名校
解题方法
1 . 已知函数
.
(1)求证:
图象关于点
中心对称;
(2)定义
,其中
且
,求
;
(3)对于(2)中的
,求证:对于任意
都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f68d88bf18b3b3bc1475150f8fabe6b.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a982c17d1a94a9bd81dc27cad133b74.png)
(2)定义
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb1b29edc0fb58b7aec23626772e10a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)对于(2)中的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66935709952aed2b35167ff9470596b.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
,则函数
的最大值与最小值的差是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8431f299607b69ce0e0d5ac9a0a07da1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
名校
解题方法
3 . 设
,
满足约束条件
,向量
,
,且
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/339b33ab1d681cd11585abd0f517f554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bbca75503e52c5fbfff8e855df4f06c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6f99645c5aa5800b219c4d9f0baebcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd79264e130de60a100b001b5d45585c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.6 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-01-05更新
|
172次组卷
|
2卷引用:辽宁省沈阳市东北育才学校2015-2016学年高三上学期第三次模拟数学试题(理科)
名校
解题方法
4 . 在平面直角坐标系
中,过定点
的直线
与曲线
交于点
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355dffb42861f3e297694f4be77c694c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd79f9ce971245001d5b617356e6f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4931d5f9d608644319480480552648b.png)
A.2 | B.![]() | C.4 | D.![]() |
您最近一年使用:0次
名校
5 . 已知函数
,
(1)若
,
为偶函数,求a,b,c的值;
(2)若对任意实数x,不等式
恒成立,求
的取值范围;
(3)当
时,对任意
,
,恒有
,求实数b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edaf5cc433b72a9552b464c1a93a191b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96331bd2bd034e6689f951b9416ceedb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/548636534994cd465dfc7bf7dd41505b.png)
(2)若对任意实数x,不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/831b795b68ce2f7637c5138cbf983923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eaf5dc6cb26e49f0ab9a7f610ee87ec.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff565afbddafe8625ef376d7eb3fa649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/608f663c358464a380cb503e362c2a2b.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数
在
上为增函数.且
,
.
(1)求
的值;
(2)若
在
函数是单调函数,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a46f5443b120789703d3092f52b78a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3744ee15af01a8e7c0f126edb5f68132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/863ce8ed526a79d4da489c45c664f28d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/138472ac217ce3f838b18ce39b39b869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
您最近一年使用:0次
名校
7 . 若
,
,那么使
的x的值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd36bd42567167194932e323d9a33b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c4473159277aed64ea96c4af087954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0f0a66ae8b238626892f70355a5232c.png)
您最近一年使用:0次
名校
解题方法
8 . 设
是函数
的两个极值点,且
,则实数b的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b500e080a559adc59c1873a3f738d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f96dcf2665d9ab63c91b46636899e47.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
9 . 有下列命题:
①在函数
的图象中,相邻两个对称中心的距离为
;
②函数
的图象关于点
对称;
③“
且
”是“
”的必要不充分条件;
④已知命题p:对任意的
,都有
,则
是:存在
,使得
;
⑤在△ABC中,若
,
,则角C等于30°或150°.
其中所有真命题的个数是( )
①在函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e920e45bf707293cd71cd87ba9f25ee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df6efe4dcec921254aaf23bd08b1a59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
③“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b43f0f4dccb727c6a655ff483f5f843d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ec66b3436594131a07fee9e3fea6d9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96bc2eeaca8a8ce4bcce2bff011a11bf.png)
④已知命题p:对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05611fbe265ef9e3d4a8b1821bcbc1eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63e67e1423322138cfc68c5c85a6215d.png)
⑤在△ABC中,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96bc4681e95774e835cf309eb822d5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab4b62df4c61610ad23d5f504950383.png)
其中所有真命题的个数是( )
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次