名校
解题方法
1 . 已知函数
,实数
满足
.
(1)解不等式
;
(2)证明:对任意实数
,使
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41704e782a18e4fc47cda11f4df5c4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6fae71c162e7be027a9b30a9187813.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a075dce77c9a6b964a8a3fc1ee6e8c.png)
(2)证明:对任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a246b114e01128ed13a7d0798775d205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd2fa1502128fd34965a4a370f1eaed4.png)
您最近一年使用:0次
2 . 已知函数
.
(1)当
时,解不等式
;
(2)若
,且函数
的最小值为5,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4715741fb928a604a95d692061a60bb.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d55126d3db5710b3b8a6293157261a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/253a485de0d7cf96458810db8d5affe6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b431c226d36493acba8ea2d28e9bfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b626488a86a56e8d203f0bee60af7829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c14cdaa17fe248c74096dcc8011f2d6.png)
您最近一年使用:0次
解题方法
3 . 已知当
时,
恒成立.
(1)求
的取值范围;
(2)若
,
的最大值为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7d2bb9fd6de312a742ef10c81b9b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0dee6fb41faf4f57c65b1f21cfab4e6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0102c694f0d246336867e2fe17116909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b4027dd0f9df0c731684674b4c164c.png)
您最近一年使用:0次
4 . 已知函数
.
(1)求不等式
的解集;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4377b74a06f80d17673c4c94b986a0d9.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a97b66e348ff02fc9e7f610d7dfeda5e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa0080582f5b3a296d7d52aa2a7786c9.png)
您最近一年使用:0次
2024-04-08更新
|
211次组卷
|
2卷引用:陕西省2024届高三下学期教学质量检测(二)文科数学试题
5 . 已知函数
的最小值是
.
(1)求
的值;
(2)若
,
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b789698caa1f6e6dec19e346529eaff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.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/ab04de6651256f6281e9f4c1dc3c7955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/054d00a127a585f7401a05d5351c6e37.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数
.
(1)求不等式
的解集;
(2)记
的最小值为m,若a,b,c为正数且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c3632cb507af8d2010dde41ec950767.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76693f7ef9a4dca9c649153b6d7196e4.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751e274e9107d780c39ba9c49d6daefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d50520696755ed3e505c0feff29d0a6.png)
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7日内更新
|
62次组卷
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2卷引用:陕西省西安市第一中学2023-2024学年高三下学期高考考前模拟考试理科数学试题
名校
7 . 已知函数
.
(1)求
的最小值;
(2)若
的最小值为
,正实数a,b,c满足
,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c35e5c2939fb6320230190d5dc472120.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](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/edbab9eb75db03784bd3b20a4226884b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218f1a94f2cfd0871fda90b064a2c9d9.png)
您最近一年使用:0次
2024-04-12更新
|
179次组卷
|
4卷引用:陕西省安康市汉滨区2024届高三下学期高考模拟(五)文科数学试题
名校
解题方法
8 . 已知
,当
时,不等式
成立.
(1)求
的最大值;
(2)设正数
,
的和恰好等于
的最大值,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18822a123bc80412508a309ef5dd7159.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914c67ddd60c47e91783929c8bdf8ba8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)设正数
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16195724ab65f5ed0f378a14051ff5bd.png)
您最近一年使用:0次
2024·全国·模拟预测
名校
解题方法
9 . 已知
,函数
,不等式
的解集为
或
.
(1)求实数
的值;
(2)若
的最小值为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fed98a219097783e0ca2f41483cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00445f69344c65acd30662446343297c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a075dce77c9a6b964a8a3fc1ee6e8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65cead3e7a91b7ae1208ff8c2e8fb25e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac3e627026a67df982843808f5115d2.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2acabbc9490112007469d5667888a277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca3bc6ecc672160867b0ec69c28de42c.png)
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2024-01-05更新
|
310次组卷
|
4卷引用:陕西省西安中学2024届高三模拟考试(一)数学(理科)试题
陕西省西安中学2024届高三模拟考试(一)数学(理科)试题(已下线)2024年普通高等学校招生全国统一考试数学文科预测卷(九)(已下线)2024年普通高等学校招生全国统一考试数学理科预测卷(九)宁夏吴忠市2024届高三下学期高考模拟联考试卷(二)理科数学试题
名校
10 . 不等式选讲已知
均为正实数,函数
的最小值为4.
(1)求证:
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b672e8a04f5268d6ee86de3886e8d3c.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba4c21842a00f9ce8af7256897e687d.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7aee02a9aae9adfb51e4f3f1c1b52eb.png)
您最近一年使用:0次
2024-02-25更新
|
392次组卷
|
4卷引用:陕西省西安市铁一中学2023-2024学年高三下学期第四次模考理科数学试题