名校
1 . 下列说法中不正确 的序号为_______ .
①若函数
在
上单调递减,则实数
的取值范围是
;
②函数
是偶函数,但不是奇函数;
③已知函数
的定义域为
,则函数
的定义域是
;
④若函数
在
上有最小值-4,(
,
为非零常数),则函数
在
上有最大值6.
①若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6203ce7c83077e5f6b4a71f5dca880c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf266ee97a956516cb6b144aad56686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab8ab64ada60db3c9c0474ee5cee890c.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86b7611a3ad0113177b51d45a3cbf8e.png)
③已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ba845cf4bbf832a990b97d5378fcaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74cb1a3df9a051174f9e180d6bcbb7b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db40d5295942e85ec07a3728c7ad308d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ad6bc8afe6f7a31a049e8d80e2b9d04.png)
④若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6071521f5c4049f1ea3d323ff7d2fd33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6f160a1be021b027bf59caa520d762d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db40d5295942e85ec07a3728c7ad308d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/352252df126f03cab1ca7105809dd127.png)
您最近一年使用:0次
名校
2 . 定义:如果函数
在
上存在
,
,满足
,则称数
,
为
的上的“对望数”,函数
为
上的“对望函数”,给出下列四个命题:
①二次函数
在任意区间
上都不可能是“对望函数”;
②
为
上的“对望函数”,则
在
上不单调;
③函数
是
上的“对望函数”;
④函数
是
上的“对望函数”;
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/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2151e6ca1843b9457b8a47349467160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36adc4ecc55f14b9069c6657c0df6ca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
①二次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10eb13ecc3eb6d6c155882e0b70b083d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd56f8d9a837e2d69eb075563083ca35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d71f56ef6906bc37ca312051d97d4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c627fffd029aace8c83ab69c7951a0e7.png)
其中正确命题的序号为
您最近一年使用:0次
2022-01-02更新
|
525次组卷
|
7卷引用:江苏省南通市如皋市2023-2024学年高三上学期9月诊断测试数学试题
(已下线)江苏省南通市如皋市2023-2024学年高三上学期9月诊断测试数学试题湖南省湘潭一中、双峰一中,邵东一中2019-2020学年高二下学期联考数学试题北京市第五中学2022届高三12月第二次阶段考试数学试题北京市首师大附中2021届高三4月份高考数学模拟试题(已下线)专题3.2 模拟卷(2)-2022年高考数学大数据精选模拟卷(新高考地区专用)上海市嘉定第二中学2024届高三上学期期中数学试题辽宁省朝阳市育英高级中学2022届高三上学期期末数学试题
名校
解题方法
3 . 已知圆
与圆
,在下列说法中:
①对于任意的
,圆
与圆
始终相切;
②对于任意的
,圆
与圆
始终有四条公切线;
③
时,圆
被直线
截得的弦长为
;
④
分别为圆
与圆
上的动点,则
的最大值为4
其中正确命题的序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f1dc81fb995b3023d56f82ff964a30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61a2314d1f465b9940f08e0b5f55f88a.png)
①对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe211e0dea7a44863e5e1706633c3aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211b9e53e4677ae9e2b20d5f7ce0a4e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a52e26180930ad5b56a8a45f28a0f2.png)
②对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe211e0dea7a44863e5e1706633c3aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211b9e53e4677ae9e2b20d5f7ce0a4e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a52e26180930ad5b56a8a45f28a0f2.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee117579f5fc3944bbf7f342f50e450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211b9e53e4677ae9e2b20d5f7ce0a4e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/601d4c79cdabd1a49a6b8e6d026e663f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef812f839622326a7d7027cc806aaeb.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b09e2d46f94b9ca3caf3f8283619c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211b9e53e4677ae9e2b20d5f7ce0a4e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a52e26180930ad5b56a8a45f28a0f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af2a0f156c21a6d3387e9c5a15b373d1.png)
其中正确命题的序号为
您最近一年使用:0次
2022-10-13更新
|
974次组卷
|
8卷引用:江苏省无锡市南菁高级中学2023-2024学年高二上学期10月月考数学试题
4 . 如图,正方体
的棱长为
,
分别是棱
,
的中点,过点
的平面分别与棱
,
交于点G,H,给出以下三个命题:
![](https://img.xkw.com/dksih/QBM/2022/5/9/2975877629870080/2977747867877376/STEM/9658becc-e915-41aa-a5cf-73030600baa8.png?resizew=195)
①平面
与平面
垂直;
②四边形
的面积的最小值为
;
③四棱锥
的体积为定值
.
其中正确命题的序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://img.xkw.com/dksih/QBM/2022/5/9/2975877629870080/2977747867877376/STEM/9658becc-e915-41aa-a5cf-73030600baa8.png?resizew=195)
①平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1522a9c3b2466395570c2689a4055584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2bf9ef324f1289e205e29fed105c38e.png)
②四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1522a9c3b2466395570c2689a4055584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
③四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11719e323e73b9512869d6aca6aaae75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6486784415f3537c9a13556c05d893.png)
其中正确命题的序号为
您最近一年使用:0次
2022-05-12更新
|
416次组卷
|
4卷引用:江苏省扬州市仪征市精诚高级中学2022-2023学年高三上学期10月月考模考数学试题
名校
5 . 关于函数
,有以下四个结论:
①函数恒有两个零点,且两个零点之积为
;
②函数恒有两个极值点;
③函数的极值点不可能是
;
④函数既没有最小值,也没有最大值.
其中正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a83689428b86a82202c4d539a4615b4.png)
①函数恒有两个零点,且两个零点之积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
②函数恒有两个极值点;
③函数的极值点不可能是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
④函数既没有最小值,也没有最大值.
其中正确结论的序号为( )
A.① | B.② | C.③ | D.④ |
您最近一年使用:0次
名校
6 . 已知函数
,有下列结论:
①任意的
,等式
恒成立;
②任意的
,方程
有两个不等实根;
③任意的
,若
,则一定有
;
④存在无数个实数
,使得函数
在
上有
个零点.
其中正确结论的序号为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd22d668a9cb5b1300ca4d536f8660f.png)
①任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998d1117b68d345ad988e86d1ec7724b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdb558e17c9818610772917878d82d03.png)
②任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e233c52e0f1291688ca2d342bd41f8f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07c21c4465fc007e3ecd8ea8a9c886b1.png)
③任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/905b41adbb949cc3fc8e09ebe0a26cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/944421b28029c19553588b7b988f0870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360880b267f405ee5900bcbda6c9576b.png)
④存在无数个实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab6b28c29a9e823cf1d6c764323d7e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
其中正确结论的序号为
您最近一年使用:0次
名校
7 . 历史上,许多人研究过圆锥的截口曲线.如图,在圆锥中,母线与旋转轴夹角为
,现有一截面与圆锥的一条母线垂直,与旋转轴的交点
到圆锥顶点
的距离为
,对于所得截口曲线给出如下命题:
①曲线形状为椭圆;
②点
为该曲线上任意两点最长距离的三等分点;
③该曲线上任意两点间的最长距离为
,最短距离为
;
④该曲线的离心率为
.其中正确命题的序号为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/8bbb22a4-8c3f-49fd-b3cf-cf5375c6fc4e.png?resizew=153)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
①曲线形状为椭圆;
②点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
③该曲线上任意两点间的最长距离为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b87ecc72d8130ea6b4fe0512837345b.png)
④该曲线的离心率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/8bbb22a4-8c3f-49fd-b3cf-cf5375c6fc4e.png?resizew=153)
A.①②④ | B.①②③④ | C.①②③ | D.①④ |
您最近一年使用:0次
2019-05-05更新
|
646次组卷
|
4卷引用:江苏省南通市如皋市2021-2022学年高二上学期第一次调研测试模拟演练数学试题
(已下线)江苏省南通市如皋市2021-2022学年高二上学期第一次调研测试模拟演练数学试题【校级联考】2019年春“荆、荆、襄、宜四地七校考试联盟”高二期中联考理科数学试题(已下线)北京市海淀区2023届高三上学期期末练习数学试题变式题6-10河南省安阳市第一中学2023届高三第四次全真模拟数学试题
8 . 下列关于直线
和平面
的四个命题中:
(1)若
,
,则
;(2)若
,
,
,则
;
(3)若
,
,
,则
;(4)若
,
,则
.
所有正确命题的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b15bd315b801f71bc30b8d772098614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ba83980a38c5e1fe4be841bc8a51d1d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048e833e0c0995d4cf039ed30ba38b56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27e13118bd6b2a419a18992b1877dbed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfefa5d15ec71994fa5aa91ea10d870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfefa5d15ec71994fa5aa91ea10d870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e29247633f040a72a8ea6b733a5e37c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238f509e26564449419d6375a0894d45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048e833e0c0995d4cf039ed30ba38b56.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/687b2fd8d6280e26f623c73c68454d4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c4e97ef0d612e8ecc334d838e53ee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac84eb9ece2e7e8d12fb884ce206156.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfefa5d15ec71994fa5aa91ea10d870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfefa5d15ec71994fa5aa91ea10d870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb083c827a7fffbff90916dea20570f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/526985744fe472beef406c56b531ef85.png)
所有正确命题的序号为
您最近一年使用:0次
2018-12-31更新
|
356次组卷
|
2卷引用:【市级联考】江苏省南通市如皋2018-2019学年高二上学期教学质量调研(三)数学(理科)试题
名校
9 . 若定义在
上的函数
,其图像是连续不断的,且存在常数
使得
对任意实数
都成立,则称
是一个“
特征函数”.则下列结论中正确命题序号为__________ .
①
是常数函数中唯一的“
特征函数”;
②
不是“
特征函数”;
③“
特征函数”至少有一个零点;
④
是一个“
特征函数”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6942e67b25fc7d2e0b140c5ee47c4305.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3992d93b8257ca1c354b4c47d7e7afb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196027d4251842f18ad7a788e41e1383.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196027d4251842f18ad7a788e41e1383.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bff9681471371af6e3d0934caee1004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196027d4251842f18ad7a788e41e1383.png)
③“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35ec2a086710bd96dd580768274db9f5.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d70266454df40256268b19b055a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196027d4251842f18ad7a788e41e1383.png)
您最近一年使用:0次
2018-03-07更新
|
308次组卷
|
2卷引用:江苏省泰州市泰州中学2019-2020学年高一上学期第二次检测数学试题
名校
解题方法
10 . 已知函数
,给出下列判断:
①函数
的最小正周期为
;
②函数
是偶函数;
③函数
关于点
,
成中心对称;
④函数
在区间
上是单调递减函数.
其中正确的判断是___ .(写出所有正确判断的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1460e4a1178391ab692aa0af66b915b5.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a271d51ad726d559e78e5f56e923d366.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecea618e607a053acb4e9953a7c84840.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232d1ce3ad14256b1543e6007ff1675d.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7b4322acda2345dab5d17ec7548ea5.png)
其中正确的判断是
您最近一年使用:0次