1 . 已知
,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca58cb5c8b35d8acb659a69f41d6bcd.png)
A.若![]() ![]() | B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() | D.若![]() ![]() |
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2 . 对不等式组
的解集为
,有下面四个命题:①对于任意
,都有
;②存在
,使得
;③对于任意
,都有
;④存在
,使得
,其中的真命题是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dbab765668bff68f8bbb8bf719420a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9152d156377269aee29c70de2fd7e83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbe7566fcfda912e69a8f7c0e34925c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9152d156377269aee29c70de2fd7e83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e7361fcea90ee81d4d5a86d1e41035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9152d156377269aee29c70de2fd7e83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da1f811f3b2fc5c7c11b91a95255c39c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9152d156377269aee29c70de2fd7e83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f37c57d0a9131e8bc0f4d7100fedd74.png)
A.②③ | B.①② | C.①④ | D.①③ |
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3 . 对于函数
给出下列四个命题:
①该函数的值域为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
②当且仅当
时,该函数取得最大值![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
③该函数是以
为最小正周期的周期函数
④当且仅当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
上述命题中,假命题的序号是______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e6c32f376cc4d2acca842c5aba64a4.png)
①该函数的值域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
②当且仅当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e76551add4e28026e096a103763d322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
③该函数是以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
④当且仅当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dacca0f0ffe7c447729971e0b12ad0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
上述命题中,假命题的序号是
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4 . 以下四个命题中,真命题的个数为( )
(1)若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c21492566b190fe5f8cc4c09e0322d39.png)
(2)在
中,若
,则
为等腰三角形
(3)若
,那么
是第一或第二象限角
(4)若
,则
是锐角
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b68947b00b0cbdfe57ceda72ed09e59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c21492566b190fe5f8cc4c09e0322d39.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/785d5142ca128f132dc1bbbb02a4b2e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ff0fcbb9f3fb47e8e7e484e7b32ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7447e8dad4b464afe45034b62b3be4c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
A.0个 | B.1个 | C.2个 | D.3个 |
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5 . 数列
中,若
,则下列命题中真命题个数是( )
(1)若数列
为常数数列,则
;
(2)若
,数列
都是单调递增数列;
(3)若
,任取
中的
项
构成数列
的子数
(
),则
都是单调数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6828e5ae7104f4cf73337536bc02c94.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6990e60949881829c2c334eb40ce760d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882b660047bb6ded500cedba57958e00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/774891ed3a49afbc2c87cca80a1e4752.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c9e5fb431bcae1c560e5ea55ed35644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec07a126ada2c921c5b4337f77854cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1432ec910f245d324bda02930c92311d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec07a126ada2c921c5b4337f77854cf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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17-18高一下·上海浦东新·期末
名校
6 . 已知等比数列
的首项为
,公比为
,其前
项和为
,下列命题中正确的是______ .(写出全部正确命题的序号)
(1)等比数列
单调递增的充要条件是
,且
;
(2)数列:
,
,
,……,也是等比数列;
(3)
;
(4)点
在函数
(
,
为常数,且
,
)的图像上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390636a89883bd64bf8da9bf8654aff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda6dc559d07bc22c9a0ed1e3a6d01d2.png)
(2)数列:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5188d6760683a860adab0cda195cdf80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd6fe11dfa538e67bfd63478fc428a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc95c7c5bf205aa69d6bf0d3b625deb.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a43b528553ce3d88f18c71fb315fb5.png)
(4)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41f32693d25ece7f8e22c34a183537f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c85463404c74088c22fb545f83879a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba96e0bb57a399870a99b41c96ce540.png)
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7 . 设S为复数集C的非空子集,若对任意
,都有
,则称S为封闭集.下列命题:①集合
为整数,i为虚数单位)}为封闭集;②若S为封闭集,则一定有
;③封闭集一定是无限集;④若S为封闭集,则满足
的任意集合T也是封闭集.其中真命题的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c36aecba41f6f5ff0d46a29dccaaf01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced3ae86527d84d5cfc6f78eaa33de24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea7cb87287b65f50549f4c97734ed49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1330666c9b3d23a6fd9b25380270a1a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f0e8b1ffee974f4cb6afc2cfd8220fa.png)
A.1 | B.2 | C.3 | D.4 |
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8 . 已知两个不相等的非零向量
,
,两组向量
,
,
,
,
和
,
,
,
,
,均由2个
和3个
排列而成,记
,
表示S所有可能取值中的最小值,则下列命题正确的是________ .(写出所有正确命题的编号)
①S有5个不同的值;②若
,则
与
无关;③若
,则
与
无关;④若
,则
;⑤若
,
,则
与
的夹角为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45c034bfaa833d3faeb23f90f4914424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9523eaa01ff765ed44325c749289baa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a69cc748aadb9a756deff35dfea4650.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f8dfc2ae109b8b84b0edc9495c845.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff1b3c55cc1be6a1849628beea81d74f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8348b304da0389e350a1b6f17b5529a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7c1d2686cd77a35f825ffbb202e6ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dd3075462ffa0087ea568eb07cb5577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/171cf18992baca3c7ed57afe6fe20240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f832e0be56d26fed070802fba7a70cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f15f0143eb0ddbd25af84f4262d364a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494f173fed024b28d9e2bc7a96362d3d.png)
①S有5个不同的值;②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494f173fed024b28d9e2bc7a96362d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94d723baf90e91b4691a2dcdd8f2a53e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6433f98b702100f5fba0844361be7051.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494f173fed024b28d9e2bc7a96362d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad52cc8dadc46aa45143c633fadaed20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d614f8cc8b94697a8e792a193241d17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba4b77e77f7b2d0fc8187985a57c9902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c998b0abdfcad8d426b532478d94d7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e393110d220f3bd71cca34fb9a4089.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
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解题方法
9 . 关于曲线
:
的下列说法:①关于原点对称;②关于直线
对称;③是封闭图形,面积大于
;④不是封闭图形,与圆
无公共点;⑤与曲线D:
的四个交点恰为正方形的四个顶点,其中正确的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfee5c6a0ba2ef732c5ae8679844f153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f1a686b80b8f109a929f58c2de7201d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e9fdc1f8ed0ae44b54a9a2a3aca2db4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d61985901c2bc698d72ac88f4e1eb65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2c123b5e620408009e9b9166d08648.png)
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
2020-02-06更新
|
281次组卷
|
2卷引用:2018届上海市大同中学高三上学期期中数学试题
2019·上海浦东新·三模
名校
10 . 若函数f(x)满足:f(|x=|f(x)|,则称f(x)为“对等函数”,给出以下三个命题:
①定义域为R的“对等函数”,其图象一定过原点;
②两个定义域相同的“对等函数”的乘积一定是“对等函数”;
③若定义域是D的函数y=f(x)是“对等函数”,则{y|y=f(x),x∈D}⊆{y|y≥0};
在上述命题中,真命题的个数是( )
①定义域为R的“对等函数”,其图象一定过原点;
②两个定义域相同的“对等函数”的乘积一定是“对等函数”;
③若定义域是D的函数y=f(x)是“对等函数”,则{y|y=f(x),x∈D}⊆{y|y≥0};
在上述命题中,真命题的个数是( )
A.0 | B.1 | C.2 | D.3 |
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