2012·四川自贡·三模
1 . 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
2010·辽宁·一模
解题方法
2 . 已知函数
是
上的偶函数,对任意
,都有
成立,当
且
时,都有
给出下列命题:
①
且
是函数
的一个周期;
②直线
是函数
的一条对称轴;
③函数
在
上是增函数;
④函数
在
上有四个零点.
其中正确命题的序号为_____ (把所有正确命题的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b54a16fd78a5464d7944e374552ed80b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16014834857c7ad49afc420095b5239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee798d2d512f7342c55a0d580f4367e2.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db7707d6b2754808adefc9b2fb976a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ffd26ee71de49bd8c5deba8f623159.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041da7ce47a2aedda53953794fdbd3dc.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4695c34aafd1c1ae276f9eddc53a397d.png)
其中正确命题的序号为
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19-20高一·浙江杭州·期末
3 . 对于函数
定义域中任意的
有如下结论:
(1)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d24c9ac3a4bb96db1f17b2dce595359.png)
(3)
(4)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a04fa2a0581911b801a43f0726a03aad.png)
(5)若方程
有解,则方程的所有根之积为1
(6)若方程
有解,则方程的所有根之积不是常数
当
时,上述结论正确的序号为______ .(注:把你认为正确的命题的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9f58d4591d668b4bc32fae4faab8298.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8514510dc90cc3a46e6416f67d5a3883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d24c9ac3a4bb96db1f17b2dce595359.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698cf53f76a1d637dfe2732d0a866eec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a04fa2a0581911b801a43f0726a03aad.png)
(5)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a54ffc80b5fe4e2b1e215d1243e009.png)
(6)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a54ffc80b5fe4e2b1e215d1243e009.png)
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f5f8d2a47f0372ecadf73dfcfc39cd5.png)
您最近一年使用:0次
名校
4 . 已知函数
,有下列结论:
①
,等式
恒成立;
②
,方程
有两个不等实根;
③
、
,若
,则一定有
;
④存在无数多个实数
,使得函数
在
上有三个零点.
则其中正确结论序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed38d89c34a21860287df306e9f3670.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b398653977a7e83326b32a716f89715a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d3dfb9993f0852e443ea196e974013d.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3550045493995a319b81b98a27bf6ffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ffd05445e62cf6352e48d073fac779.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/673207f6b77b8192d25463d071737b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c96a3141bc9fee638c69b3ed1dec7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f27822887caad20f3a075ca2fb74155c.png)
④存在无数多个实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ce93b9f0ea8d7e3a5e4a4f2fcacf45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b61bb7cb94b4d06f0090df1e365667.png)
则其中正确结论序号为
您最近一年使用:0次
2021-11-19更新
|
885次组卷
|
4卷引用:浙大附中玉泉、丁兰2022-2023学年高一上学期期中数学试题
浙大附中玉泉、丁兰2022-2023学年高一上学期期中数学试题北京市中关村中学2021-2022学年高一上学期期中阶段学情调研数学试题(已下线)第8章 函数应用 单元综合检测(难点)(单元培优)-2021-2022学年高一数学课后培优练(苏教版2019必修第一册)广东省三校联考2023-2024学年高一上学期期中数学试题
9-10高二下·江西新余·阶段练习
5 . 对于曲线C:
给出下面四个命题:
①曲线C不可能表示椭圆;
②当
时,曲线C表示椭圆;
③若曲线C表示双曲线,则
或![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784929886208/1569784934670336/STEM/251cbabe54e140d281b0d9c84dc06e9b.png?resizew=39)
④若曲线C表示焦点在
轴上的椭圆,则![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784929886208/1569784934670336/STEM/32e3e517d7c64bf7860c5178ca7cdb45.png?resizew=63)
其中所有正确命题的序号为______________
![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784929886208/1569784934670336/STEM/d12fe525f35c45a79b51360540a5d4c7.png?resizew=108)
①曲线C不可能表示椭圆;
②当
![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784929886208/1569784934670336/STEM/f2013ce21044405ea43183b322041cb0.png?resizew=60)
③若曲线C表示双曲线,则
![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784929886208/1569784934670336/STEM/8dd5f2c41ae94164b458b4b878524670.png?resizew=35)
![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784929886208/1569784934670336/STEM/251cbabe54e140d281b0d9c84dc06e9b.png?resizew=39)
④若曲线C表示焦点在
![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784929886208/1569784934670336/STEM/a821bd9c2ceb452c9860fbecc46a081e.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784929886208/1569784934670336/STEM/32e3e517d7c64bf7860c5178ca7cdb45.png?resizew=63)
其中所有正确命题的序号为
您最近一年使用:0次
名校
6 . 研究变量x,y得到一组样本数据,进行回归分析,有以下结论:
①残差平方和越小的模型,拟合的效果越好;
②用相关指数
来刻画回归效果,
越小说明拟合效果越好;
③若变量y和x之间的相关系数为
,则变量y和x之间的负相关很强;
④残差点比较均匀地落在水平的带状区域中,说明选用的模型比较合适.
以上正确说法的序号是______________ .
①残差平方和越小的模型,拟合的效果越好;
②用相关指数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c85067c53e936ef32da818efe04bdbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c85067c53e936ef32da818efe04bdbb.png)
③若变量y和x之间的相关系数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0903883bbad97cb553e6a803deb5e331.png)
④残差点比较均匀地落在水平的带状区域中,说明选用的模型比较合适.
以上正确说法的序号是
您最近一年使用:0次
2023-03-10更新
|
494次组卷
|
4卷引用:浙江省杭州市之江高级中学2022-2023学年高二下学期期中数学试题
浙江省杭州市之江高级中学2022-2023学年高二下学期期中数学试题安徽省芜湖市第一中学2018-2019学年高二下学期期中理科数学试题(已下线)4.2 一元线性回归模型(同步练习)-【素养提升—课时练】2022-2023学年高二数学湘教版选择性必修第二册检测 (基础篇)(已下线)8.2 一元线性回归模型及其应用(题型专训)-2022-2023学年高二数学同步精品课堂(人教A版2019选择性必修第三册)
19-20高一·浙江杭州·期末
7 . 一副三角板由一块有一个内角为60°的直角三角形和一块等腰直角三角形组成,如图所示,
,
,
,
,现将两块三角形板拼接在一起,得三棱锥
,取BC中点O与AC中点M,则下列判断中正确的是__________ .(填正确判断的序号)
![](https://img.xkw.com/dksih/QBM/2020/12/22/2619899053588480/2620217758253056/STEM/c656438f9b1e4ae89726ea578225ee1d.png?resizew=412)
①直线BC
面OFM;
②AC与面OFM所成的角为定值;
③设面
面MOF
,则
∥AB;
④三棱锥
的体积为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a180fe8460e84c45ef1b2c2bb6faeca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b8b98b2f83279a49e94d9f48c5e6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4a288554fe25fe0a72530eb29756e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5adc18ca424552b35ab939e9d57943e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a94c78d07395bd0379acf93e0a334b7f.png)
![](https://img.xkw.com/dksih/QBM/2020/12/22/2619899053588480/2620217758253056/STEM/c656438f9b1e4ae89726ea578225ee1d.png?resizew=412)
①直线BC
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
②AC与面OFM所成的角为定值;
③设面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ff820e40116004fdc70b5705e96f6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb31f790b59c2f76870aa8ccea8ee83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
④三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56483215e82532acdb352bcee95ac98.png)
您最近一年使用:0次
8 . 如图,在正方体
中,点
在线段
上移动,有下列判断:①平面
平面
;②平面
平面
;③三棱锥
的体积不变;④
平面
.其中,正确的是______ .(把所有正确的判断的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0f8ab808f594f9d202692b3d3b10ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4508dc6d9c91157836be679c0543cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0967be82a243f285728d50e7b81332f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4508dc6d9c91157836be679c0543cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ad253c20630cb956229ee3431fc8be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca3ec3133707610164d237ac979a268d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4508dc6d9c91157836be679c0543cac.png)
![](https://img.xkw.com/dksih/QBM/2020/1/5/2370738235064320/2371404224421888/STEM/60ed8df41e8c44b48e6e147ec840cff0.png?resizew=117)
您最近一年使用:0次
2020-01-06更新
|
1403次组卷
|
10卷引用:【新东方】杭州新东方高中数学试卷334
(已下线)【新东方】杭州新东方高中数学试卷334四川省资阳市2019-2020学年高三上学期第二次诊断考试数学(文)试题四川省广安遂宁资阳等七市2019-2020学年高三上学期第一次诊断性考试数学(文)试题2020届四川省眉山市高三第一次诊断性考试数学(文)试题2020届高三1月(考点07)(文科)-《新题速递·数学》四川省雅安市2020届高三第一次诊断性考试数学(文)试题(已下线)调研测试二(A卷 基础过关 检测)-2021年高考数学(文)一轮复习单元滚动双测卷广西柳江中学2021届高三(11月6日)一模模拟考数学文科试题云南省大理州2021届高三二模数学(理)试题吉林省通化市部分重点中学校2021-2022学年高一下学期期末数学试题
14-15高一上·湖南·期末
9 . 在平面直角坐标系内,设
、
为不同的两点,直线
的方程为
, 设
有下列四个说法:
①存在实数
,使点
在直线
上;
②若
,则过
、
两点的直线与直线
平行;
③若
,则直线
经过线段
的中点;
④若
,则点
、
在直线
的同侧,且直线
与线段
的延长线相交
上述说法中,所有正确说法的序号是_____________
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/f04ec3c0af7e4d2f9e230d8dfdce1a53.png?resizew=67)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/efadc7f0be644e829aca6f2026d81594.png?resizew=67)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/844046db10fc4179ba8f3bb4b5f4e832.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/c5e37406297c4cc0b7a3a3977001c165.png?resizew=99)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/12d4558f9ca74d0391b0c3e19d8ba5d1.png?resizew=117)
①存在实数
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/b2a6ae7937424fb785f53e040aac9f3b.png?resizew=15)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/ceacd8043356434a835a6434856ddce3.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/844046db10fc4179ba8f3bb4b5f4e832.png?resizew=9)
②若
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/3eecf3a886884412b0e438e21231171b.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/8aab72ce677146d191625325eef9351b.png?resizew=21)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/ceacd8043356434a835a6434856ddce3.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/844046db10fc4179ba8f3bb4b5f4e832.png?resizew=9)
③若
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/0ee1eee61ac14a10914e8d2d17de77b4.png?resizew=47)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/844046db10fc4179ba8f3bb4b5f4e832.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/87e7a3ca0b2441a6aab5f3d60f715a74.png?resizew=31)
④若
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/5791add589924e8cacfaf9ceeb324072.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/8aab72ce677146d191625325eef9351b.png?resizew=21)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/ceacd8043356434a835a6434856ddce3.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/844046db10fc4179ba8f3bb4b5f4e832.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/203e1bf9fdaf441a827a51c2bff2fce9.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/87e7a3ca0b2441a6aab5f3d60f715a74.png?resizew=31)
上述说法中,所有正确说法的序号是
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