1 . 已知函数
且
.
(1)求实数a的值;
(2)若函数
在
上恰有两个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd535030ec92efe0b1a86a33b7306aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/008925a3b60d366297f31efa54aa38c9.png)
(1)求实数a的值;
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5b9f57d3634f8337f1414f8a2a2dc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2 . 已知实数
满足:
,则下列不等式中可能成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a14c388e1e2e5a2ff1ccf6caffbee0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc2d2b344f9cf9bb1b8704ca1066011.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
3 . 定义在
上的函数
同时满足①
;②当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8b0fb65269050e0d6090b091780147a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366839b25310cb3168d411b1d5f73b06.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
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4 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc74eba28e7f0f87f2fee35ff0719619.png)
A.![]() ![]() ![]() | B.![]() |
C.![]() | D.![]() ![]() |
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5 . 若
,且
与
存在且唯一,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01abd30f678efbd01045fd39e26083ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b1d69f1959ee319ad0f189afce34613.png)
A.2 | B.4 | C.![]() | D.![]() |
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6 . 二次函数
满足
,且
.
(1)求
的解析式;
(2)若
时,
的图象恒在
图象的上方,试确定实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c42b6975b22e99c0148e6952d174ebba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17ee5f43412795671704ab0e8d0b2f5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070f2ee5e48cce77eb4a2cb9f11ccfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40a0ac4bfe4ded00b4400f913e0c9862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-06-14更新
|
659次组卷
|
3卷引用:福建省龙岩市上杭县第一中学2024年6月普通高中学业水平合格性考试数学模拟卷
名校
解题方法
7 . 已知函数
,如图,A,B,C是曲线
与坐标轴的三个交点,直线BC交曲线
于点M,若直线AM,BM的斜率分别为
,3,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/775ab56f2a5677b433c01e766bb2bbba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9a0a8d1c24cbbeb4428b00a919801f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
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8 . 命题“
,满足不等式
”是假命题,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2cd15d9a85f61cf07ac4a441adbb372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/902ba00abbde7487cbb44c3bc6ec5897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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9 . 若全集
,集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f05f39f97051666d99be26993106ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e651f46b63baef2a317231b364f6c34.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-11更新
|
906次组卷
|
2卷引用:福建省厦门市厦门外国语学校2024届高三下学期模拟考试数学试题
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10 . 当药品
注射到人体内,它在血液中的残余量会以每小时
的速度减少,另一种药物
注射到人体内,它在血液中的残余量会以每小时
的速度减少.现同时给两位患者分别注射
药品A和
药品B,当两位患者体内药品的残余量恰好相等时,所经过的时间约为( )(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267c88e52743f3dedd4e60569cb958fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28555fa2f3a09261cb4e0305d390145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc2baea0d7b4cae52246ff279a41e460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/618c8bb0c6e025b11eeb7da738183d1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc146f4d7196cfb8fe3cd04575f5dcee.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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