名校
1 . 已知函数
和
,函数
.对
,
恒成立,且
;函数
的定义域为
,且
是奇函数,当
时,
.
(1)求b,c的值;
(2)当
时,求函数
的表达式;
(3)当
时,若关于
的方程
有解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa873a75730612a9341d7abe13104bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce26f6327ca86342dd30d94bace2f7f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d028846b8614318fbf90387d13c75b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d1a94ea3c278c2197572cc1b7725b1.png)
(1)求b,c的值;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c14732eb5089f4837b1e1e358639069a.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
2 . 已知偶函数
,奇函数
,若满足
.
(1)当
时,求函数
的最小值;
(2)当
时,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f042c703ec60e843927a18a4384324f.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ec0e56a0e05cf5605e0642a842b6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1736c2110d492999b57af05062e62151.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ad05719025457903d1b5d5c7b99f97f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff3b548f6c0c5cf72d212ae46914bc8.png)
您最近一年使用:0次
名校
解题方法
3 . 已知
为
上的偶函数,当
时,
,对于结论
(1)当
时,
;
(2)方程
根的个数可以为
;
(3)若函数
在区间
上恒为正,则实数
的范围是
;
(4)若
,关于
的方程
有
个不同的实根.
说法正确的序号是___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce427e97019745d570dd2728027fba5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a0748eafe2c69f995fdb032b8afc127.png)
(2)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4724381345ed23396777a9be9466a78a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d68361a0dd9b8debcc9d19558184a5c5.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90f2d98207e6688e7233bb22d5908ab2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccfdd3d02b54e997cbec983d80f6bafd.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17ee5f43412795671704ab0e8d0b2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9b393334bedc719f3474f5afc867042.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
说法正确的序号是
您最近一年使用:0次
4 . 下列说法正确的是( )
A.若函数![]() ![]() |
B.函数![]() ![]() |
C.若函数![]() ![]() ![]() ![]() ![]() |
D.若函数![]() ![]() ![]() |
您最近一年使用:0次
解题方法
5 . 已知偶函数
的定义域为
,当
时,函数
.
(1)当
时,求函数
在区间
上的解析式;
(2)函数
在
上单调递减,在
上单调递增,求m的值;
(3)在(2)的条件下,不等式
在
上有解,求实数a的取值范围.
(注:其中“e”为自然常数,约为2.718281828459045)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3109bc484b2c1aa6733f29bc9b1f5b0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78797f0e7fa4241f96d37187d6e2bcfb.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6edaa3b653eb8dcff38ee956c018ec23.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
(3)在(2)的条件下,不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3130dced0c44cd810133c27fbe1eef0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(注:其中“e”为自然常数,约为2.718281828459045)
您最近一年使用:0次
名校
6 . 给出下列五种说法:
(1)方程
有两解.
(2)若函数
是函数
的反函数,且
,则
.
(3)三棱锥
中,
,
,
,则二面角
的大小为
.
(4)已知函数
为
上的奇函数,当
时,
.若
,则实数
.
(5)若
在定义域
上是减函数,且
,则实数
.
其中正确说法的序号是___________ .
(1)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54b86dc68561ab469c513e0141d53c0.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d018d0b5d1970404a82d6dc0d5e1771c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed8aaba239ea86b3fb0240c746e60c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
(3)三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a94d59dee2d5a8f0425b64b2083825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feecac926fdb10406e0087bbfc6461d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1385c59d0fe2bc62fed70a2d13a5e956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef5768a8d6630375daf58e971fa200c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
(4)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79f4793c5a67e157702ab4cda34bef36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/964642e40e5b625ec06a050bfceb6f21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
(5)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb20979bd3e8af9a9a2773db7e72a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d29d10427f79bb2a53344f2f3c64f59c.png)
其中正确说法的序号是
您最近一年使用:0次