名校
解题方法
1 . 已知函数
.
(1)若
,求不等式
的解集;
(2)若
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efbda307933df4fd0e0730fd77b81246.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67924b367a3ce000502f6396d080ab56.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22b8813d87e3d4e49ae5f388b83e2ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
2 . 已知函数
.
(1)解不等式
;
(2)若不等式
恒成立,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af681bfcfc5e82270e4ef0351b72db4.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a3bdef65f8426e230f20a4bb97e2d9.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b4a10d3682f03b161b864a7511473d.png)
您最近一年使用:0次
名校
解题方法
3 . 已知
.
(1)当
时,求不等式
的解集;
(2)若
,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969721788266fe21025a399a04de05dc.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4dc6bf36a4ee408b630d02e8dd2bc0c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e627245e81679e1a55979fb8d89170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc3985a18de5dada8ba78847f78e9c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
4 . 已知函数
是定义在
上的奇函数,当
时,
,其中a,m为实数,且
.
(1)当
时,求实数
;
(2)若对任意
,
恒成立,求实数
的取值范围;
(3)试求满足
的所有的实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ca8dbdfa95e4175fcfa2e93336598e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c857db5d3e377851c4a50e2360c8d90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)试求满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faf12330c0f061bedad62b8553c902dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 已知函数
,若函数
的图像恒在函数
图像的上方,则m的取值范围为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54eb7d27f3f241be0cd613bf8c3b2120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
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2024-01-23更新
|
111次组卷
|
2卷引用:上海市同济大学第二附属中学2023-2024学年高一上学期末考试数学试卷
名校
6 . 已知函数
的图象过点
.
(1)若关于
的方程
在
有实根,求实数
的取值范围;
(2)若函数
,则是否存在实数
,对任意的
,存在
,使
成立?若存在,求出
的取值范围,若不存在,请说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2adbc26cc02bf54c422738fba4bc4483.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/613572edb9e8c1e60f609a19e27362ea.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b4874cf36b6082ba4d539ff3ee69a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ec9c83a66e586d3601b1f1440ebb5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be4474bd96f620ebf3759b36cb6a1251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c7f93185d5e8863c8977d3aafe9c7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f64b6734d1f62550d9864c0ba7f1c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c96d62bb7eb9d3a4738717a9005d261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
您最近一年使用:0次
解题方法
7 . 已知函数
.
(1)当
时,讨论函数
的奇偶性;
(2)若
对任意的
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c7de4ceab97c7a92d7bd3cfb5ccc7a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4921923069c4f38a0af1ff8637e35b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-01-22更新
|
130次组卷
|
2卷引用:甘肃省庆阳市第二中学2023-2024学年高一上学期期末考试数学试题
8 . 已知函数
.
(1)求不等式
的解集;
(2)若存在
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037ca2303abb4f486e5f2666b2b472ec.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/227c96db35dc74ef4ddbc49d17580022.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962dba16e9f5129df453497cee42266e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-01-20更新
|
353次组卷
|
5卷引用:陕西省榆林市2024届高三一模数学(理)试题
2024·全国·模拟预测
解题方法
9 . 已知函数
.
(1)若
,求不等式
的解集;
(2)若
,函数
的图象与直线
所围成的三角形的面积为1,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97559b218a29d95b07cd1b7fb433a5c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e92c98808f0c0d4ee2ab74abed7fb55e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fc1fea0f80a7f564e2caa62e22bc1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数
,且不等式
的解集为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d846fd8aa11cfd66a948218fc49cdd9e.png)
(1)求
的值;
(2)设函数
,若不等式
对任意
且
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d0d8546284558d2c168e52086cee37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b3449a8a558267c2a1baab2acc6a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d846fd8aa11cfd66a948218fc49cdd9e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e2825e22f98e16bb5899141881d75b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff00b3c0cbf6fac434a83e667971f5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0baedc4d7e690ab3f7d80d30ba0a9efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次