1 . 已知函数
满足
,函数
.
(1)求函数
的解析式;
(2)若不等式
在
上恒成立,求实数
的取值范围;
(3)若关于
的方程
有四个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d45717d939afd817d3378ef356d29aa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab409bb25958c2f01c73e26042c6f51e.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a9ee90f86f252dd48868d94f4c564a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f1279d1afe86edd9a61fde66cbec01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/025efb915cc19078215ecbd4776b7f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2 . 已知函数
,方程
有六个不相等实根,则实数b的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edda531bc7c89db0fb12a287693f2dba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22680c9b6661cf08683eaad8d59d412.png)
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名校
3 . 已知函数
有3个不同的零点
,且
.
(1)求实数
的取值范围;
(2)若存在
,使不等式
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/858a730ebeabd511374d81324b0e49b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5db1ee2fbe9bcc2654ce9482b5a39a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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4 . 已知函数
.
(1)若
,且
图象关于
对称,求实数
的值;
(2)若
,
(i)方程
恰有一个实根,求实数
的取值范围;
(ii)设
,若对任意
,当
时,满足
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb49512c66fdf46280daa506f5458004.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be033199f77a8822a8514eafab5162d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86f59eb2942c435d69c1e48c2c61c111.png)
(i)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e735656890d668f67f1538fe702b366a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(ii)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc373640d8d66865998853b3c3f7be5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71530343bd5d7121c2e77b10aff7bd50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57318f5659bc916624d975b7146e8a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a88a1d706f453ebe641928d539a55a7b.png)
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a88a1d706f453ebe641928d539a55a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d75d042a2fd6581382fef773402bd78.png)
A.![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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6 . 记
表示不超过x的最大整数,例如
,
.已知函数
,若函数
恰有2个零点,则实数a的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0582aa1aa68e686d214659b220d2f3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a090ab1d3413d618f80e175c28d0b04f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e47b26eb3415753b4fcb356efc31826c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fc4c82dfc61859116cecdbcf7a48531.png)
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7 . 已知函数
,若关于
的方程
有4个不同的实根,则实数
可能的取值有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21570cc07a56ee1a746cd6c665b46ff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4bd445a7a1553c28a5cc9130b226fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知函数
,若关于x的方程
有四个不同的根,它们从小到大依次记为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470d0556c2f5c376984e734e4b14d960.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ff8ead4cdab0a4d459eee136739d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
A.![]() | B.![]() |
C.![]() | D.函数![]() |
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9 . 设
,函数
,当
时,
的值域是______ ;若
恰有一个零点,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f306d2b261f4c39a9fc0858d96e647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93955c5a47d255c0990f336a5fc2779b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239ea0e903fbb4c8ce04133b9969578c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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10 . 已知函数
,且
,若函数
有三个不同的零点,则实数
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e2588d79c793fc8a568fb3f08fcf4d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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