解题方法
1 . 已知幂函数
(
)为偶函数,且在
上单调递减.
(1)求
和
的值;
(2)求满足
的实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559d00201d277325ec1bda73a757f237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd2c3166d0bfd9e64bdc85081445e95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)求满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32701e66e47ee38a59363479eaa8aa5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 函数
的图象恒过
,则
_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e0ed19e40727ee20738f65c671be230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/430b9c003e6f16136fd9ef43654b2b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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3 . 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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名校
解题方法
4 . 已知函数
,
.
(1)设
.若
恰有两个零点
、
,且
.判断函数
的奇偶性(只需给出结论,不需写证明过程),并求实数
的值;
(2)若
,
,
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c1435ac112f1a98c40725d361d20b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd055fc5fdc69045fd6d4bca7c37eab3.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1298b16851618bb8884791817a78d0a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ab0fdded94776c7e330d6c21ab4860a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9159bc3e165a4f2ee9d67f8f5180e7bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544f91d4fb22c571db9f8481b72a0419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35eac3ba2858adffcd1f8052cd795269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea7936ad4048b3fc87a81d5469ec33e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61649f88b8cbbb573713ff3fe3097d0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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名校
5 . 若幂函数
为偶函数,则不等式
的解集为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fafa1bda14b0be9ae7870af7f7c9678a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302dc565d726cb85d3e21737815eaf9a.png)
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6 . 计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b4c551a3159ae96a336bee05d64bc26.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b4c551a3159ae96a336bee05d64bc26.png)
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名校
7 . 青少年视力是社会普遍关注的问题,视力情况可借助视力表测量.通常用五分记录法和小数记录法记录视力数据,五分记录法的数据L和小数记录法的数据V满足关系式:
.已知五分记录法的评判范围为
,设
,则五分记录法中最大值对应的小数记录法数据为最小值对应的小数记录法数据的倍数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0464831f85252987e7aebc7e2adb70f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3f2c1c199ba7e026ff750c6f6f007d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9b5efccbdb314ac61f62b58494c8d71.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 已知函数
满足:对
,都有
,且当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b0337b2d14c529ae61d4fd9a975459.png)
函数
.
(1)求实数
的值,并写出函数
在区间
的零点
无需证明
;
(2)函数
,
,是否存在实数
,使得
恒成立?若存在,求出
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4c68e603ad17bf72634d2cc6d785ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20111317cfd9de576cb594063b92acb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b0337b2d14c529ae61d4fd9a975459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804c08d1b45ecee648f2f745884c0874.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b7c2420c387be8882df4359ac10b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/788273681f22dd4f097e90c5de1821e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5cee84381134d1937627d7b4eff6308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de535172010550ecee49cfcbfd752897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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9 . 已知函数
,
,
的零点分别为
,
,
,下列各式正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422208edf11395afe6ab7e790152a449.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90bcec2dfdc578161b703704738a020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4578c93a991f219bf3418053ba6ea3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
10 . 已知函数
的定义域为
,且
为奇函数,
为偶函数,则
( )
![](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/47fbac3b7ff88fd9cd5286780fea2eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5215a578933ba72022450a6d3a37d14.png)
A.![]() | B.![]() | C.0 | D.1 |
您最近一年使用:0次
2024-02-20更新
|
1568次组卷
|
6卷引用:湖北省襄阳市优质高中2023-2024学年高三上学期2月联考数学试卷
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