名校
解题方法
1 . 已知函数
的导函数为
,且
,当
时,
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e91770acb583f05c3ead767d247be034.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d09afb1e101b1556179200f9a59d23a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f12e34de335c69e51876e9447659aa40.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
2 . 已知函数
,则方程
在区间
上的所有实根之和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d114a9b8c3264711e25db9515aec56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28638f8c054a7bb4d9b46fde330bc76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac9c64ba837387d640de4b8e2191b1b5.png)
A.2 | B.4 | C.6 | D.8 |
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3 . 已知函数
,若存在实数
,
,
且
,使得
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec44311106711d4245d1adb4d12a69b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e45e961dd36b8f85703c91f248da3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa1035c56842f3dbfd9ea26d899838b7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
4 . 设正数
不全相等,
,函数
.关于说法
①对任意
都为偶函数,
②对任意
在
上严格单调递增,
以下判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56667aabbe787eb1c3189d487d203e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d74781f2fcb2c572de65c4f702d5457.png)
①对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d75c03244f2565ccad815ed9305655b4.png)
②对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d75c03244f2565ccad815ed9305655b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d720165be8b61db4a8b305ad47c7f2a0.png)
以下判断正确的是( )
A.①、②都正确 | B.①正确、②错误 | C.①错误、②正确 | D.①、②都错误 |
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5 . 在等腰
中,
,若点M为
的垂心,且满足
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6e4a2df58a236c20df5df0d29a466c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f23a8277574896dd8c46d744851b42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d54d09ef825305de83671448a3dea21.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
6 . 如图,直线
,点
是
,
之间的一个定点,点
到
,
的距离分别为
和
.点
是直线
上一个动点,过点
作
,点
在线段
上运动(包括端点)且
,若
的面积为
.则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1095c036b49c3327baaa2c3c7f746134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822ba132ca9dd0d4a050659aef3c9b26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b96dce1ec94eb90c243b2eddb78476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4901a7eda97d6a307db76c4fb196ba3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ce9a4fe0565a6810452d3fa9c747662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59809f2fa9ce4c833cdf5fe102feb8d8.png)
A.![]() ![]() | B.![]() | C.![]() | D.![]() |
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名校
7 . 如图,平行四边形
中,
,
.现将
沿
起,使二面角
大小为120°,则折起后得到的三棱锥
外接球的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1cc201327a8ee3fd646948d3f0c5d9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05d35d8d8bb0dc17f2f86fe5b230a2b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282d4a8c3476b2b81e3fd73898e64539.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3931333820859378ea6723ff3075189.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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|
2卷引用:浙江省重点中学四校2023-2024学年高一下学期5月联考数学试题
名校
8 . 设定义域为
的偶函数
的导函数为
,若
也为偶函数,且
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d0c99ddd028f0bc3b1d64924ff0f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0447c401e9057ecc377ff1fade4ecc8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cceb1c2ba5c5492ec58c771786eef767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 曲线
与曲线
有公切线,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5db192285632d1991b4ee7a003a52205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84178064b72d04058531dda176e52b91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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昨日更新
|
575次组卷
|
3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
广东省茂名市高州市2024届高三第一次模拟考试数学试题(已下线)专题7 两个函数公切线问题【讲】(高二期末压轴专项)山东省泰安市新泰市第一中学东校2023-2024学年高二下学期第二次质量检测数学试题
10 . 已知双曲线
的上焦点为
,圆
的圆心位于
轴上,半径为
,且与
的上支交于
两点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7bcb34ed3bf1981b04d07b53030264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb21011ea821b91d539cb763aac649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe4bb74e6e498622b4c32ced5b6fcee.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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