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
|
526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首师大附中2021届高三4月份高考数学模拟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(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
20-21高一下·江苏南通·开学考试
3 . 给出下列命题:
①若函数
的定义域为
,则函数
的定义域为
;
②函数
在定义域内单调递增;
③若定义在
上的函数
满足
,则
是以2为周期的函数;
④设常数
,函数
若方程
有三个不相等的实数根
,
,
,且
,则
的值域为
.
其中正确命题的序号为_____ .
①若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1924f683f9c883587b48ccddd8f00f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82dee78784d1b1841d8ed52c47a8163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0fa5d8301f4b34a10f98b5929667357.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/457eb5e0000350b102d387a80cf3476b.png)
③若定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e13b0ca1f02740b1d1b41e469b966e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
④设常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02cf2238baf71c8a83e056c3a315e985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c342d52fc26cc550a45b80756903bee6.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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f097865549154b7196a695ce297b29a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec11fcbacb03a3a801e524952e67b308.png)
其中正确命题的序号为
您最近一年使用:0次
4 . 设α、β为互不重合的平面,m,n是互不重合的直线,给出下列四个命题:
①若m∥n,则m∥α;
②若m⊂α,n⊂α,m∥β,n∥β,则α∥β;
③若α∥β,m⊂α,n⊂β,则m∥n;
④若α⊥β,α∩β=m,n⊂α,m⊥n,则n⊥β;
其中正确命题的序号为_____ .
①若m∥n,则m∥α;
②若m⊂α,n⊂α,m∥β,n∥β,则α∥β;
③若α∥β,m⊂α,n⊂β,则m∥n;
④若α⊥β,α∩β=m,n⊂α,m⊥n,则n⊥β;
其中正确命题的序号为
您最近一年使用:0次
名校
5 . 已知
、
是异面直线,给出下列结论:
①一定存在平面
,使直线
平面
,直线
平面
;
②一定存在平面
,使直线
平面
,直线
平面
;
③一定存在无数个平面
,使直线
与平面
交于一个定点,且直线
平面
.
则所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
①一定存在平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebe623bd25476a860fa4c2a179b81464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8edaf5492ffc6db02fd5968b643c8b63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
②一定存在平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764b59b077bda19d131095b454942d6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8edaf5492ffc6db02fd5968b643c8b63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
③一定存在无数个平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8edaf5492ffc6db02fd5968b643c8b63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
则所有正确结论的序号为( )
A.①② | B.② | C.②③ | D.③ |
您最近一年使用:0次
2020-03-21更新
|
448次组卷
|
3卷引用:江苏省南通市2019-2020学年高二上学期期初调研测试数学试题
名校
6 . 已知函数f(x)=
(x∈(-1,1)),有下列结论:
(1)∀x∈(-1,1),等式f(-x)+f(x)=0恒成立;
(2)∀m∈[0,+∞),方程|f(x)|=m有两个不等实数根;
(3)∀x1,x2∈(-1,1),若x1≠x2,则一定有f(x1)≠f(x2);
(4)存在无数多个实数k,使得函数g(x)=f(x)-kx在(-1,1)上有三个零点
则其中正确结论的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2027a021b14e1dcf29fa38532580a318.png)
(1)∀x∈(-1,1),等式f(-x)+f(x)=0恒成立;
(2)∀m∈[0,+∞),方程|f(x)|=m有两个不等实数根;
(3)∀x1,x2∈(-1,1),若x1≠x2,则一定有f(x1)≠f(x2);
(4)存在无数多个实数k,使得函数g(x)=f(x)-kx在(-1,1)上有三个零点
则其中正确结论的序号为
您最近一年使用:0次
名校
7 . 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
8 . 下列结论:
“直线l与平面
平行”是“直线l在平面
外”的充分不必要条件;
若p:
,
,则
:
,
;
命题“设a,
,若
,则
或
”为真命题;
“
”是“函数
在
上单调递增”的充要条件.
其中所有正确结论的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c512c047783c07da1d4f4455a4033ef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/876959b9f90f2379cf3d0927a8e31005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bded4e08a5c75fd82f1868c9f4c5b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3719d2ca3c5877bafc18f58c1fdf4b3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4690a619a829c621fb7cd1e98df13f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbdf492b48e5da4602f2bde199deae4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3bc9e7fe40882f2f79bcf8d87a7f031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67773252101fb3704fdac88b5f3f1bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bea9391c115618bb84a7aa3da8a242d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60dbdf0c087ab6be44595a5ca285acbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd594e99f82b7736c44e18b2721e607f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10baec9d907f3ccb3f64ad3de53a589d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74269cfb503e736149e1ac3165fcbafa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89e1ee3b8e2751f354aa5ab7135c75b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b3de9d6894829d7de515544cd6cd2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8fe868d4152f599a9ae5a0dae150cb0.png)
其中所有正确结论的序号为
您最近一年使用:0次
2019-03-18更新
|
638次组卷
|
3卷引用:【市级联考】江苏省海门市2018-2019学年高二上学期期末联考数学(理)试题
名校
9 . 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
10 . 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