1 . 已知函数
对任意的x,
都有
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71599cd707909eb30d2a54be7f8c966.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cccdff49c3efe6e7a7dbbf69db9319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcef60e5d4f3b49a3c6e2507e8998439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71599cd707909eb30d2a54be7f8c966.png)
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2 . 如果函数
满足
,
且
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8338331b1eb33d0a1bb9ecc740f28912.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9512bb57be58befcf9ce40780bc993d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9da4fdfdddc259dcef9fdd4b826b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8338331b1eb33d0a1bb9ecc740f28912.png)
您最近一年使用:0次
3 . 定义在R上的函数
的值域为
,则函数
的值域为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2865a53c7130ba6a165c67efa5f33a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21128d369c99738b797218abe76f70b8.png)
您最近一年使用:0次
4 . 已知
,
,且
,则满足条件的集合
的个数为______ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f7fd721c2d24ea5e562d8b8cc9cd4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4b0f19b2b9c3759aa2983b1180b781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad8a5de95ee683ed5af7d57234539841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c4a9f22d9ac64f7c69a8e4777e1fc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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5 . 已知
,若函数
,其中
是
的小数点后的第
位数字,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c519833e0de1763e982b430d35bfd3.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ae4eb9e8b1b743bd38893ea7e2c30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734d891c452cfc0c257fc5b2b10bb765.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/035852e1ed3477bda79da181b92a13c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e62f5fa80dc25634facc21a37eac034.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c519833e0de1763e982b430d35bfd3.png)
您最近一年使用:0次
6 . 在不考虑空气阻力的条件下,火箭的最大速度和燃料的质量
、火箭(除燃料外)的质量
的函数关系是
,要使火箭的最大速度可达
,则燃料质量与火箭质量的比值是
您最近一年使用:0次
7 . 已知,则
的大小关系是
您最近一年使用:0次
名校
解题方法
8 . 已知
,
分别是方程
和
的根,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ce62cb82012f3746fe0ca1280bcb0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddb50d819aba08326c4b91f5085d86a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
您最近一年使用:0次
名校
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)
您最近一年使用:0次
10 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4753f4a4456d0df13843b71015bfa14.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282abea3737e9f30c612f5ac0b78b600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4753f4a4456d0df13843b71015bfa14.png)
您最近一年使用:0次
2024-03-20更新
|
376次组卷
|
3卷引用:贵州省贵阳市北京师范大学贵阳附属中学2023-2024学年高一下学期3月第一届“圆周率”杯竞赛数学试题