名校
解题方法
1 . 2024年5月26日,安徽省滁河污染事件引发社会广泛关注.为了贯彻落实《中共中央国务院关于深入打好污染防治攻坚战的意见》,某造纸企业的污染治理科研小组积极探索改良工艺,使排放的污水中含有的污染物数量逐渐减少.已知改良工艺前所排放废水中含有的污染物数量为
,首次改良工艺后排放的废水中含有的污染物数量为
,第n次改良工艺后排放的废水中含有的污染物数量
满足函数模型
,其中
为改良工艺前所排放的废水中含有的污染物数量,
为首次改良工艺后所排放的废水中含有的污染物数量,n为改良工艺的次数,假设废水中含有的污染物数量不超过
时符合废水排放标准,若该企业排放的废水符合排放标准,则改良工艺的次数最少要( )(参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f141c367f054097763f57c9517dfe164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881c4391a62c0727bbe4a1b0dcc14fb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a135cb036833400f3fa1edc92d5ce410.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/630e35f03b98780dd6d425bb26593d42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2833ddbe58a6f4e7585c69c698f0d2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2858005b9ae89ae080d83dcc13cf8e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e62e8320eb491bb18ad7fc3075f009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f4d8318aba2dd01bfdc4c6b77c6121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab1cb23df1e01a5120207dbfb4ae6c9.png)
A.14次 | B.15次 | C.16次 | D.17次 |
您最近一年使用:0次
解题方法
2 . 已知
是定义域为
的偶函数,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5215a578933ba72022450a6d3a37d14.png)
_____________ .
![](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/f6413b1c6404c92b9b900368e824336d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5215a578933ba72022450a6d3a37d14.png)
您最近一年使用:0次
3 . 大西洋鲑鱼每年都要逆游而上,游回产地产卵. 研究鲑鱼的科学家发现鲑鱼的游速
(单位:
)可以表示为
,其中
表示鲑鱼的耗氧量的单位数.若一条鲑鱼游速为
时耗氧量的单位数为
,则游速为
的鲑鱼耗氧量是静止状态下鲑鱼耗氧量的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc13a607ac0c7f76d252d7cb1bb040fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53afeaf21f93091b71608d21540be239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428da355072550b119bd545caa6d163f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ecd75424b351d8ecf2a311c525c77ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc1f904b0759e0ac09358032008ddd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6196cf17c17eb7b94ef4b963942a0680.png)
A.3倍 | B.6倍 | C.9倍 | D.12倍 |
您最近一年使用:0次
4 . 已知集合
,
,则下列结论不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e301a893b4e5f9ed35fd913db9c32c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d381490baa0956cf2bdd3b21a2a43397.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
5 . 已知集合
,对于
,
,定义
与
之间的距离为
.
(1)已知
,写出所有的
,使得
;
(2)已知
,若
,并且
,求
的最大值;
(3)设集合
中有
个元素,若
中任意两个元素间的距离的最小值为
,求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a1ddf7f51f115fa436aadb2de92b3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e6a5b4c75edf2ee68f935b2e3fe12d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec1a7c3713945abc4eca8485945abf32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ab4a9bfa50054c808dd8190305d0abd.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e25cf1d30f458593f08325f85f6e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42c72cbaca91d8e578762c4f0b6750a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4aaf68eac26dd95e0eb726913dfc17b.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/003fbb029cdb6d5d7f93e29dca371f7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e77ba8c90d21237670483bbcd8ac63b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c332b53365518c5cf5361bf3cacd47b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4a2681390214200443ae07c01a4abe.png)
(3)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11feb79d33ca429733a82c5d88393ba1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1071ac8657ef1c4e1ea7e0530196298d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9d528f49ab8d7fd971c5bb8fa7f24d4.png)
您最近一年使用:0次
名校
解题方法
6 . 已知幂函数
的图象经过点
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f21c7162941d2b54ebafb1795599195.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05f18ad3430fe65f7183e13bb428e655.png)
A.![]() | B.1 | C.2 | D.3 |
您最近一年使用:0次
名校
解题方法
7 . 函数
(
且
)的图象恒过定点A,且点A在幂函数
的图象上,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e1639cae66369e0af934df22432b802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
您最近一年使用:0次
解题方法
8 . 高斯是德国著名的数学家,近代数学奠基者之一,享有“数学王子”的称号.设
,用
表示不超过
的最大整数,
也被称为“高斯函数”,例如:
.已知函数
,下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ab85825d4a002600ca41bd3cd2ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e3204e4dc47a448860779349efcedf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b9a8ee9901e17cefb3e04d6eb1588a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c14dfabfd0f9af080e0203a9fb50f8d9.png)
A.![]() |
B.![]() ![]() ![]() |
C.![]() ![]() |
D.![]() |
您最近一年使用:0次
9 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e38bb389f8bf1cdbf339165e49b33c9.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e38bb389f8bf1cdbf339165e49b33c9.png)
您最近一年使用:0次
解题方法
10 . 下列判断正确的有( )
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次