名校
1 . (1)已知
,
,求
的取值范围;
(2)已知a,b是正常数,且
,
,求证:
,指出等号成立的条件;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d9db7dac019e6a5cf09d481a5d28ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d3d11728d0e8637d5c354759f8a3c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbcb79c362bddb898f8a9d02a5f5d085.png)
(2)已知a,b是正常数,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2958030ec9d7543dda1f529593a915e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/439d29be659b489ed96a6d5d84d9b753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29574517e0bd98aa055ee15120f8fff1.png)
您最近一年使用:0次
解题方法
2 .
糖水中含有
糖,若再添加
糖(其中
),生活常识告诉我们:添加的糖完全溶解后,糖水会更甜.根据这个生活常识,你能提炼出一个不等式吗?试给出证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26db2ba1a20483f21f4551ee4f024f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4352384d696d4bea86914323f4561d0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2839495501bff1253bde58c09a3fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae41b4ea7f44a8699f108def4a22ac9.png)
您最近一年使用:0次
2023-10-02更新
|
60次组卷
|
2卷引用:重庆市名校联盟2023-2024学年高一上学期期中联考数学试题
名校
解题方法
3 . 解答下列各题.
(1)已知
,试比较
与
的大小;
(2)设
均为正数,且
,证明:
.
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca24341509c05e672999202f2df0ebaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/444b88d2de0c2e06f5efae2578e3ef8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ef758c8f9983a4dacaaa1eed75ad455.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751e274e9107d780c39ba9c49d6daefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b09fc94ae8293ad1de55d2990502588e.png)
您最近一年使用:0次
名校
解题方法
4 . 已知
,函数
,
.
(1)讨论函数
的单调性;
(2)设
是
的导数.证明:
(i)
在
上单调递增;
(ii)当
时,若
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b89c33bf8803c80b65d4ebd7746645e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6edc9dee4afb8b49ab8a36bdf4d807.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e00e7e519a033c40e7b2a0e0c2beac.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7994bbcf39f4dda34e877b21af71f103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(i)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(ii)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d87dd51a8e24e3134d2d1e5410a856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63d8903f36565e397006d5b767791f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3bf4a061df1b809e76b7b958542d094.png)
您最近一年使用:0次
2021-10-07更新
|
1608次组卷
|
7卷引用:重庆市万州第二高级中学2023届高三上学期2月月考数学试题
5 . (1)已知
,比较
与
的大小.
(2)已知
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1877e5f542281fe362c025d1b26bf46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3f77080e3e42298d09fb2bf199cd7f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6933572874f9bf5d1e2dae8b147fc651.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595e7451cd2e6a5b129517a807262034.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d91e7b0d6ef8db20d01552b1d5469b.png)
您最近一年使用:0次
2020-02-04更新
|
285次组卷
|
2卷引用:重庆市缙云教育联盟2023-2024学年高一上学期12月月考数学试题