名校
1 . 已知直线
的方程为
,则直线
的倾斜角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d95b1292ba9ba95684dba65359fdc27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.![]() | D.不确定 |
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2023-12-21更新
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4卷引用:江苏省盐城市射阳中学2023-2024学年高二上学期第二阶段测试数学试题
名校
2 . 过点
且斜率为
的直线的点斜式方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d00f3ce192e2436cce133a33d05ae5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 若直线与圆
相交于
两点,则
长度可能等于( )
A.2 | B.4 | C.![]() | D.5 |
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4 . 已知圆
:
与圆
相交于
,
两点,直线
,点
为直线
上一动点,过
作圆
的切线
,
,(
,
为切点),则说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9613c3021a9b22ad21282f08f349129.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/58fe7e1d2034b3d3cd99a6d0733283b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
A.直线![]() ![]() | B.线段![]() ![]() |
C.直线![]() ![]() | D.![]() ![]() |
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5卷引用:江苏省常州市联盟学校2024届高三上学期12月学情调研数学试题
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解题方法
5 . 已知直线
:
和曲线
:
有公共点,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf0bb7c3bc893616aa1ff9cca6ea5281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/112eff96fc07f910108b3cf20252c4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:江苏省苏州市南京师大苏州实验学校2024届高三上学期阶段测试(五)数学试题
6 . 已知直线
,直线
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b43a797c23d54799a4ea37f3a8330aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e77b4b2f9c1077efb8fea30fdc80d3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e03566282ef39ad17821036f228174.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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597次组卷
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4卷引用:江苏省扬州市宝应县画川高级中学2024届高三上学期第二次阶段性学情检测数学试题
7 . 在平面直角坐标系xOy中,已知圆锥曲线
,对于曲线
上的点
,它对应的曲线
在点
的切线方程为
.例如对于抛物线
在点
处的切线方程为
即
.设抛物线
,过点
引抛物线C的切线,切点记作A,B.
(1)求直线AB的方程;
(2)设经过三点A,B,M的圆记作圆N,已知动直线l与圆
相切且与圆N相交于E,F,求弦长
取得最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a53d5d9a1d12590334781f71d2a071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbec8b46231e412ddce55cc96634e182.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbec8b46231e412ddce55cc96634e182.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284aece5d76e6af560fbf472be277090.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7ad3432ac96b0a38beaa7f2edc3499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/959e5ab675f526dfb54b05f8f82151b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50c974ba30f3f9455c1ae00cc0653ee0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baabfd32465e9e50409413d9c1358279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/068070122e10cd0be6fcb91cfeb40639.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c35194af2e4ba8bc8daa61f19df87701.png)
(1)求直线AB的方程;
(2)设经过三点A,B,M的圆记作圆N,已知动直线l与圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2d15804882ad0df60e3967753214087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e1c33a1ced5cfb0f95898a479cc6018.png)
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解题方法
8 . 已知直线
与圆
有两个不同的公共点A,B,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925a22d603155ad989357db6a4ea2bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd432589cb00c29cac1806288e99ed0.png)
A.直线l过定点![]() | B.当![]() ![]() |
C.半径r的取值范围是![]() | D.当![]() ![]() |
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9 . 若直线
与直线
垂直,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e54f7af574f7841441313ce7314b16f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb341301f7e5ef338f3861885709a27f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.1或0 | D.1 |
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解题方法
10 . 已知抛物线
,圆
,在抛物线
上任取一点
,向圆
作两条切线
和
,切点分别为
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b56c036703405337652b025fbf57b2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0873a0f3245544b4451ec5d2570dbe41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6da9ea780ba5e54f3be57b4a7bb12b1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-12-19更新
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2卷引用:江苏省张家港市暨阳高级中学2023-2024学年高二上学期12月自主学习能力测试数学试卷