2011·山东济南·高考模拟
名校
1 . 偶函数
对任意
满足
,且当
时,
,则
等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6d3cddda76705263ee7f4adbfefd596.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8bf0d7950472e75d69dd9863915107e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1268cd2464aca6a6f8d564ec9086ecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b564b9f0f6f702f258a9238c7e5f1950.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-08-14更新
|
3088次组卷
|
10卷引用:新疆维吾尔自治区克拉玛依市第十三中学2018-2019学年高一上学期8月月考数学试题
新疆维吾尔自治区克拉玛依市第十三中学2018-2019学年高一上学期8月月考数学试题上海市青浦区2019-2020年高一上学期期末数学试题(已下线)2011届山东省济南市高三4月模拟考试理科数学卷(已下线)2012届河北省宣化一中高三模拟考试理科数学试卷(已下线)2014届江西省南昌市第二中学高三上学期第一次月考理科数学试卷(已下线)2015高考数学(理)一轮配套特训:2-3函数的奇偶性与周期性(已下线)2015届辽宁省五校协作体高三上学期期中考试理科数学试卷(已下线)2015届辽宁省五校协作体高三上学期期中考试文科数学试卷【全国百强校】安徽省淮北市第一中学2017-2018学年高二6月(第四次)月考数学(文)试题陕西省榆林市第十中学2021-2022学年高二下学期期中文科数学试题
解题方法
2 . 函数
是定义在
上的偶函数,
是奇函数,且当
时,
,则
( )
![](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/3ed2dd8a797d6da9c89e858aed9a7da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f5c837522a811402efb9762210c5362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a952ae67b556d6b0657dd138ef229bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03984df6246953b48bc13e15df76a227.png)
A.1 | B.![]() | C.![]() | D.2020 |
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2021-02-08更新
|
1412次组卷
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5卷引用:河北省衡水市第十四中学2020-2021学年高一上学期四调数学试题
河北省衡水市第十四中学2020-2021学年高一上学期四调数学试题(已下线)专题11 函数中的压轴题(一)-【尖子生专用】2021-2022学年高一数学考点培优训练(人教A版2019必修第一册)(已下线)突破3.2 函数的基本性质(1)新疆维吾尔自治区乌鲁木齐市第六十一中学2022-2023学年高一下学期开学考试数学试题2023年3月河北省普通高中学业水平合格性考试模拟(五)数学试题
名校
解题方法
3 . 已知
是定义在
上的偶函数,并且
,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02837172598f13bdd6a5c69f52d3dfa6.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/583b1d0a4d88afe56a6945aaaa54ce6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a7631c36ef4146adfdd90c3ab3410a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e174ad99b65cb6a865b5b4f7ccb030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02837172598f13bdd6a5c69f52d3dfa6.png)
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名校
4 . 定义在R上的奇函数
,满足
,在区间
上递增,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50d6e7c0fe73162910987a9c937e5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a9ef7c6c97e2f02c5505e43ea238e6.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2019-06-18更新
|
2943次组卷
|
5卷引用:辽宁省庄河市高级中学2018-2019学年高一下学期期中考试数学试题
辽宁省庄河市高级中学2018-2019学年高一下学期期中考试数学试题安徽省安庆市潜山第二中学2019-2020学年高一上学期期中数学试题新疆克孜勒苏柯尔克孜自治州第一中学2022-2023学年高一上学期期中数学试题(已下线)高一上学期期中考试选择题压轴题50题专练-举一反三系列(已下线)北京市丰台区2023届高三下学期3月一模数学试题变式题6-10
名校
解题方法
5 . 定义在
上的非常值函数
、
,若对任意实数x、y,均有
,则称
为
的相关函数.
(1)判断
是否为
的相关函数,并说明理由;
(2)若
为
的相关函数,证明:
为奇函数;
(3)在(2)的条件下,如果
,
,当
时,
,且
对所有实数
均成立,求满足要求的最小正数
,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b23cd0a1f49a060640fa4981ba98fe0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa1c68cebf2203d277f61cfdbacf175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(3)在(2)的条件下,如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc2b7be871fef904c94ef6360ee32bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8663f63173aa6f7646eea8f1053170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b94f151c00959a1cd3946e7f8405337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c717940255e8135ebff734c2b0e94722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d7c7b4934410a1727fe7024a6bd740f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
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解题方法
6 . 已知
是定义域为
的奇函数,且函数
为偶函数,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7661d3fc28f785b438ad8c8f9d240a.png)
A.函数![]() ![]() | B.![]() |
C.![]() | D.若![]() ![]() |
您最近一年使用:0次
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7 . 对于函数
,
,
,
及实数m,若存在
,
,使得
,则称函数
与
具有“m关联”性质.
(1)分别判断下列两组函数是否具有“2关联”性质,直接写出结论;
①
,
;
,
;
②
,
;
,
;
(2)若
与
具有“m关联”性质,求m的取值范围;
(3)已知
,
为定义在R上的奇函数,且满足:
①在
上,当且仅当
时,
取得最大值1;
②对任意
,有
.
求证:
与
不具有“4关联”性质.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02059edf02fba0e7c62b7c2a48ef1184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bed7a0e7e7a3b49b4cd2e777a64e9061.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4413796ac3d5ca067bf70334101f5440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3ac1b540727626af78788a8e5f15de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe6b84f7980bf119ee652fc253ed759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(1)分别判断下列两组函数是否具有“2关联”性质,直接写出结论;
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a18ca67c2770b98f36dbfd802595a95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba296251f96be272abf30c1c0e1a8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699f767ccf837c2bf8019d03451849c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636289ad84b4a3a51095dd32ca201f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/174550b7c81d8d41084dcafad90bfbe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a79d7f73b6128650bf7aed538260c72.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b923078510697d5f7f9ea392eb76dd9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96101eb5dce02c0213ad008413f3066.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
①在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a78355986534b6e50bd7cabc9290a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede97915bccd6a7b22d7400c30f8adea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18db64040b2fa9d65075b41ada928fa6.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa9c839f85fe048ed0882889e22f5166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61d2c5422d4b9f8c11a5ad1b62c6bb87.png)
您最近一年使用:0次
2023-06-19更新
|
341次组卷
|
3卷引用:北京市顺义区2022-2023学年高一下学期期中考试数学试题
名校
8 . 已知
为定义在R上的偶函数,当
时,有
,且当
时,
,下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a154aa77357cb73cbcd37275d873a324.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fbbf68b563ecbfca4728a138288a3bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c4e22f617d3a45992f896e77167f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c2e94155885f98abe9ae6e1f821f54.png)
A.![]() |
B.函数![]() |
C.直线![]() ![]() |
D.函数![]() ![]() |
您最近一年使用:0次
名校
解题方法
9 . 若定义在R上的函数
满足:
(ⅰ)存在
,使得
;
(ⅱ)存在
,使得
;
(ⅲ)任意
恒有
.
则下列关于函数
的叙述中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(ⅰ)存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f361a8ea4e5a4fed8aee3caeec925434.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7a129587e063a30e6d6449637f2b19.png)
(ⅱ)存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19339e3904e9541ff26b30ae5f1242b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e00435b0f669d30621f7ff0026cd38d.png)
(ⅲ)任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5223ece2f8f76850c49e2505304532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/333cf846facfab1283527ebe48961a95.png)
则下列关于函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.任意![]() ![]() | B.函数![]() |
C.函数![]() ![]() | D.函数![]() |
您最近一年使用:0次
2022-11-24更新
|
725次组卷
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2卷引用:辽宁省实验中学2021-2022学年高一上学期12月月考数学试题
名校
解题方法
10 . 已知
,
都是定义在
上的函数,对任意x,y满足
,且
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/109b8acf40088f0385734c68f7b2747f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45233ea15d19b08a43ad016a4f56e49e.png)
A.![]() | B.函数![]() ![]() |
C.![]() | D.若![]() ![]() |
您最近一年使用:0次
2024-04-03更新
|
713次组卷
|
6卷引用:高一上学期期中考试选择题压轴题50题专练-举一反三系列
(已下线)高一上学期期中考试选择题压轴题50题专练-举一反三系列广东省广州市第六中学2023-2024学年高一上学期期末数学试题新疆乌鲁木齐市等5地2023届高三高考第二次适应性检测数学(理)试题黑龙江省饶河县高级中学2022-2023学年高二下学期第二次月考数学试题(已下线)重难点03 函数性质的灵活运用【八大题型】(已下线)专题1 巧用性质 对称求和【练】