1 . 在数列
中,若
(
,
,
为常数),则
称为“等方差数列”.下列对“等方差数列”的判断:
①若
是等方差数列,则
是等差数列;
②
是等方差数列;
③若
是等方差数列,则
(
,
为常数)也是等方差数列.其中正确命题序号为
__________ (写出所有正确命题的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44818d415cf4e4af51151193e204bdd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/362832fa3d3c13c1eafd565349d66dce.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef891fc99921b6093392c1e3c5347d1.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a561552fc52b697f1a7f1c81c2f637.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b6d151d3f864bae873987f6db9327a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2018-05-02更新
|
739次组卷
|
2卷引用:【全国市级联考】四川省南充市2018届高三第三次联合诊断考试数学文科试题
2012·四川自贡·三模
2 . 对于三次函数
,定义
是
的导函数
的导函数,若方程
有实数解
,则称点
为函数
的“拐点”,可以证明,任何三次函数都有“拐点”,任何三次函数都有对称中心,且“拐点”就是对称中心,请你根据这一结论判断下列命题:
①任意三次函数都关于点
对称:
②存在三次函数
有实数解
,点
为函数
的对称中心;
③存在三次函数有两个及两个以上的对称中心;
④若函数
,则: ![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/cbdd6b14556e4870b23f8c1dcfe4e3ad.png?resizew=373)
其中正确命题的序号为_____ (把所有正确命题的序号都填上).
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/21ac331a5b0e4b30b00b0bfc8770a14a.png?resizew=213)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/60cd76baa3484586a3fab13c0e7d75f7.png?resizew=41)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/ca5c67acb37e4344aca4776bfadbb516.png?resizew=61)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/9b22cb4ef676428f863b199d569eff7a.png?resizew=65)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/4aeca168313f4352a09e9371cf7fe4f8.png?resizew=67)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/bed6f27974b441c4901f45d1999f3071.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/4a1972c93ff74273a10d6e3a25e47433.png?resizew=75)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/ca5c67acb37e4344aca4776bfadbb516.png?resizew=61)
①任意三次函数都关于点
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/86f6c82c145b4959a4570a0ff352e9e1.png?resizew=104)
②存在三次函数
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/9263178288534479a8555ceebddfcf6e.png?resizew=64)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/bed6f27974b441c4901f45d1999f3071.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/4a1972c93ff74273a10d6e3a25e47433.png?resizew=75)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/ca5c67acb37e4344aca4776bfadbb516.png?resizew=61)
③存在三次函数有两个及两个以上的对称中心;
④若函数
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/6f90ab20b1234a0b8c61bb78c5026c69.png?resizew=155)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/cbdd6b14556e4870b23f8c1dcfe4e3ad.png?resizew=373)
其中正确命题的序号为
您最近一年使用:0次
3 . “曼哈顿距离”是人脸识别中一种重要的测距方式.其定义如下:
设
是坐标平面内的两点,则A,B两点间的曼哈顿距离为
.
在平面直角坐标系中
中,下列说法中正确说法的序号为__________
①.若
,则
;
②.若O为坐标原点,且动点P满足:
,则P的轨迹长度为
;
③.设
是坐标平面内的定点,动点N满足:
,则N的轨迹是以点
为顶点的正方形;
④.设
,则动点
构成的平面区域的面积为10.
设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/093c6d5bcaa69cea79b24688f5d1bd97.png)
在平面直角坐标系中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
①.若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ccf6769201c55ae5ae826d00f8bcfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab82a9c913753411e77ca39282192441.png)
②.若O为坐标原点,且动点P满足:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323425fb46a89bf5305ee1c2d700de5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2031d209711b058f3d278ede3c1d33.png)
③.设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d8a4cf957865fad1cb648fcd2cbaa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed7b255e6a8bb6fd15cc744d35786b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78bcedf33c8b82facbef6cd87a2d3a88.png)
④.设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5292a8e4c2c929876c42c9cfabf1244f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
您最近一年使用:0次
4 . “曼哈顿距离”是人脸识别中一种重要的测距方式.其定义如下:设,
是坐标平面内的两点,则A,B两点间的曼哈顿距离为
.在平面直角坐标系中
中,下列说法中正确说法的序号为
①若,
,则
;
②若O为坐标原点,且动点P满足:,则P的轨迹长度为4;
③设是坐标平面内的定点,动点N满足:
,则N的轨迹是以点
,
,
,
为顶点的正方形;
④设,
,
,则动点
构成的平面区域的面积为10.
您最近一年使用:0次
5 . 已知函数
和
,若
,现有下列4个说法:①
;②
;③
;④
.其中所有正确说法的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9cc7f5b6853e3e6d0b8ba16ea81edc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9963dcc20d9a6467213797e65f947426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23b2604e5f8be78fbe6cafcb9b7f2f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/419504736c4934f6e0df4114c3743944.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a42526840a0fc525571737bed3d1af6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07e431fbe9d32c1fb868e4e3d2e1bd81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d9b616bddad1c2d129975b2a3067603.png)
A.①②④ | B.①②③ | C.②③ | D.①③④ |
您最近一年使用:0次
2022-07-07更新
|
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|
2卷引用:2023届四川省高考专家联测卷(1)数学(文)试题
名校
6 . 如图,在棱长为
的正方体
中,
,
分别为
,
的中点,有以下四种说法:
![](https://img.xkw.com/dksih/QBM/2022/4/14/2958049529307136/2958818150686720/STEM/a716e0ce-ac0f-4111-ba4c-8aacf0d4c6d3.png?resizew=170)
①直线
与
的夹角为
;
②二面角
的正切值是
;
③经过三点
,
,
截正方体的截面是等腰梯形;
④点
到平面
的距离为
;
则正确命题的序号为_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/2022/4/14/2958049529307136/2958818150686720/STEM/a716e0ce-ac0f-4111-ba4c-8aacf0d4c6d3.png?resizew=170)
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
②二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213d25b5ade550ec6afd3536e9eb5d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
③经过三点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
④点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae7f4612c548b1f72a964ddb291cd2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
则正确命题的序号为
您最近一年使用:0次
2022-04-15更新
|
340次组卷
|
2卷引用:四川省攀枝花市第七高级中学校2021-2022学年高三上学期入学考试理科数学试题
7 . 在下列命题中,正确命题的序号为_______ (写出所有正确命题的序号).
①函数
的最小值为
;
②已知定义在
上周期为4的函数
满足
,则
一定为偶函数;
③定义在
上的函数
既是奇函数又是以2为周期的周期函数,则
;
④已知函数
,则
是
有极值的必要不充分条件;
⑤已知函数
,若
,则
.
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d06215b160eb43fc7be227a31e9269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8aae28ca96120a3ec1f4ce541db3580.png)
②已知定义在
![](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/b4c01ab30854f54c2514d1a05f779b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③定义在
![](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/a8329471f251b9330f60fe6c593d821e.png)
④已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75044e0301ef9def5c1a1c8e6f2cba77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e56f4504e0f80fd031c8b5f41832e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
⑤已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52142482df6bbd431d300f011e3ccb12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ecda7bfb0a2043306bf7707a136ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356704dd58441206abb070f2b8fc0cc8.png)
您最近一年使用:0次
2016-12-04更新
|
379次组卷
|
6卷引用:2015届四川省雅安中学高三开学考试理科数学试卷
8 . 函数
图像上不同两点
,
处的切线的斜率分别是
,
,
为
两点间距离,定义
为曲线
在点
与点
之间的“曲率”,给出以下命题:
①存在这样的函数,该函数图像上任意两点之间的“曲率”为常数;
②函数
图像上两点
与
的横坐标分别为1,2,则 “曲率”
;
③函数
图像上任意两点
之间的“曲率”
;
④设
,
是曲线
上不同两点,且
,若
恒成立,则实数
的取值范围是
.其中正确命题的序号为_____________ (填上所有正确命题的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.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/3f4dfec890cdfdda355e19463f3be813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2847109c229d904f22819e564cdf151d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
①存在这样的函数,该函数图像上任意两点之间的“曲率”为常数;
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44bbfed9f9a393d712d79cf51c942999.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/316db967a70305dcd846281b29f421db.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a2d520289f2ec0ac94d6e15a3c92b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a89a55c786b314c1de184fcf719eb69.png)
④设
![](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/331d70266454df40256268b19b055a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08aeab36f3c3546b641470aad464ebd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d54d4444cd3d44a4e72c68a6013a21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a1f815b0e0b6516b684a93e1850667.png)
您最近一年使用:0次
解题方法
9 . 在下列命题中
①函数
在定义域内为单调递减函数;
②函数
的最小值为
;
③已知定义在
上周期为4的函数
满足
,则
一定为偶函数;
④已知函数
,则
是
有极值的必要不充分条件;
⑤已知函数
,若
,则
.
其中正确命题的序号为______________ (写出所有正确命题的序号).
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ede389b43c78417912542746d91d00.png)
②函数
![](https://img.xkw.com/dksih/QBM/2015/3/31/1572051952041984/1572051957383168/STEM/1405346a0a20465795c2deddac96cdaa.png?resizew=132)
![](https://img.xkw.com/dksih/QBM/2015/3/31/1572051952041984/1572051957383168/STEM/414997acf4274313b1f096344c63feff.png?resizew=33)
③已知定义在
![](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/b4c01ab30854f54c2514d1a05f779b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
④已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75044e0301ef9def5c1a1c8e6f2cba77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e56f4504e0f80fd031c8b5f41832e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
⑤已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52142482df6bbd431d300f011e3ccb12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ecda7bfb0a2043306bf7707a136ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356704dd58441206abb070f2b8fc0cc8.png)
其中正确命题的序号为
您最近一年使用:0次
12-13高三上·广东中山·期末
10 . 已知函数
的图象与函数g(x)的图象关于直线
对称,令
则关于函数h(x)有下列命题:
①
为图象关于y轴对称; ②
是奇函数;
③
的最小值为0; ④
在(0,1)上为减函数
其中正确命题的序号为 (注:将所有正确命题的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee6881a170f6ef9ed5c133b95c2f448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab44adf3141466c80945ab13c0a2ffe0.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
其中正确命题的序号为 (注:将所有正确命题的序号都填上)
您最近一年使用:0次