名校
1 . 已知
为
上的偶函数,当
时,
.对于结论
(1)当
时,
;(2)函数
的零点个数可以为4,5,7;
(3)若
,关于
的方程
有5个不同的实根,则
;
(4)若函数
在区间
上恒为正,则实数
的范围是
.
![](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/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f45afdf4d717bb03adac6b899c367acb.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a72d3f24ff789921509d751b967006a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c322b98669d82733108306842a83a69.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46305fedfb17a208a8b4cab7ebceddfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccdaf0d40b7153b5084e44b966ecbadf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aed39f5aca78934fb383402433fe549.png)
(4)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6379419627bb36cc2f289f9b9ef8881.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50fea4f0abf56345b563f8ae7fb5416.png)
说法正确的序号是
您最近一年使用:0次
2017-11-18更新
|
1278次组卷
|
2卷引用:四川省成都七中2020届高一上半期期中数学试题
9-10高二下·福建龙岩·期中
名校
2 . 对于直角坐标平面内的任意两点
,定义它们之间的一种“距离”:
.给出下列三个命题:
①若点
在线段
上,则
;
②在
中,若
,则
;
③在
中,
,其中真命题的个数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4daf40bad1cc89311930cce356672354.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442f62c56dc469e6f50dd603327d1211.png)
①若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e90a3f567890fe46860ca45c5bc5c7.png)
②在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69550d878381f6e8fb436e88638f070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c812f6b90a64913c41738ce990b7afdc.png)
③在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7b8c13ab91cf9f1c42dbff7a272a5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-04-04更新
|
906次组卷
|
10卷引用:2010年福建省上杭一中高二第二学期半期考试数学(理科)试题
(已下线)2010年福建省上杭一中高二第二学期半期考试数学(理科)试题(已下线)2012-2013年山东济宁泗水一中高二12月质量检测理科数学试卷(已下线)2012-2013学年山东省济宁市高二上学期期末理科数学(已下线)2013届广东省广宁县广宁中学高三2月月考理科数学试卷2015-2016学年广东省英德市一中高二上学期第一次月考理科数学试卷北京市北京八中2018届高三第二次月考数学理科试题上海市杨思高级中学2020-2021学年高一上学期期中数学试题人教B版(2019) 选修第一册 过关检测 第二章 2.1坐标法上海市上海交通大学附属中学2022届高三下学期期中数学试题(已下线)专题01 集合与不等式必考题型分类训练-3
2012·河南郑州·一模
真题
解题方法
3 . 在整数集Z中,被5除所得余数为k的所有整数组成一个“类”,记为[k],即[k]={5n+k丨n∈Z},k=0,1,2,3,4.给出如下四个结论:
①2011∈[1];
②﹣3∈[3];
③Z=[0]∪[1]∪[2]∪[3]∪[4];
④“整数a,b属于同一“类”的充要条件是“a﹣b∈[0]”.
其中,正确结论的个数是
①2011∈[1];
②﹣3∈[3];
③Z=[0]∪[1]∪[2]∪[3]∪[4];
④“整数a,b属于同一“类”的充要条件是“a﹣b∈[0]”.
其中,正确结论的个数是
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2019-01-30更新
|
1409次组卷
|
8卷引用:2012届河南省中原六校高三第一次联考理科数学试卷
(已下线)2012届河南省中原六校高三第一次联考理科数学试卷2011年普通高等学校招生全国统一考试文科数学(福建卷)【全国市级联考】河南省南阳市2017-2018学年高二下学期期中考试数学(文)试题(已下线)专题01 集合概念与运算-十年(2011-2020)高考真题数学分项(已下线)专题06集合的运算2020年初升高数学无忧衔接(沪教版)(已下线)考点05 函数的基本性质-备战2022年高考数学(文)一轮复习考点帮北京市第四十四中学2022-2023学年高一上学期10月月考数学试题(已下线)压轴题高等数学背景下新定义题(九省联考第19题模式)练
4 . 已知下列三个命题:
若直线
和平面
内的无数条直线垂直,则
;
:若
,则
;
:在
中,若
,则
.
其中真命题的个数是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a617a9b648bfb804eb7ac1cf357f8a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e380108ba2cf04e68a5a9393d2b921c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adad9633b73dfbbb3d84b4f15979e99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7edecfbf1b4e1052468d209e8f017a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1354ed0a49ce7fc4ab30bd89ce148723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b21b872313f7d8c5b606981f954a1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca51be437b1a97ca92aa1159ab71102c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dc38d888741a1b2e95fe0773a48c38.png)
其中真命题的个数是
A.0 | B.1 | C.2 | D.3 |
您最近一年使用:0次
2016高二·全国·课后作业
5 . 已知命题
:函数
在
上单调递增;命题
:关于
的不等式
对任意的
恒成立.若
为真命题,
为假命题,则实数
的取值范围为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://img.xkw.com/dksih/QBM/2016/10/27/1826272855228416/1826272855449600/STEM/3adba7f004c34904946aa044c1073b29.png)
![](https://img.xkw.com/dksih/QBM/2016/10/27/1826272855228416/1826272855449600/STEM/9ba0d00869054c32b35830610f8d8338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://img.xkw.com/dksih/QBM/2016/10/27/1826272855228416/1826272855449600/STEM/a74427382bd94b0d8612abed1a0e7d0f.png)
![](https://img.xkw.com/dksih/QBM/2016/10/27/1826272855228416/1826272855449600/STEM/5c68e6fd80d243b784f0080a12b5cae5.png)
![](https://img.xkw.com/dksih/QBM/2016/10/27/1826272855228416/1826272855449600/STEM/288fde0a3bd4410aab38eb0b993632b7.png)
![](https://img.xkw.com/dksih/QBM/2016/10/27/1826272855228416/1826272855449600/STEM/a3c2f5f119534fa2805008c3c116da0d.png)
![](https://img.xkw.com/dksih/QBM/2016/10/27/1826272855228416/1826272855449600/STEM/f7ac721ba3984f5a828c7f11bb54ae2a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
6 . 已知
,函数
,
(
是自然对数的底数).
(Ⅰ)讨论函数
极值点的个数;
(Ⅱ)若
,且命题“
,
”是假命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5d5f3fced276f3127f2e3c0c428f9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c9f357eae697e6758b13b7a13b593f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d218992d1942266d7208e476d0c4100.png)
(Ⅰ)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d176e1fcf07f69f98de820bf524236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6f008ca86a6fe6b2b467254e388cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2017-05-10更新
|
2038次组卷
|
4卷引用:山东省淄博市2017届高三第二次模拟考试数学(理)试题
11-12高三下·北京海淀·期中
名校
解题方法
7 . 已知函数
,
则(ⅰ)
= ;
(ⅱ)给出下列三个命题:
①函数
是偶函数;
②存在
,使得以点
为顶点的三角形是等腰直角三角形;
③存在
,使得以点
为顶点的四边形为菱形.
其中,所有真命题的序号是 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0ce930f9bc1a4f1b2393e66163ba7e.png)
则(ⅰ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e56e3224d58e0cfd256493f3fc63df.png)
(ⅱ)给出下列三个命题:
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ea3dc8a58464d713f4efdaa5f7b36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/915d38d4697388d173768b2f23115f6f.png)
③存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd9f4f1aa77bde1071e6b389b143a2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a291710ca6e7e8b95aee704f1b37bb1.png)
其中,所有真命题的序号是 .
您最近一年使用:0次
2017-12-25更新
|
723次组卷
|
5卷引用:2012届北京市海淀区高三下学期期中练习理科数学试卷
解题方法
8 . 给出下列四个命题:
①函数
在区间
上存在零点;
②要得到函数
的图象,只需将函数
的图象向左平移
个单位;
③若
,则函数
的值城为
;
④“
”是“函数
在定义域上是奇函数”的充分不必要条件;
⑤已知
为等差数列,若
,且它的前
项和
有最大值,那么当
取得最小正值时,
.其中正确命题的序号是__________ .
①函数
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/b655d38549164c59867e4d94f11efbf9.png?resizew=123)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/ca3f752bcf854500974df6886ea07ed3.png?resizew=33)
②要得到函数
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/1c506a857054489398014631f620cd51.png?resizew=60)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/9c4032b78d644143a0c093275a3c2e15.png?resizew=100)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/217a53c36c1548d39db4776d87a14273.png?resizew=17)
③若
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/fc30550d834440bf91b46764b7ee93e6.png?resizew=49)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/c953890882964091925a6dd58efe9010.png?resizew=147)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/e3632ed30eea4f01be8ada8724df1b6c.png?resizew=16)
④“
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/03c5799884d24399b59dd689fa28ef2b.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/a22c093efd764e6dbf7b10778fb7880a.png?resizew=99)
⑤已知
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/92e7343367f643538d2e52e9e1a17f8e.png?resizew=31)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/a8a5d096fbd94c3db20a523e15f189a3.png?resizew=59)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/79cbaae30a334e02bc78edde95a391f4.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/9f0c88d142c7417696efbc94d173a456.png?resizew=20)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/9f0c88d142c7417696efbc94d173a456.png?resizew=20)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/3a62d34c81254643ade5ea42e8981bf5.png?resizew=47)
您最近一年使用:0次
9 . 设m是一个非负整数,m的个位数记作
,如
,
,
,称这样的函数为尾数函数.给出下列有关尾数函数的结论:
①
;
②
,若
,都有
;]
③
;
则正确的结论的个数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee53de59dde51125e85976f971dc9d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/941e386b4eaab6b92a9ebcc678734896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d798792867f5e328b969a4dfab54fc5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f94a1caa3d9007c8e0b337a27fd856d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5448c0b24a1be067f25f8b3452c427.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/050f4807b669482d496e6bc086264fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f3f0bf97c664d0bf86d450a0cb9592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/250f7c541bda2a5de97f7925c1d9664c.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b30766b4589c4288fe4193d37a71986f.png)
则正确的结论的个数为
A.3 | B.2 | C.1 | D.0 |
您最近一年使用:0次
12-13高三·上海·阶段练习
10 .
,其中
均为常数,下列说法正确的有
(1)若
,则对于任意
,
恒成立;
(2) 若
,则
是奇函数; (3) 若
,则
是偶函数;(4) 若
,且当
,则
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16fd7b3edb613bece583e34b0f1cfdc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/247bece373d07c71edf01b79a6ee7393.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da1be44b3f4c2d652f3dab5a24cbf6a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3047d4ab078dafc06c047bcbf0a6ffaf.png)
(2) 若
![](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/03f206c5aaa43c3779a7871f0264b620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ba3ea45c7db37f11b4d0994e3d724b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a74a20e4fefe4673cf472107bca7044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a138fae2924c6104c0d9a8f23576007.png)
您最近一年使用:0次