1 . 已知函数
.
(1)若
有三个零点,求实数
的取值范围;
(2)若函数
在
上的最小值为
,求
在
上的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d689e7f84652bee628407cafe870e5a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26e3e952cd4fe42045c79e792bf7877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1e12efc515a2a7cf8e7e438c60303a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b1250bce217cfa51a6aa12fac294f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1e12efc515a2a7cf8e7e438c60303a.png)
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2 . 已知函数
(
,
)的图像两相邻对称轴之间的距离是
,若将
的图像上每个点先向左平移
个单位长度,再向下平移1个单位长度,所得函数
为偶函数.
(1)求
的解析式;
(2)若对任意
,
恒成立,求实数m的取值范围;
(3)若函数
的图像在区间
(a,
且
)至少有10个零点,在所有满足条件的区间
中,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0644f0e6450dc72668694ab7dfa3252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb61a448347a3f8c1f126d1c00730cc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeb076bad84890e24dbdc945ad543cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad821140d72e46733e1b38b3c3245ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2625557af842ee4669ab105b37c36f81.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/242850e4d43e5f02af1e77e7e2aca8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/726c078ca626f64e0d02c2666d8af105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
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3 . 已知函数
,则
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa5748e4072b2755c5c824b32bdc434.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c01bd431ff8688b3fab189891780f05f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-24更新
|
849次组卷
|
2卷引用:重庆市第八中学校2024届高三下学期高考强化训练(二)数学试题
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4 . 已知函数
满足
,则实数
的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18063ace5a7b4a226e5c4132d62fdc6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78050fea9b1de4ae874b0bd5d465f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
5 . 已知
,且
,则
的最小值为________ ,最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2eabfb444c84e3e1f917b2eeca59307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0807935194aba99c05ac75a6f6326c2c.png)
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6 . 已知幂函数
为奇函数,且在区间
上是严格减函数.
(1)求函数
的表达式;
(2)对任意实数
,不等式
恒成立,求实数t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235c90fcdb60c4ce075e271d86d49c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)对任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/503a002dd51f5338c4bc0e15fb201c3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a4d73c97d6a042fc1a721fdaa99957b.png)
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2024-04-15更新
|
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3卷引用:重庆市乌江新高考协作体2024届高考模拟监测(一)数学试题
重庆市乌江新高考协作体2024届高考模拟监测(一)数学试题上海市上海大学附属中学2023-2024学年高一下学期期中考试数学试卷(已下线)专题07 函数解析式中的参变量----运动变化思想的应用(一题多变)
名校
解题方法
7 . 已知函数
的定义域是
,
,
,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e23be533429387772591dc5124455e8.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b29c2dd01cd89c53549c5963d8e75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f21f8a50948fda9f24b2611ad4ab95e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c3c25e249dc58288abe2a5877babd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77930198e21c51159276c01ae276d6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e23be533429387772591dc5124455e8.png)
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8 . 已知实数
,
分别满足
,
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d9d2b52469360ab9e19b6aa6fcb60be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe38514ee2935a8797fa3ca83ac50e54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edf63771c3a911ec51fca3ac2e7cb01.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-13更新
|
962次组卷
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4卷引用:重庆市万州第二高级中学2023-2024学年高二下学期期中质量监测数学试题
解题方法
9 . 已知函数
,若对任意两个不等的正实数
,
都有
恒成立,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fd5390482e4ed10943c47fb132f2ac7.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/c1027a9526be02a8910fee4d627274b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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