名校
解题方法
1 . 设函数
.
(1)解不等式
;
(2)令
的最小值为
,正数
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2790f3349fae2119070e9a512717aa9e.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155834bf3412ebac9896c0cce9e2cb31.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ccb77ba53e986204cd158abb87bcbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4336688b5b9fb6d91400401756cc45e8.png)
您最近一年使用:0次
2024-01-03更新
|
898次组卷
|
11卷引用:河南省郑州市宇华实验学校2024届高三下学期开学摸底考试数学试题
名校
2 . 已知定义在R上的函数
满足
且
,
.
(1)求
的解析式;
(2)设
,若对任意的
,存在
,使得
,求实数m取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8bb398270cd7329daacb2b398b9ced9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89bf799b3583871167114652404c2731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e111595ac59e1fb558b6a465a02829.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51524070a246dbab263a3121e9e51e00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9624a4db0f489d1d75f29314915897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0db7eb2d7545d055f1cb6e8a7b5e1dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174426520dc1b3bbc366bca4deaa664.png)
您最近一年使用:0次
2023-12-10更新
|
304次组卷
|
3卷引用:河南省鹤壁市高中2023-2024学年高一上学期第三次段考数学试题
解题方法
3 . 比较下列两组代数式的大小.
(1)
与
;
(2)
与
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c043cdc50b7b873ba92a09e1ce3bc3b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d7efe2af3376b257fccd2238fe0df0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98d0c8e5ef195aed995d2ec98f81de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec1694d32baecc3624b3ded96f7c1156.png)
您最近一年使用:0次
名校
解题方法
4 . (1)设
,求证:
.
(2)求函数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e20c9127fd4eaaf75d2e0fe1f2fd11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f2b79d8305c4f65240416639587641.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231e0a8b895ab838b04201f28a537ba9.png)
您最近一年使用:0次
名校
解题方法
5 . 已知
.
(1)当
,
时,求使得
的
的取值集合
;
(2)当
时,若对于任意实数
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fd8193bc0e43ba5543961a9b4d9e17.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adb1dc30d4b297c6d5d0d6d91eab1e3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/465e8f9d65fff60e25f34f2315af6f39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-08-06更新
|
149次组卷
|
3卷引用:河南省许平汝部分学校2023届高三下学期4月联考文科数学试题
6 . 已知正实数a,b满足
,设
的最大值为m.
(1)求m的值;
(2)若
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28dd051124c6ea22fcf08dfe70caedf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(1)求m的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7747bdaad0cd09e9da9286ebbfcc2ebc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa85c45667e25a10a5a1c301d3bdc9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afffc0df2a773b7a60e2cc9d5888b0b2.png)
您最近一年使用:0次
2023·全国·模拟预测
名校
解题方法
7 . 已知函数
,关于
的不等式
的解集为
.
(1)求不等式
的解集;
(2)若
,使得
能成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d683ae72dfdc467207e7a420bbca95f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7cf7efd802e1797831baa1091139d7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bfcca699ab5b0d1a744a9a6d4741382.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4b781b577380833bf91d2b2f1169c50.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8645952ea14b25443f411d39bdec641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd1b877467061dc40b84ffa17ef89296.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2023-05-04更新
|
169次组卷
|
3卷引用:河南省许昌市鄢陵县第一高级中学2023届高三下学期高考全真模拟押题数学(文)试题
河南省许昌市鄢陵县第一高级中学2023届高三下学期高考全真模拟押题数学(文)试题华大新高考联盟2023届高三下学期4月教学质量测评文科数学试题(老教材卷)(已下线)华大新高考联盟2023届高三4月教学质量测评理科数学试题
8 . 已知x,y,z为正数,证明:
(1)若
,则
;
(2)若
,则
.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f0ce87e151aa5663527dbdd7d27477d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16be74781075be6aa972a06a5926cdda.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f76b24b4dacca159e8806e936fb58171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75af50130fe2d460ab7734716f8b2b30.png)
您最近一年使用:0次
解题方法
9 . 已知函数
.
(1)若
,
的最大值为4,求
的解集;
(2)若
时,
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb5b529d58b51f5d8bcf5538221cf85b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0abe4960954bb3144b7e86d4233e747.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5efe66db991b562c73ffb16c1e585870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/173f99d0a0cf852179fe8cf28d7c5332.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
.
(1)解不等式
;
(2)若
在
上恒成立,求实数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70adeef113c5c01380a4cd25491c33f.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe9fef15d960040b283249030255e5a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dac27aff729ec1064f0b5bf84f39f845.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2372f424431ce7b547a66b7d61d75421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-04-06更新
|
681次组卷
|
8卷引用:河南省郑州市等2地2023届高三下学期3月冲刺(一)文科数学试题