方法
8 . 已知圆
:
和圆
:
外离,则整数
的一个取值可以是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b57d219360be48e1cbbf38a823e8d8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d75d9ee93cf17184bbc7635b96463761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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9 . 若圆
与直线
相切,且与圆
相切于点
,则圆
的半径为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff1b89e2b6f0b3243afe3c936b8b407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5384def07c4e8eb159c899bc4ab7752.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.5 | B.3 | C.![]() | D.![]() |
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解题方法
10 . 已知抛物线
:
与圆
:
相交于
,
,
,
四个点.
(1)当
时,求四边形
的面积;
(2)四边形
的对角线交点是否可能为
,若可能,求出此时
的值,若不可能,请说明理由;
(3)当四边形
的面积最大时,求圆
的半径
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99622d39db9a625fb4c4e30f6547db4c.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/30/51e49723-fff5-4b1b-8c4e-47a1e739e154.png?resizew=168)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8176754726d2194c890e80df1a1f1c3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
(3)当四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
您最近一年使用:0次
2023-08-27更新
|
1262次组卷
|
3卷引用:浙江省名校新高考研究联盟(Z20名校联盟)2024届高三上学期第一次联考数学试题
浙江省名校新高考研究联盟(Z20名校联盟)2024届高三上学期第一次联考数学试题(已下线)重难点突破07 圆锥曲线三角形面积与四边形面积题型全归类(七大题型)湖北省武汉市武钢三中2024届高三下学期开学考试数学试题