名校
1 . 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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2 . 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)
您最近一年使用:0次
解题方法
3 . 已知
是定义在
上且不恒为零的函数,对于任意实数
满足
,若
,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/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d6aa5b51b3ff1469ee7a334543b6616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66f16fcb06e100b7194a60852e151b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7558ff6e9d8b18314583dab83805bfb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-12-05更新
|
765次组卷
|
2卷引用:广东省汕头市潮阳区棉城中学2023-2024学年高二上学期数学竞赛试题