解题方法
1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e441e1fa70e79ace5077425f471fd44.png)
(1)当
时,求
的最小值;
(2)当
时,若
在
上的最小值为0,求实数
的取值范围;
(3)当
时,若
对任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e441e1fa70e79ace5077425f471fd44.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a3aa9174b34a638b75ba3e685622b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bdfed8d6862125dc1fecfce0322a750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15d00e896ece0bec6845cdf25235bcbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/256f3981024e53f373a80aad40e994ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2021-01-26更新
|
447次组卷
|
2卷引用:浙江省金华市义乌市2020-2021学年高一上学期期末模拟数学试题
20-21高一·浙江·期末
解题方法
2 . 已知函数
.
(1)若
,求在
上的最大值;
(2)若
在
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eaa42c6e6b991973ef0ce9083f31c37.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c712829d60b4ea93966a5c68c24d677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbb01a7f5e9861aa185c6c63fcd58c0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734dd60dad916b6a8630abfc853acd2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbb01a7f5e9861aa185c6c63fcd58c0.png)
您最近一年使用:0次
名校
3 . 已知函数
,
.
(Ⅰ)若当
时,不等式
恒成立,求实数a的取值范围;
(Ⅱ)若
有且仅有两个不同的解,求a的值;
(Ⅲ)若
时,求
在
上的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31494b66d64a2d92a184b45aeef44c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ca6c7a07c73c6c9dd9b7abbc460f6e.png)
(Ⅰ)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/737c165baced95d7095d9f918a9cc110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43920f5171ed31db2520ef00e4c5fc24.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb82d209990c30fc74edd78fb7dc844.png)
(Ⅲ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591574c742a91991f5a67cc079b56da6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30a5498bb0236a2bb04ae38329b408.png)
您最近一年使用:0次
4 . 已知函数
,其中a,b,
.
(1)当
时,求函数
的单调区间;
(2)若对任意
,都有
恒成立,求实数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11976693acdf39ca341f1a2e115ba075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48adb8a59b5c02fad5eada1b35171cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c47545bd5310d9c5c8de5f64a2a6e2e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5aa200de40134d6c0c865a9bc7ecb3b.png)
您最近一年使用:0次
5 . 已知函数
.
(Ⅰ)存在实数
使得
成立,求实数
的取值范围;
(Ⅱ)对任意的
都有
成立,求实数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5878df9303b8de6abf237f62ea33d7df.png)
(Ⅰ)存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98482ea7b98e0f06e72664e78389e4db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859458471c86ae39e0cc42d2d960d03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅱ)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98482ea7b98e0f06e72664e78389e4db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc36ead3ea0e23a105e3cc3188bf2e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
解题方法
6 . 解不等式:(1)
;
(2)
;
(3)|x-5|-|2x+3|<1
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8478c36e6c416b58962a4552678d09.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64604487282b5bc2b9b79f25b885067e.png)
(3)|x-5|-|2x+3|<1
您最近一年使用:0次
20-21高三上·浙江·阶段练习
解题方法
7 . 已知函数
.
(1)当
时,解不等式
;
(2)对任意的
,当
时,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ac9598945a06d5ef0fcf3aec87c340.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be1d8c6384d7fabddb693b2b7fcdf4a.png)
(2)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59f385df2d7165fb0c4afb8bb3399cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df4cf16e39bff4aa2d482c90411d5ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87adec4e1daebf4d042335b06f705749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
8 . 已知
,
,若函数
为奇函数,则
的最小值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe988012d59e61f9f4b0e21390432af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219aaf72d8a603df9ffb833b3006b009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4133958c09fdd82cda8838c9cf46ccda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af7fa9a7b0dfd917f4c26ad7ed91efa0.png)
您最近一年使用:0次
2020-11-15更新
|
504次组卷
|
4卷引用:【新东方】422
(已下线)【新东方】422上海市复旦大学附属中学2020-2021学年高一上学期期中数学试题(已下线)上海市华东师范大学第二附属中学2020-2021学年高一上学期期末数学试题上海师范大学附属中学2022届高三上学期9月练习数学试题
19-20高一·浙江杭州·期末
9 . 设a为实数,函数
.
(1)若
,求a的取值范围;
(2)设函数
,
,直接写出(不需给出演算步骤)不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6bfce8c92d9d0bacbce9a3d2a456682.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4947853d4744dad462bd1092c54ffb2a.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee0cfceb10b2ff10bf43b56485d67b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80e66c7701486d0e449d582de271fbcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5de89467e97506fbd3f79833900c203.png)
您最近一年使用:0次
19-20高一·浙江杭州·期末
解题方法
10 . 已知函数
.
(1)写出不等式
的解集;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e7247a12f18390a9f9a997cc87ed6fe.png)
(1)写出不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89f5698f41b542aff4bcebbc81ff92b.png)
您最近一年使用:0次