1 . 已知直线
与圆
:
和圆
:
都相切,则直线
的方程可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13d74fc4462668bc7b7571de96a1b044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fefe96c3a4a0a28aaf894cfa952cb99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知动点
分别在圆
和
上,动点
在
轴上,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f44755c5fee4b90266eac73ad47a128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca1f76d593f96f17a696ce7634ab5bf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58147d64340ea78bd7d1ea476a77740b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.圆![]() |
B.圆![]() ![]() |
C.![]() ![]() |
D.过点![]() ![]() ![]() |
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2024高二下·上海·专题练习
3 . 已知点
在圆
上运动,若对任意点
,在直线
上均存在两点
,
,使得
恒成立,则线段
长度的最小值是 ______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061af1c7a4480004221e253d813efe07.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/c6755d03c30c4a3987bdaf50a9d86a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
名校
4 . 已知圆
的圆心到直线
的距离是
,则圆
与圆
的位置关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebb71c8d89d087eb4283731febd9e522.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/125dbf77e49d9b994d1ba8fb7a143607.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50690dab38f4512eb72e18b7f86cf6f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dfcfaa4b1af9736431fd095fe2b868c.png)
A.相离 | B.相交 | C.内切 | D.内含 |
您最近一年使用:0次
名校
5 . 已知圆
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad331ee6a0deefe4bdbc0bc728273179.png)
A.圆![]() ![]() |
B.圆![]() ![]() |
C.圆![]() ![]() |
D.圆![]() ![]() |
您最近一年使用:0次
2024-06-15更新
|
291次组卷
|
2卷引用:广东省茂名市高州市2024届高三第一次模拟考试数学试题
名校
6 . 已知在正方体
中,
,点
为
的中点,点
为正方形
内一点(包含边界),且
平面
,球
为正方体
的内切球,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92535536bd3c2761724fd058427f95a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b6053e396df2cd152e1329fce766d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/770b4f16694b2bd79a1a93d776a82680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
A.球![]() ![]() | B.点![]() ![]() |
C.异面直线![]() ![]() | D.三棱锥![]() ![]() |
您最近一年使用:0次
名校
7 . 已知圆
,圆
,则这两圆的位置关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4633a33b5143be614673f03abed7fa0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2d2638a7ebb4a3c5e61849f0839a63.png)
A.内含 | B.相切 | C.相交 | D.外离 |
您最近一年使用:0次
8 . 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)
您最近一年使用:0次
9 . 已知直线
(
不同时为0),圆
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e95a4e689e4acf1cb2b9f863efa856e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab276155617fe201dcc71b5f1b54ab75.png)
A.当![]() ![]() ![]() |
B.当![]() ![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
10 . 已知
为椭圆
的左、右焦点,点
在
上且位于第一象限,圆
与线段
的延长线、线段
以及
轴均相切,
的内切圆的圆心为
.若圆
与圆
外切,且圆
与圆
的面积之比为9,则椭圆
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7638c88f01d609d79947033ed4ff36a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.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/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da01a3abe1c9dc4e6283afa0dc1a0d39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次