1 . 若函数
的图象如图所示,则![](https://img.xkw.com/dksih/QBM/2016/9/20/1573032756609024/1573032762695680/STEM/cac95a5d7b0c4dfb921f7063e70228f0.png)
![](https://img.xkw.com/dksih/QBM/2016/9/20/1573032756609024/1573032762695680/STEM/3d9ebeddf8b04dd5a307522c029c9adc.png)
![](https://img.xkw.com/dksih/QBM/2016/9/20/1573032756609024/1573032762695680/STEM/feccbd1a361a4bd488ef4fe5068b8af6.png)
![](https://img.xkw.com/dksih/QBM/2016/9/20/1573032756609024/1573032762695680/STEM/cac95a5d7b0c4dfb921f7063e70228f0.png)
![](https://img.xkw.com/dksih/QBM/2016/9/20/1573032756609024/1573032762695680/STEM/3d9ebeddf8b04dd5a307522c029c9adc.png)
A.1:6:5:(-8) | B.1:6:5:8 |
C.1:(-6):5:8 | D.1:(-6):5:(-8) |
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2 . 已知
,又![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8395f8c02a5413a44b7b356f41e43d.png)
若满足
的
有四个,则
的取值范围为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9301a7d32fd1917ac8cb32895bdd66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8395f8c02a5413a44b7b356f41e43d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32bcdbf95bfa155cfab5dce94b93a53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b6140fdb9d923622e9ba7baa89b4659.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 已知函数
与
有两个公共点,则在下列函数中满足条件的周期最大的![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f46a13297035069791fec890b2d7f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9929f04f7b0a3ec7c75696bad4b3aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f49a62dd744bd53ca9834bcf9031974c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f46a13297035069791fec890b2d7f7b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
4 . 已知函数
,其中常数
,给出下列结论:
①
是
上的奇函数;
②当
时,
对任意
恒成立;
③
的图象关于
和
对称;
④若对
,使得
,则
.
其中正确的结论是 .(请填上你认为所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adfd579156ea56dc4743b809905595b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f184ef9e0d57554e95f369c9d4bbfea1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f34bf6a7c199398b56f4c0c815887e70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b53b86bd516400d6fa7dabb3603f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/853e3c15d116fb61f236ab239c50b114.png)
④若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fea0536108cb4d2742733d8c2240f8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13ca0f27aa97d8d1bec1f6879f460d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56ef1897286981c82d9f787d30221d3f.png)
其中正确的结论是 .(请填上你认为所有正确结论的序号)
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5 . 现定义一种运算“
”:对任意实数a,b,
.设
,若函数
的图象与x轴恰有三个公共点,则实数k的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c447aae1476a22a49a145a9215863970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e1ada827b9b83d2594321973da8d32a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba6fbbaf0854386927c3765d254ffe2.png)
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6 . 已知函数
的图象如图所示,则
的解析式可能是
![](https://img.xkw.com/dksih/QBM/2016/2/17/1572485940428800/1572485946368000/STEM/25bb52fa-07ec-477b-a4f6-c47cf69d4354.png?resizew=108)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://img.xkw.com/dksih/QBM/2016/2/17/1572485940428800/1572485946368000/STEM/25bb52fa-07ec-477b-a4f6-c47cf69d4354.png?resizew=108)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 已知函数
.
(1)请写出函数
在每段区间上的解析式,并在图上的直角坐标系中作出函数
的图象;
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/6/0d7f9b8a-17ee-4b7d-b24d-180faa6f1833.png?resizew=344)
(2)若不等式
对任意的实数
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02bebe66976d1fb716f20a3e634dbb50.png)
(1)请写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/6/0d7f9b8a-17ee-4b7d-b24d-180faa6f1833.png?resizew=344)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a258fed0d4049c523257046afa34c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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8 . 已知命题
:函数
恒过定点
:命题
:若函数
为偶函数,则
的图象关于直线
对称.下列命题为真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/409e43201d7ede3002f3ba94aa348825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e356a6e54a669fda721085096c8416db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
9 . 函数f(x)=ax3+bx2+cx+d的部分数值如下表:
则函数y=lgf(x)的定义域为__________ .
x | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 | 5 |
f(x) | -80 | -24 | 0 | 4 | 0 | 0 | 16 | 60 | 144 |
则函数y=lgf(x)的定义域为
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10 . 已知函数
的图象上关于
轴对称的点至少有3对,则实数
的取值范围是
![](https://img.xkw.com/dksih/QBM/2014/11/14/1571895064977408/1571895070597120/STEM/83e1996b62e2475198e033e9198a9461.png)
![](https://img.xkw.com/dksih/QBM/2014/11/14/1571895064977408/1571895070597120/STEM/bab435b086a24f14b0dee430b00a2498.png)
![](https://img.xkw.com/dksih/QBM/2014/11/14/1571895064977408/1571895070597120/STEM/60478724127b4f5bb7ddd198e1a84251.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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