名校
解题方法
1 . 函数
的定义域是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f729de9ea16f15ac5cf06ab94c6b507.png)
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2022-12-16更新
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9卷引用:期末测试卷02(测试范围:第1-8章+集合+不等式+函数)-备战2023-2024学年高二数学下学期期末真题分类汇编(沪教版2020选择性必修,上海专用)
(已下线)期末测试卷02(测试范围:第1-8章+集合+不等式+函数)-备战2023-2024学年高二数学下学期期末真题分类汇编(沪教版2020选择性必修,上海专用)上海市宝山区2023届高三上学期一模数学试题上海市复兴高级中学2024届高三上学期开学考试数学试题(已下线)4.3 对数函数-同步精品课堂(沪教版2020必修第一册)上海市新川中学2023-2024学年高一上学期期末考试数学试卷北京市海淀区2023届高三一模数学试题查漏补缺练习北京卷专题11B指对幂函数广东省广州科学城中学2023届高三下学期5月月考数学试题北京市西城区北京师范大学附属实验中学2024届高三下学期6月热身练习数学试卷
2022高三·全国·专题练习
名校
2 . 已知
,
、
,则
的情况有_____ 种.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae70e52dd243449f42f43f1079a43167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb9df3a17aa370eba2add2c13cfc2619.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8482fdda1726850b60ba214708691d5e.png)
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2022-11-06更新
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459次组卷
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8卷引用:核心考点10计数原理(1)
(已下线)核心考点10计数原理(1)(已下线)专题06计数原理--高二期末考点大串讲(沪教版2020选修)(已下线)黄金卷08陕西省西安市蓝田县城关中学大学区联考2023-2024学年高二下学期3月阶段性学习效果评测数学试题(已下线)专题13概率与统计必考题型分类训练-1(已下线)模块一 集合、常用逻辑用语及复数-1新疆乌鲁木齐市第七十中学2023届高三上学期期中数学(理)试题(已下线)第01讲 计数原理(练习)
2014·北京房山·一模
名校
3 . 已知函数
,若关于
的方程
有三个不同的实根,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d2bdec96e31272d1314ced70d344c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce90064385c4633056784c1ae375a2d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2020-12-31更新
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629次组卷
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9卷引用:上海市上海交通大学附属中学2016-2017学年高二上学期摸底考试数学试题
上海市上海交通大学附属中学2016-2017学年高二上学期摸底考试数学试题2015-2016学年山西省怀仁一中高二下期中文科数学试卷(已下线)【高二模块一】难度1 小题强化限时晋级练(基础1)(已下线)2014届北京市房山区4月高三一模理科数学试卷2015-2016学年河北定州中学高一承智班上周练二数学试卷(已下线)二轮复习 【理】专题3 函数的应用 押题专练四川省乐山市峨眉第二中学校2020-2021学年高一上学期12月月考数学试题天津市静海区四校2021-2022学年高一上学期12月阶段性检测数学试题四川省自贡成都外国语学校2023届高三上学期10月月考数学试题
19-20高二下·上海浦东新·期末
名校
4 . 集合
的真子集的个数是______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f3b63d077409540339b8625b1de0ba.png)
您最近一年使用:0次
名校
5 . 设函数
,
.如果对任意一个三角形,它的三边长
,且
,
,
也是某个三角形的三边长,则称
为“保三角形函数”.
(1)求证:
不是“保三角形函数”;
(2)试判断
是否为“保三角形函数”,并说明理由;
(3)若
,
叫是“保三角形函数”,试求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c745613b6793bc25c3294ea4fdf7a288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff3bf2007903adc64d089a054c2284a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4889b4b46d3cd6dd677d200bdf4914fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de447d5e47448d0f15a7535bf3ce0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb60584823b8d6d4348a1cb1a087883d.png)
(2)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0401e9d82fb6d915ac47f2af0602612.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8125e69e4537fa9a48f7993fad3d4fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae1e35cf8ac6a333deeae2cefc977afd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
名校
6 . 设函数
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b2a71744d0c37d9bf851adc12087eb6.png)
(
,
,
)为已知实常数,
,下列关于函数
的性质判断正确的个数是( )
①若
,则
对任意实数x恒成立;②若
,则函数
为奇函数;③若
,则函数
为偶函数;④当
时,若
,则
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad7ffb9ab5ee6a244939c0a0ac7358e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b2a71744d0c37d9bf851adc12087eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb853c35a7d17396aa032e33505002f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ab46d077ba3d6e13fa1f6a5aaa0ce6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e8cc82c03cabcddfa5e9cec6dced62d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3047d4ab078dafc06c047bcbf0a6ffaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104375baf5cef5eb92cfc7cf13b80193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5dabbaf770207f1d9b83ca67ac9147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf2dd8a5301d3f252c686dfe2331eae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40fd17a767750d2f6445f7230093bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40539440ed8a8c6611e1db3322f02d9a.png)
A.4 | B.3 | C.2 | D.1 |
您最近一年使用:0次
2020-02-16更新
|
974次组卷
|
4卷引用:上海市嘉定区第一中学2022-2023学年高二上学期期中数学试题
名校
7 . 对于集合
,
,
,
,定义
.集合
中的元素个数记为
.规定:若集合
满足
,则称集合具
有性质
.
(1)已知集合
,
,写出
,
的值;
(2)已知集合
,其中
,证明:
有性质
;
(3)已知集合
,
有性质
,且
求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a3f24673b6e954db3a8b229d8c4564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5896fefe98d407d48fb709c4fb395363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9f41a0eb95a51bc64caca93cb3dc2cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/255a362a20eb766c90447c47894be6fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fd01ea3d752dd68c7746c6c799b58e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8279d9dd0b7750953cb9e2098b3b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9821d668a92574d1bcb97aa93dc8108b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(1)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6bf383bb9e68dde1d91355358d45d80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b82715ae3437616b568f9c45d4714781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b6ca4579d3b21f827a20b3e7b7ad58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/078cbd53c078b091c2bba4e55c98b2c9.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9c0d49c56d6bcc3aeb47ec43fca8425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(3)已知集合
![](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/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c0e5a91adcedbb06079ac61fc82e84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80d440b9478c09a6870403a8bd5cf38.png)
您最近一年使用:0次
名校
8 . 设
,
是实数集
的两个子集,对于
,定义:
若对任意
,
,则
,
,
满足的关系式为______ .
![](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/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f17f00e5dcd4a1967509b521196c403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a45f717ed067d19c8dcf66a7fde4d15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f371d431b6c91972b742c426c8a81ef.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/4aa0df7f1e45f9de29e802c7f19a4f64.png)
您最近一年使用:0次
9 . 某地的出租车价格规定:起步费
元,可行
公里,
公里以后按每公里
元计算,可再行
公里;超过
公里按每公里
元计算,假设不考虑堵车和红绿灯等所引起的费用,也不考虑实际收取费用去掉不足一元的零头等实际情况,即每一次乘车的车费由行车里程唯一确定.
(1)若小明乘出租车从学校到家,共
公里,请问他应付出租车费多少元?
(2)求车费
(元)与行车里程
(公里)之间的函数关系式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180ea775f2af05650404d764384e7faa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a637e8f4e368c079616955509b1717e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b06e95b57b7a81cd81d05557a11fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/900206075ce8f1f040d2e3a6685ad51a.png)
(1)若小明乘出租车从学校到家,共
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
(2)求车费
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
您最近一年使用:0次
名校
10 . 函数
的值域为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/129098be5247e71ab430ebcdc22f834d.png)
您最近一年使用:0次
2019-11-16更新
|
361次组卷
|
3卷引用:上海市南模中学2019-2020学年高二上学期(9月)初态考数学试题