名校
解题方法
1 . 已知f(x)是定义在R上的奇函数,
且对任意
均有
则 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9eacff7f456194640de6801dc94799a.png)
_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a2ffb7236b18cec72e965944a2ed75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6f37ea158078072f8bd7771119d077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa07570d61c2b610b8e5bbf93d944047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9eacff7f456194640de6801dc94799a.png)
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名校
解题方法
2 . 已知定义在R上的函数
满足
,
,
,且当
时,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e264b11a47db447a7a0a19f2c3b8900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb00fdf681e3ea2f61abbe7b33a639a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87efe223ba836313af9b050966352fd4.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
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2024-04-11更新
|
435次组卷
|
4卷引用:2022年浙江省温州市摇篮杯高一数学竞赛试题
名校
3 . 已知函数
,其中
.
(1)判断
的奇偶性(直接写出结论,不必说明理由);
(2)当
时,比较
与
的大小;
(3)若函数
有三个零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27cfd4498a1cc658b943061497345f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e23b3e7a3bae640c314bc9347ff67f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/123d2a9d1c04f94c4219ad15f6d6fdd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
4 . 已知函数
若
,且
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daeb462fc3e5427f9687bff7142323d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e45e961dd36b8f85703c91f248da3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec0e2a7f260009c1444c8c9e5f494837.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
5 . 已知
则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de458d9daeae3e48a9916fefb834037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/992922f2f0ab9f07b7ccdcb91aa3e691.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-24更新
|
172次组卷
|
3卷引用:第六届高一试题(初赛)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
名校
6 . 若函数
,则对于满足
的任意实数
,有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc092a02fca5a3719f4a4c40308fe21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a633afe66a40f866029ceeae39f353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 设a,b为正整数,且
是函数
的一个零点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92682840e2a230de346562b2032f8adb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d0ac5e4a6ef4f217b2ffb08aea29489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579a761c1d6caec68e40f196a9ce633e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92682840e2a230de346562b2032f8adb.png)
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名校
解题方法
8 .
,且
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238182ab55a63ea62b42ec61d5ac9bb5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fca62e37fc045990208dc68bcc7ee690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1377f2a513fc287a4a3d6ca384b4f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238182ab55a63ea62b42ec61d5ac9bb5.png)
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解题方法
9 . 请写出满足以下两个条件的一个函数:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
__________ .①
,都有
;②
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3881fa7fc347ccb2d46de69dc041907d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa10bae6ce6e91bf99c580d102947b46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/654142e48615cd3b9af111a8020ffbd0.png)
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10 . 设
是定义在
上的偶函数,对任意
,都有
,且当
时,
,若在区间
内关于
的方程
恰有3个不同的实数根,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3170408d3830e3eecd4fc0ecf5aaffb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54297d09c19f29d92463d21928998266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a243bea3f4299af8c894dc19ad878f6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c875f29cf3499a0f38f8c5219eb074ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75c566c93f5e6b37dea153a07422be4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-19更新
|
226次组卷
|
2卷引用:海南省海南中学2022-2023学年衍林杯学科竞赛高一下学期数学一试试题