名校
解题方法
1 . 已知
、
是定义在
上的函数,且
在
上是严格增函数,设
满足
,且对于
中的任意两个相异的实数
、
,恒有
.
(1)求证:
在
上是严格增函数;
(2)设
,
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bffc9c4bf9de4d804885955aff039ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/548636534994cd465dfc7bf7dd41505b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bffc9c4bf9de4d804885955aff039ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a301678a22fd9ebedb6c142a5a73bb4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2407042c0e07f46e7f0cc703aa37e2d8.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43fb7af688c7d890a2221ab00eee4e54.png)
![](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/a2408a1f2c35f6277efa4f8e58e93fc0.png)
您最近一年使用:0次
2 . 记集合
.
(1)若
,求证:
;
(2)设集合
且
,若
,
,求
的取值范围;
(3)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8edb4a35ee8fc18d21348b26bbbefd2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e96f3ea0467dc6393d7c4b602175a394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119c67d2cd0e136ac325abae7cadda16.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39fb84c074fea379fbb972a6b1608fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e5738a64c9562be3585ecde74732dd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9230efa8ff1efbcc68807463b2e3667f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65493f5dd32e0903c633210cc05b1825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a015906d7d42da6b86a454d056b72bf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d759b1ec7f4fa266275c32eb1398c26.png)
您最近一年使用:0次