2013·北京·一模
1 . 在某条件下的汽车测试中,驾驶员在一次加满油后的连续行驶过程中从汽车仪表盘得到如下信息:
注:
,
,
.
从以上信息可以推断在10:00—11:00这一小时内_________________ (填上所有正确判断的序号).
①行驶了80公里;
②行驶不足80公里;
③平均油耗超过9.6升/100公里;
④平均油耗恰为9.6升/100公里;
⑤平均车速超过80公里/小时.
时间 | 油耗(升/100公里) | 可继续行驶距离(公里) |
10:00 | 9.5 | 300 |
11:00 | 9.6 | 220 |
![](https://img.xkw.com/dksih/QBM/2015/9/25/1572242164064256/1572242170003456/STEM/7d0700793e9f47aba9442bebb52c5bb3.png?resizew=181)
![](https://img.xkw.com/dksih/QBM/2015/9/25/1572242164064256/1572242170003456/STEM/f77c88f23b684376983beaef52b37abe.png?resizew=210)
![](https://img.xkw.com/dksih/QBM/2015/9/25/1572242164064256/1572242170003456/STEM/1de5646d313e4a27930669340c9a2bb8.png?resizew=224)
从以上信息可以推断在10:00—11:00这一小时内
①行驶了80公里;
②行驶不足80公里;
③平均油耗超过9.6升/100公里;
④平均油耗恰为9.6升/100公里;
⑤平均车速超过80公里/小时.
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名校
2 . 现有31行67列表格一个,每个小格都只填1个数,从左上角开始,第一行依次为1,2,
,67,第二行依次为68,69,
,134,
依次把表格填满,现将此表格的数按另一方式填写,从左上角开始,第一列从上到下依次为1,2,
,31,第二列从上到下依次为32,33,
,62,
依次把表格填满,对于上述两种填法,在同一个小格里两次填写的数相同,这样的小格在表格中共有________ 个
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
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3 . 设
为非空实数集,若
,都有
,则称
为封闭集.
①集合
为封闭集;
②集合
为封闭集;
③若集合
为封闭集,则
为封闭集;
④若
为封闭集,则一定有
.
其中正确结论的序号是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab34536d2a601b48c5ebfb135f5f4d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c1ac9dccaeb12e5bc789b9a03eeed07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
①集合
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572272679182336/1572272685162496/STEM/4a22051f8a32446c9453364a010ddedb.png?resizew=141)
②集合
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572272679182336/1572272685162496/STEM/ead7bdff2e5e4abf8c7a3ec2313f0a4c.png?resizew=144)
③若集合
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572272679182336/1572272685162496/STEM/15b4cf81e90d4d4ab655a074df39a8ef.png?resizew=42)
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572272679182336/1572272685162496/STEM/98d13512bf744dc483191a5774f45b14.png?resizew=54)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2faf3937abcb6a59071c17bc6bb10f6.png)
其中正确结论的序号是
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12-13高二下·浙江台州·期中
4 . 若函数
满足
,对定义域内的任意
恒成立,则称
为m函数,现给出下列函数:
①
; ②
; ③
; ④![](https://img.xkw.com/dksih/QBM/2014/1/22/1571502711570432/1571502717108224/STEM/88294373ed8741dfa5be4e302f56e6c0.png?resizew=51)
其中为m函数的序号是________ .(把你认为所有正确的序号都填上)
![](https://img.xkw.com/dksih/QBM/2014/1/22/1571502711570432/1571502717108224/STEM/3c784c1afecb4ad3a642f65a65e75ebe.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2014/1/22/1571502711570432/1571502717108224/STEM/08cba22cd6044f93862886976479fe21.png?resizew=93)
![](https://img.xkw.com/dksih/QBM/2014/1/22/1571502711570432/1571502717108224/STEM/8d5a768e07c24665b9d137d95934fe8e.png?resizew=171)
![](https://img.xkw.com/dksih/QBM/2014/1/22/1571502711570432/1571502717108224/STEM/3c784c1afecb4ad3a642f65a65e75ebe.png?resizew=36)
①
![](https://img.xkw.com/dksih/QBM/2014/1/22/1571502711570432/1571502717108224/STEM/219171f147974fa28b2fe38e109e3f5f.png?resizew=41)
![](https://img.xkw.com/dksih/QBM/2014/1/22/1571502711570432/1571502717108224/STEM/13130c2f683043e39b06ba9757dc38c6.png?resizew=47)
![](https://img.xkw.com/dksih/QBM/2014/1/22/1571502711570432/1571502717108224/STEM/b2f3933c55974e5c9dcc967c0c3f196a.png?resizew=60)
![](https://img.xkw.com/dksih/QBM/2014/1/22/1571502711570432/1571502717108224/STEM/88294373ed8741dfa5be4e302f56e6c0.png?resizew=51)
其中为m函数的序号是
您最近一年使用:0次
2016-12-02更新
|
230次组卷
|
6卷引用:2014届山东省临沂市重点中学高三12月月考文科数学试卷
(已下线)2014届山东省临沂市重点中学高三12月月考文科数学试卷2014届山东省潍坊市一中高三1月期末考前模拟理科数学试卷2014届山东省潍坊市一中高三1月期末考前模拟文科数学试卷(已下线)【百强校】2014届山东省潍坊市一中高三1月期末考前模拟理科数学试卷(已下线)2012-2013学年浙江省台州书生中学高二下学期期中考试文科数学试卷2015-2016学年河北邢台一中高二下期中文科数学试卷
11-12高三下·吉林长春·开学考试
名校
5 . 已知函数
的定义域为
,若存在常数
,对任意
,有
,则称
为
函数,给出下列函数:
①
;
②
;
③
;
④
是定义在
上的奇函数,且满足对一切实数
均有
.
其中是
函数的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0145d3a0780ec19a5d09b169412654c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587882ac081850caa4447c44a7dbb845.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca24790a1a92e9ceb376ce62df4e0e6.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1530a52e32f2e270848d323f7bac6472.png)
其中是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
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2016·上海·一模
6 .
表示一个两位数,记
,如
,则满足
的两位数共有______个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8b84a2ad95e2e4b1eec2ac1dda6629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7f436c4349a81a95d7b9028a0076785.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13f9125ec5a81df4ff5e562cdfdc3405.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2030ef3a262dff91d392fdc967c0922a.png)
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7 . 设Sn是数列{an}的前n项和,若
(n∈N*)是非零常数,则称数列{an}为“和等比数列”.若数列
是首项为2,公比为4的等比数列,则数列{bn}__________ (填“是”或“不是”)“和等比数列”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a3dab80709d7a4798633a904e1323d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d14515a25bb3b05b9da63e4fbc6e7878.png)
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解题方法
8 . “
”表示不超过实数
的最大的整数,如
,又记
,已知函数
,给出以下命题:①
的值域为
;②
在区间
上单调递减;③
的图象关于点
中心对称;④函数
为偶函数.
其中所有正确命题的序号是____________ .(将所有正确命题序号填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc51e97939a8966daa015535a801561.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ccd3e1a186f5a2623f20a0fe3af64f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f2754b3b1dad0794ec35a1771e1453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05ab33e7bee6752179afc504e6d64f90.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/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f01c0fc881ee40b9ce4aea46fa601629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb642fa455980c8215b929439c3c38ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d09a2b7c019dae83e027830b82b3ee8d.png)
其中所有正确命题的序号是
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9 . 定义:
,当
且
时,
,对于函数
定义域内的
,若正在正整数
是使得
成立的最小正整数,则称
是点
的最小正周期,
称为
的
~周期点,已知定义在
上的函数
的图象如图,对于函数
,下列说法正确的是_________ (写出所有正确命题的编号.
①1是
的一个3~周期点;
②3是点
的最小正周期;
③对于任意正整数
,都有
;
④若
,则
是
的一个2~周期点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66a88cbaed58dcf9671ba9240359b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96119cc3005adf559140161bd872143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efdd1c13dabf31c58cd6745f8c6cd911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502391499c80be46a8591b0fb88f6a4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7ea71e19c3062127d5628444770202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①1是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②3是点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
③对于任意正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86f42018c384c381aeae8f1073698d55.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2effe2f43993d49ae93dde0162dd21d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/2017/1/4/1619441651769344/1619441652236288/STEM/3a4c106e438b45f3b862af0d84267bd3.png?resizew=113)
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名校
10 . 已知集合
,集合
,若
有两个元素,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927ef5d6197904f4188393a5eb3aad79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/058e35ceb143ef0f003ff60639936542.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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