名校
解题方法
1 . “阿托秒”是一种时间的国际单位,“阿托秒”等于
秒,原子核内部作用过程的持续时间可用“阿托秒”表示.《庄子・天下》中提到,“一尺之棰,日取其半,万世不竭”,如果把“一尺之棰”的长度看成1米,按照此法,至少需要经过______ 天才能使剩下“棰”的长度小于光在2“阿托秒”内走过的距离.(参考数据:光速为
米/秒,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4554dce3433acf5ce7fe4c8d3d6e4850.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/805f1572ef236a01de00982c69130bcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/769563348a6488d1db86b5b4c7681644.png)
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名校
解题方法
2 . 已知
且
,若函数
在
上单调递减,则实数a的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6027c04510bd896d5106eab149f31b09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c12b378e1f4d6f437c73a15c3f9f0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-26更新
|
1268次组卷
|
3卷引用:广东省佛山市2024届高三下学期教学质量检测(二)数学试题
名校
解题方法
3 . 已知
,
为奇函数,当
时,
,则集合
可表示为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8028d9cbe27fc6749398cfcb3f91f8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b660ca5820346753d9b1ee2f2ef33a65.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-04-19更新
|
579次组卷
|
3卷引用:广东省梅县东山中学2024届高三下学期第一次模拟考试数学试题
4 . 已知函数
的定义域为
,对任意
都有
,
,且当
时,
.
(1)求
;
(2)已知
,且
,若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f247866d4020ed309d4e4d121ce445.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3e4fa30ce3e0ad3d98f0156abaf714.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060e7930731eddbcfac592b808e9b698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65b5f9887eb121174fc58d928161696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
5 . 设集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51237f43a3ec67108526befe4008cde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f129122d77b0ef9722ac3fcdad1d6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
6 . 已知
,则下列说法一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f2e6bf09ac5f04fa284318bd524950.png)
A.![]() | B.![]() |
C.![]() | D.若![]() ![]() |
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2024-03-25更新
|
125次组卷
|
2卷引用:广东省广州市执信中学2023-2024学年高一下学期3月月考数学试题
名校
解题方法
7 . 已知
是定义在
上的奇函数.
(1)求
的解析式;
(2)若对于
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f5c0fc0739eb35bab60796680057cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/376724b3330327e995c3945586f10172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
8 . 对于定义在区间
上的两个函数
和
,如果对任意的
,均有不等式
成立,则称函数
与
在
上是“友好”的,否则称为“不友好”的.
(1)若
,
,则
与
在区间
上是否“友好”;
(2)现在有两个函数
与
,给定区间
.
①若
与
在区间
上都有意义,求
的取值范围;
②讨论函数
与
与在区间
上是否“友好”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbd8466b576ad34d6ef492599940f4b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23fb90e09994fdc6ab02ed6ba664f31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b593315a098b5310825524dd1834af9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc43e80f74233a226ee4be0da36f566c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca158b11ff270aaa25b3e7a2cbd8e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23fb90e09994fdc6ab02ed6ba664f31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b593315a098b5310825524dd1834af9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da2bd445988f2649ac453bd4eff5fa2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e96bc6f6b7038abd491e38312daa2ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2477a9211001569dccb3cd9f192fdc71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23fb90e09994fdc6ab02ed6ba664f31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b593315a098b5310825524dd1834af9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8004d42bd7116586301f92ba77bb3cde.png)
(2)现在有两个函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0470b33d96ba3f63539fad13000a6688.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19abb56d8cb4f6192ed4a3ee2db3afe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bf9161a241929e71172182c07ae31b.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23fb90e09994fdc6ab02ed6ba664f31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b593315a098b5310825524dd1834af9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bf9161a241929e71172182c07ae31b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23fb90e09994fdc6ab02ed6ba664f31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b593315a098b5310825524dd1834af9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bf9161a241929e71172182c07ae31b.png)
您最近一年使用:0次
名校
解题方法
9 . 已知函数
定义域为
,对任意的
,当
时,有
.若
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e1840471544407d1439f72e67dae23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fd7af568e3d9f444beb0ff41426477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/684bcf84f0a266515bfafde0da903050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6490c79a55466585baf14aa37671e21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098f56f6617620091b970e0999f2fbac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-02更新
|
180次组卷
|
3卷引用:广东省汕头市潮阳一中明光学校2023-2024学年高一下学期4月月考数学试题
名校
解题方法
10 . 已知函数
.
(1)判断函数
的奇偶性;
(2)判断函数
的单调性;
(3)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0215ace0c13f210bf514488d7f3191c.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194d0ecbcf51d08a1ed3178b9463c9fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2024-02-04更新
|
222次组卷
|
3卷引用:广东省湛江第一中学2023-2024学年高一上学期第二次大考数学试题