1 . 曲线
在点
处的切线与两坐标轴所围成的三角形的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ff344f9787630e368039f0ab0b4471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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今日更新
|
413次组卷
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3卷引用:2024届河北省保定市九县一中三模联考数学试题
2024届河北省保定市九县一中三模联考数学试题贵州省部分学校2024届高三下学期联考数学试卷(已下线)高二数学期末模拟试卷01【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(北师大版2019选择性必修第二册)
名校
2 . 如图,设
,
是圆
上的两个动点,且M、P点都不在坐标轴上,点M关于原点的对称点为
,点M关于x轴的对称点为
,若直线
,
与y轴分别相交于
和
则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/793894c733026e3f5900b31538fcb731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a0d57b17ddff13ca6f17f3969a32b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/393a0e30b023f2a20d366eef481b5eea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/566b349adddfbd4144f0ecf7a13b05bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/924d2a2d9437355998498de38b5ebf54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1e4ea387d312c373970434e84779364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f667b7672302c7644e31103865e9230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc3fa6438d73fac62ea3d535f1c1cdab.png)
A.2 | B.4 | C.6 | D.8 |
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3 . 已知函数
,
,其中
为常数.
(1)若
时,求函数
图象在点
处的切线方程与坐标轴围成的面积;
(2)若对任意
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82e20ca2a90d280a805f52776c8c1dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423eface14f17afa5182c5b1a8001d92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c6b6a11760d0724b0b60e55970e229.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48350c9f896c18a64f27867ca81c9be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43920f5171ed31db2520ef00e4c5fc24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
4 . 已知点
在圆心为
的圆M外,过P作圆M的两条切线PA,PB,切点分别为A,B,则过P与直线AB平行的直线方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/889a5e04c5187fb20415a59ce6adeed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
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2024·全国·模拟预测
5 . 已知函数
,
.
(1)若
的解集为
,求直线
与坐标轴围成的三角形面积;
(2)若
的值域为
,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/160ba72087dbd60feb1cb651e1396dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ceed736009579fd415e6e0fb7c8d8d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d5f42cafa3f30f15049ba979b90f2c3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01250ef885535d8a4d874fd7fce1ded7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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6 . 已知函数
(
)在点
处的切线为直线
,若直线
与两坐标轴围成的三角形的面积为
,则实数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf648e139a2a1ea4fa26d3c24e1cff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.1 | C.2 | D.![]() |
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2024-04-20更新
|
954次组卷
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5卷引用:江西省赣州市十八县市二十四校2024届高三下学期期中联考数学试题
7 . 已知曲线
与曲线
的公共点为
,则曲线
在点
处的切线与坐标轴围成的三角形的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b070feff11197d4f64332d1b737d0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c49f2aa09c6fba94270d79cb97827fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c49f2aa09c6fba94270d79cb97827fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024高三·全国·专题练习
解题方法
8 . 已知△ABC的顶点A(2,-4),B(6,4).若AC的中点M在y轴上,BC的中点N在x轴上.求:
(1)点C的坐标;
(2)△ABC的面积;
(3)直线MN的方程.
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2024高三·全国·专题练习
解题方法
9 . (多选)下列结论正确的是( )
A.经过点P(-2,5),且斜率为-![]() |
B.过点M(-3,5)且在两坐标轴上的截距互为相反数的直线方程为x-y+8=0 |
C.过点(x1,y1),(x2,y2)的直线的方程为(y-y1)(x2-x1)=(y2-y1)(x-x1) |
D.任意一条不过点(0,2)的直线均可用方程mx+n(y-2)=1形式表示 |
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