解题方法
1 . 已知函数
.
(1)求不等式
的解集;
(2)若存在
使
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f87468cb7b16e48fba42e6b0750d1852.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbc901cbdb68130ddac3174583dd93c.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa18838a13fda4e45612c32cdf98b71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-02-15更新
|
229次组卷
|
2卷引用:山西省太原市2022届高三上学期期末数学(文)试题
名校
解题方法
2 . 已知函数
.
(1)若
,求不等式
的解集;
(2)若
,
,
,且
的最小值为
,求值:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efeba3e026d2c23f04b2c42d403ec98.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ed62542a89e4eaff3644ca4d9e2425.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a296a4d17a28ac5cf6a1e9f61d0821.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a517541031e7760e67bdadf3b1c9ecc.png)
您最近一年使用:0次
2022-01-24更新
|
681次组卷
|
4卷引用:山西省大同市2022届高三上学期期末数学(理)试题
名校
3 . 已知
.
(1)当
时,求不等式
的解集;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85864a61c60ae99874e3ecea5a786738.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a075dce77c9a6b964a8a3fc1ee6e8c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5931095eb29d9d6b55ed9fa32a4ef1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-01-24更新
|
158次组卷
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2卷引用:山西省怀仁市第一中学2022届高三上学期期末数学(文)试题
解题方法
4 . 已知函数
.
(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/1834530c89c5bc7a742249af388070f7.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c7679f885826301bb5a826ba7bcea01.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8471b287299169669016f674ee219550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
5 . 已知函数
.
(1)当m=3时,求不等式f(x)≤8的解集;
(2)若f(x)≥3+x恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/161b5e0bb6910008ffa64b5064539560.png)
(1)当m=3时,求不等式f(x)≤8的解集;
(2)若f(x)≥3+x恒成立,求实数m的取值范围.
您最近一年使用:0次
解题方法
6 . 已知函数
.
(1)解不等式
;
(2)若
对任意
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a901e1b4b76ca9064020b51a1670f21e.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e2405c4822bceae1cf191edb502d3b0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6830dbdbc6a91d268b4a716ba0d43165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2021-08-02更新
|
154次组卷
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2卷引用:山西省吕梁市2020-2021学年高二下学期期末数学(文)试题
名校
7 . 已知函数
,其中
为正实数.
(1)当
时,求不等式
的解集;
(2)若函数
的最小值为
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/068b98987beb9d7537cf3124c29229a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b65e19e487ed609540dcbdac3fda53e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04005072a28f26bdfe69a6a2d2b4059d.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd4067a19eeb07474557fe7b2508880.png)
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2021-07-20更新
|
267次组卷
|
2卷引用:山西省长治市第二中学2020-2021学年高二下学期期末数学(文)试题
解题方法
8 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若不等式
对于
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/381e2c1a72f775c9284663f7e6aa13a5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03fc1cd2baabbf8afea25478e1258237.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f592eff988f087f80c3276c7d306e0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
您最近一年使用:0次
2021-02-03更新
|
278次组卷
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2卷引用:山西省运城市2021届高三上学期期末数学(理)试题
9 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bf18cddcaa822a33b259af1c3a8135.png)
(1)解不等式:
;
(2)记
的最小值为
,若
,且
,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bf18cddcaa822a33b259af1c3a8135.png)
(1)解不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ec4add31dd4c2d48aadbb7bd13e607.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8674e0c29d69918736b83bdc8288dc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab04de6651256f6281e9f4c1dc3c7955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c506957f43332094eef6cd4f8fdbd1.png)
您最近一年使用:0次
2021-01-30更新
|
541次组卷
|
5卷引用:山西省怀仁市2022届高三上学期期末数学(文)试题
解题方法
10 . 已知函数
.
(1)若
,使得不等式
成立,求
的取值范围;
(2)若
对任意
恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2440fc2be4869e6523ea4765499125e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a375b3c730d08ad55a2d18be8da8f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/543c35f3bd6b247df0a65d32669915eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ae7415df3e339c4c5badb61d8e64e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
您最近一年使用:0次
2021-01-27更新
|
56次组卷
|
3卷引用:山西省怀仁市2021届高三上学期期末数学(文)试题