名校
1 . 已知函数
,且
时,
,则
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53ffcdd391beac3f6edb01295dfcb170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b73abfe4bc26b1ded680d7abb1a2cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6637110325fc5bcb6337762aecf53d4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d2d7ddd7ef3b6cde30018bc6a84b9e0.png)
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2 . 设函数
(ω>0)的最小正周期为T,且
(
).若
为
的零点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c66216477c2ebdbbcf5f7cf70405619d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ff2f41753739483a06e53e8e9b9bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd7214b1e64a172462a283961c326c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
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3 . 已知函数
,不等式
的解集为
.
(1)求实数a,b的值;
(2)函数
满足条件:①是偶函数;②
时,
.已知函数
有四个零点,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63aaa178677e179fd17fb87877ccb38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be1d8c6384d7fabddb693b2b7fcdf4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ff45f2626ddd4754c814c7c1f6685b.png)
(1)求实数a,b的值;
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2401f1358466ad761052b98564ae5873.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59ef383eb9ff64c0315e9e119046296b.png)
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解题方法
4 . 已知函数
,函数
的一个零点为a,
的一个零点为b,则以下说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa5bfe9f9c88e86e1739b97da9a9829b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be87998faa583333a1a0aa987567f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cccdc07845d9b197e6b265f10fcb06d5.png)
A.![]() ![]() ![]() |
B.![]() |
C.![]() |
D.![]() |
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5 . 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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解题方法
6 . 定义:如果函数
在区间
上存在
满足
,则
称为函数
在区间
上的一个均值点.已知
在
上存在均值点,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee49cd415b686374189f90102d23ef7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e7c63ce0b2b86b4706c1f853b0e5e8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b532ab136f12f34e4e76ccef19c6919.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
7 . 若方程
在区间
上有实数根,则实数
的取值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5db3bbb092ce64d1092c284ddd01a367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd243fab0af865af67a2ab817e909cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.0 | B.![]() | C.![]() | D.![]() |
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8 . 在用二分法求方程
的正实数跟的近似解(精确度
)时,若我们选取初始区间是
,为达到精确度要求至少需要计算的次数是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b40b5bd7473999e426415ab37659273a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/042e234d538bc2c789d7c5a314f1ca92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f18a2c66ac4517c8f5f91de632a054de.png)
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9 . 已知定义在区间
上的函数
,若存在
时,
成立,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dccf1f9faac56117d6d3dd1dddd286d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e14dc4ff066799a32c81b53dce70c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab516094f03e6f6f194b783b8a2ebe59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6e17ca3557ea42ffe76cb7b3b7dd04d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
10 . 已知函数
,若函数
与函数
的零点相同,则
的取值可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0be340e9d80b212b03debec931515cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276b142a9d9f0a87425a668dd6501f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ec08be6e5edde3502faba89bb505e0.png)
A.2 | B.![]() | C.0 | D.4 |
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