1 . 在平面直角坐标系中,横、纵坐标均为整数的点叫做格点.若函数
的图象恰好经过
个格点,则称函数
为
阶格点函数.已知函数:①
;②
;③
;④
.其中为一阶格点函数的序号为______ (注:把你认为正确论断的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a09926b9ee45adb27db40d91306684d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee0ad14ff86ea0d7608ac41ec211358d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ef4c117d9d88a92bd2e7b9d8fa38e2.png)
您最近一年使用:0次
名校
2 . 下列共用四个命题.
(1)命题“
,
”的否定是“
,
”;
(2)在回归分析中,相关指数
为
的模型比
为
的模型拟合效果好;
(3)
,
,
,则
是
的充分不必要条件;
(4)已知幂函数
为偶函数,则
.
其中正确的序号为_________ .(写出所有正确命题的序号)
(1)命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c7a319f1fb9ef4cd6bd9eb5ab0c53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03edd85c55c93a3e34d3477d7e04f731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aec0693231f71fc10f820c41823dd37.png)
(2)在回归分析中,相关指数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c85067c53e936ef32da818efe04bdbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be68b3aa1b5022969487c0bb8aad2c41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c85067c53e936ef32da818efe04bdbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/085ce2eeb0eb35af515d1ecd8ebaa610.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd15a98f5f7c568023a3db60c2e1de2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd0029379a0e2f8595cfb343a5c03f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(4)已知幂函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eb7ed9690c65a9fbfe0441af5f0b26e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba24ca9648a13438daa6da7a10073163.png)
其中正确的序号为
您最近一年使用:0次
2017-05-26更新
|
851次组卷
|
4卷引用:湖南省长沙市长郡中学2017届高三5月模拟考试数学(理)试题
3 . 设函数
图象上不同两点
,
处的切线的斜率分别是
,
,规定
(
为线段
的长度)叫做曲线
在点
与点
之间的“弯曲度”,给出以下命题:
①函数
图象上两点
与
的横坐标分别为1和
,则
;
②存在这样的函数,图象上任意两点之间的“弯曲度”为常数;
③设点
,
是抛物线
上不同的两点,则
;
④设曲线
(
是自然对数的底数)上不同两点
,
,则
.
其中真命题的序号为__________ .(将所有真命题的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6ff82ebdfad5e7de1c7487b0b817a7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a53e311ee0b5085e7e5a45c606daa5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8605ae9897d5d6f0679b4aa80e014bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b3e87e9bb00d9ba09cb5660aebd76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7d70c30402ee0eeaab96cc6eefc0cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaff41080fdea43eea7efedf9ebc1498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.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/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9194547561993c2c98a4f32201012c.png)
②存在这样的函数,图象上任意两点之间的“弯曲度”为常数;
③设点
![](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/c2b629bea8e22de9bfc49158e2289871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad613217bdff0b1c225e3e5ca31eec4c.png)
④设曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eae1b87c23b45ce5e5e74d5b1d73234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6ff82ebdfad5e7de1c7487b0b817a7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a53e311ee0b5085e7e5a45c606daa5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d456cce6e8beeff190657ed57e3e05.png)
其中真命题的序号为
您最近一年使用:0次
4 . 已知关于空间两条不同直线m、n,两个不同平面
、
,有下列四个命题:①若
且
,则
;②若
且
,则
;③若
且
,则
;④若
,且
,则
.其中正确命题的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a4c549e7ea8776ec821c467bc1a913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df0d37b44de48de51555fa95d94e33f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80645381feb9746cc149da61d553974a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1b610e3c5b3d78a5730e7f3d736ac28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b6e422b2e6f6dada4d8c369559a077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d6ca6fed060a95127579051f7a6b79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe920cd78db25f5b4df37d066e57800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc01d7aa51bf4f95c4b12ae9dcb7eb4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a042a14e1c3c915ad11544c9e1e57da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe920cd78db25f5b4df37d066e57800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b6e422b2e6f6dada4d8c369559a077.png)
您最近一年使用:0次
5 . 给出下列命题:
①若函数
满足
,则函数
的图象关于直线
对称;
②点
关于直线
的对称点为
;
③通过回归方程
可以估计和观测变量的取值和变化趋势;
④正弦函数是奇函数,
是正弦函数,所以
是奇函数,上述推理错误的原因是大前提不正确.
其中真命题的序号是__________ .
①若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c5c154f95ef32e12905edc3174c1970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
②点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/485d6818209795b61f4dedb9801f754b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b979396a703fb14715ba39232f5786a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a6106e20701c1126072050e181dedf3.png)
③通过回归方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/929ef3bed0a4bdd22f39e036506dc481.png)
④正弦函数是奇函数,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20bdd870f7bc7cae93141d101b1150b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20bdd870f7bc7cae93141d101b1150b7.png)
其中真命题的序号是
您最近一年使用:0次
名校
6 . 下列说法中错误的是__________ (填序号)
①命题“
,有
”的否定是“
”,有
”;
②已知
,
,
,则
的最小值为
;
③设
,命题“若
,则
”的否命题是真命题;
④已知
,
,若命题
为真命题,则
的取值范围是
.
①命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281b260fe94c42258b7fa8c6bc6cefa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb9c2681fd202657c6d22201b738d19c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fdcb0d7eda2baefa352f1a01e6acbdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44d098a68a65c8c2b6c058cb17a903b.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaf35d6c316d9a014327ed3fdfeec374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a3df1ec9f4cc08c367980b39a931785.png)
③设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcbca3478eae63853d2aab5332e2e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34715101c66fa12ce6baf0a9c53f1672.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c988d709ba8cd8aed6cb83d76c0ba89c.png)
④已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39b598308dce900e042d195d6fa0ab67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a6c2a598b6168200d5261996b8e3eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ba30151cfe5b33816cb59c11589e91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e93d6bae5b58d23fb85b8f54998da17.png)
您最近一年使用:0次
2018-02-07更新
|
2134次组卷
|
5卷引用:2017届江西省师大附中、临川一中高三1月联考数学(理)试卷
7 . 定义:数列
对一切正整数
均满足
,称数列
为“凸数列”,以下关于“凸数列”的说法:
①等差数列
一定是凸数列;
②首项
,公比
且
的等比数列
一定是凸数列;
③若数列
为凸数列,则数列
是单调递增数列;
④若数列
为凸数列,则下标成等差数列的项构成的子数列也为凸数列.
其中正确说法的序号是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606e55241a2e145d54849129b8ffd20f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e772be971634dc7230df59d91399dc59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606e55241a2e145d54849129b8ffd20f.png)
①等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606e55241a2e145d54849129b8ffd20f.png)
②首项
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390636a89883bd64bf8da9bf8654aff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71acdb04454c77e1e25ad4f336cccfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45482d31d1d7448c9f3922b4d2a55331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606e55241a2e145d54849129b8ffd20f.png)
③若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606e55241a2e145d54849129b8ffd20f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82c65a855b1eed9c43e6829f6c3bffb.png)
④若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606e55241a2e145d54849129b8ffd20f.png)
其中正确说法的序号是
您最近一年使用:0次