有下列4个命题:
①、函数
在一点的导数值为
是函数
在这点取极值的充要条件;
②、若椭圆
的离心率为
,则它的长半轴长为1;
③、对于
上可导的任意函数
,若满足
,则必有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f8f1e16cc3e79d4286d373a923cd228.png)
④、经过点(1,1)的直线,必与椭圆
有2个不同的交点.其中真命题的为_____
将你认为是真命题的序号都填上)
①、函数
![](https://img.xkw.com/dksih/QBM/2012/7/19/1570929760952320/1570929766400000/STEM/a49563b2585c430d80a65218f1c1f149.png?resizew=61)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://img.xkw.com/dksih/QBM/2012/7/19/1570929760952320/1570929766400000/STEM/a49563b2585c430d80a65218f1c1f149.png?resizew=61)
②、若椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d6977d77fef25921ecd3da10cbc43c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
③、对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bebefcdc13193b5aabaa8ab5a3c964e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f8f1e16cc3e79d4286d373a923cd228.png)
④、经过点(1,1)的直线,必与椭圆
![](https://img.xkw.com/dksih/QBM/2012/7/19/1570929760952320/1570929766400000/STEM/4f316581a3084507b132e7ec0a0f619a.png?resizew=81)
将你认为是真命题的序号都填上)
11-12高二下·四川雅安·期中 查看更多[2]
更新时间:2016-12-02 08:00:22
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【推荐1】下列命题:①空间中没有交点的两直线是平行直线或异面直线;②原命题和逆命题真假相反;③若
,则
;④“正方形的两条对角线相等且互相垂直”,其中真命题的个数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eef30a1357d8d8b6a2de0cd4e960e9.png)
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【推荐2】有下列几个命题:①若
,则
;②“若
则
”的逆命题;③“若
,则
互为相反数”的否命题;④“若
,则
互为倒数”的逆否命题. 其中真命题的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8201ff29a2091d40eee10db6bbc1f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1856238e10b04318b42b47950b206bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a2e1b827862789493646b5e41e73807.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9cdea1e995c59e5d3225acad8b4d3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca27cc54ca0332245f5167488daa3408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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【推荐1】已知函数
的定义域为
,部分对应值如下表,
的导函数
的图象如图所示,给出关于
的下列命题:
![](https://img.xkw.com/dksih/QBM/2019/4/12/2180941913202688/2183521666244608/STEM/f6d8f77fe5284d6db2ba8421a9d62ed6.png?resizew=190)
①函数
在
处取得极小值;
②函数
在
是减函数,在
是增函数;
③当
时,函数
有4个零点;
④如果当
时,
的最大值是2,那么
的最小值为0.
其中所有的正确命题是__________ (写出正确命题的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0988256f8b34d02ea22013b43180ae63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/528266886f51d30438cc04a70157e28c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
x | -1 | 0 | 2 | 4 | 5 |
![]() | 1 | 2 | 0 | 2 | 1 |
![](https://img.xkw.com/dksih/QBM/2019/4/12/2180941913202688/2183521666244608/STEM/f6d8f77fe5284d6db2ba8421a9d62ed6.png?resizew=190)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db40d5295942e85ec07a3728c7ad308d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2600a54b7bf3f79aaec7d49a47f6b4d2.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e340f8059c253f8af601a0f9c219c0de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4670151580327700b451c37d82b145ee.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d857e456ac2a48dd3888f3a5b11a61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95089334a16051992a46b33d08d8fb4e.png)
④如果当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5130f1a7cdf17e5a0c87dcc11874a29d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
其中所有的正确命题是
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【推荐2】已知函数
,则
的极大值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02eb892838a90c9915405c4b83fadf78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解题方法
【推荐1】已知函数
在
时有极值0,则
= ______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf5bd72f7b02be7998870edcbbcfdfc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
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【推荐2】已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0852ff60c1df2e8fccc50fae0adfbde5.png)
_____ ,
有极__________ (填大或小)值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f53f81bca037a4383c1fab122a3cd3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0852ff60c1df2e8fccc50fae0adfbde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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【推荐1】中心在原点,焦点在坐标轴上,离心率为
,且过点
的椭圆的方程是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
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【推荐2】把离心率为
的椭圆称为“正椭圆”.已知
、
为“正椭圆”
的左、右焦点,过
的直线交椭圆于
两点,若
周长为16,则“正椭圆”
方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5eb2485f90dbfd0dfd6e7d179a856f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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