1 . 如图,正方体
的棱长为1,有下列四个命题:
①
与平面
所成角为
;
②三棱锥
与三棱锥
的体积比为
;
③过点
作平面
,使得棱
,
,
在平面
上的正投影的长度相等,则这样的平面
有且仅有一个;
④过
作正方体的截面,设截面面积为
,则
的最小值为
.
上述四个命题中,正确命题的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c33c6587f6e6ec7e400046516bb2c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
②三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab9e8d0969ba6da74d8b5b6c1ad993e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd773ebc2e951d18c15a2773e783231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d65e051e943ab28fa57aee2fb57994.png)
③过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
④过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839c7616cd0d90265f4b2c9c021254fe.png)
上述四个命题中,正确命题的序号为
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/16/ab926b11-a8eb-4f5d-861b-cc7c20df6615.png?resizew=152)
您最近一年使用:0次
名校
2 . 已知
,
,则下列命题中所有正确命题的序号为______ .
①存在
,使得
的单调区间完全一致;
②存在
,使得
的零点完全相同;
③存在
,使得
分别为奇函数,偶函数;
④对任意
,恒有
的零点个数均为奇数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/402ce8a613e5f2fbb94a97bbe670638d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f9d0624e29b819bfcf26187ae043db.png)
①存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0e9d1ad9561d693958756ee8398218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
②存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0e9d1ad9561d693958756ee8398218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e513e8e01e8c436b4c8900b31f6cd571.png)
③存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0e9d1ad9561d693958756ee8398218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348655470887ca720aa5a436867dda7e.png)
④对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0e9d1ad9561d693958756ee8398218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348655470887ca720aa5a436867dda7e.png)
您最近一年使用:0次
2019-05-04更新
|
456次组卷
|
2卷引用:【区级联考】北京市海淀区2018-2019学年高二年级第二学期期中考试数学试题
3 . 设a,b∈(0,1)∪(1,+∞),定义运算:
,则以下四个结论:①(2τ4)τ8=8τ(4τ2);②8τ(4τ2)>(8τ4)τ2>(2τ8)τ4;③(4τ2)=(2τ4)τ4<(2τ8)τ4;④
.其中所有正确结论的序号为__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9396f5914fa8705e619698054a3b8495.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c5da3de643d66473c920d7a04cbcce0.png)
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名校
4 . 如图,在棱长为
的正方体
中,
是侧面
内的一个动点(不包含四边形
的边),则下列错误 说法的序号是______ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/73106260-bbfa-4f4c-a897-ef5c2b450c21.png?resizew=157)
①三角形
的面积为定值;
②存在点
,满足
;
③三棱锥
的体积有最大值;
④存在无限个点
,使得三角形
是等腰三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.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/58cc6184b191e6da43911e701121517e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/73106260-bbfa-4f4c-a897-ef5c2b450c21.png?resizew=157)
①三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7850e88507969a07a9515347b97c7b6e.png)
②存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87e8258e0f105cbad09162b480e3ea5.png)
③三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926f0aafa25355ba0c5335dc538f4751.png)
④存在无限个点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7850e88507969a07a9515347b97c7b6e.png)
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2014·江西·一模
名校
5 . 给出下列四个命题:
①
中,
是
成立的充要条件;
②当
时,有
;
③已知
是等差数列
的前n项和,若
,则
;
④若函数
为
上的奇函数,则函数
的图象一定关于点
成中心对称.其中所有正确命题的序号为___________ .
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9178fc8b5d65aa75fa9196294a0db7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e187e1473e72c646dd997f2da29e40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c029618cf11f31cf131e7103f03e183.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac0a9c962b6fa4f453af096cbe347c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e99f3115e46f51f759d0afcbd290765d.png)
③已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b708c8dcb2d66eb2ce0b3718a9cd924a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8941ac03db51a1c00e1f3c679ade4900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a31302692643ac02324cdb1a8ce18011.png)
④若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aca98582d810b822cd99136f7fac9ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c8113286cd3cbe5200e338a7e1651b.png)
您最近一年使用:0次
2018-11-18更新
|
824次组卷
|
9卷引用:2015届江西省红色六校高三第一次联考文科数学试卷
(已下线)2015届江西省红色六校高三第一次联考文科数学试卷(已下线)2015届黑龙江省哈尔滨市六中高三上学期期中考试理科数学试卷2016届福建省仙游一中高三上学期期中考理科数学试卷【全国百强校】黑龙江省双鸭山市第一中学2019届高三上学期第一次月考数学(理)试题山东省济南市历城第二中学2019届高三11月月考数学(文)试题智能测评与辅导[文]-常用逻辑用语2020届西藏自治区拉萨中学高三上学期第三次月考数学(文)试题2020届西藏拉萨中学高三上学期第三次月考数学(理)试题西藏自治区林芝市第二高级中学2021届高三上学期第一次月考数学(理)试题
6 . 已知函数
,给出以下结论:
①曲线
在点
处的切线方程为
;
②在曲线
上任一点处的切线中有且只有两条与
轴平行;
③若方程
恰有一个实数根,则
;
④若方程
恰有两个不同实数根,则
或
.
其中所有正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d45d9505c123cb4d28628625f889af.png)
①曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed18bd80c6c4142f68e89f4ad44570b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f42457c945c02fd46fb018712e73171.png)
②在曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
③若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb2e46f49adba6036e2624639a1b966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ebbb7c4c0d87ca0d8e9860347784236.png)
④若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb2e46f49adba6036e2624639a1b966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c64161ccc7fe8d82a5bb5c35a1469687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7381282a877589bc71d9ba80bba018a.png)
其中所有正确结论的序号为
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7 . 给出以下三个结论:①函数
与
的图象只有一个交点;②函数
与
的图象有无数个交点;③函数
与
的图象有三个交点,其中所有正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0ea22683d6d5cdac7902d98b1c7995c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/996a92bcfc7fb20171fa1768d5ffddb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
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2018-07-14更新
|
238次组卷
|
2卷引用:【全国市级联考】山东省栖霞市2017-2018学年高一下学期期末考试数学试题
8 . 直线
(
为实常数)与曲线
的两个交点
的横坐标分别为
,且
,曲线
在点
处的切线
、
与
轴分别交于点
、
.有下面4个结论:
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df8d926ef98f2f90159f54ddd90dc347.png)
②三角形
可能为等腰三角形;
③若直线
与
轴的交点为
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c212e7f5328ce1df387cb7ec2c8d5dc.png)
④当
是函数
的零点时,
(
为坐标原点)取得最小值.
其中正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac23ae99c4abfd5cf39c9debf9f9356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bd6727b8ab28f05266ac05f75862027.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df8d926ef98f2f90159f54ddd90dc347.png)
②三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
③若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d58e812c6efc3ecba8ce709dce8175f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c212e7f5328ce1df387cb7ec2c8d5dc.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee6663cad490d8581234f254b8ac634b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbbb578e8a1166831cbe4e2671e74194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
其中正确结论的序号为
您最近一年使用:0次
名校
9 . 垃圾分类是保护环境,改善人居环境、促进城市精细化管理、保障可持续发展的重要举措.某小区为了倡导居民对生活垃圾进行分类,对垃圾分类后处理垃圾
(千克)所需的费用
(角)的情况作了调研,并统计得到表中几组对应数据,同时用最小二乘法得到
关于
的线性回归方程为
,则下列正确说法的序号是_____ .
①变量
之间呈正相关关系;
②可以预测当
时,
的值为6.88;
③表中
的值为3.9;
④样本中心点为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb44e7bdf09430ce6bf79868ecef8aaa.png)
![]() | 2 | 3 | 4 | 5 |
![]() | 2 | 2.3 | 3.4 | ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
②可以预测当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ff06692c025b869a7bcdcff15dca9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
③表中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
④样本中心点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432f5f9278e8f2b88a43bec7a6d5a1aa.png)
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2024-02-21更新
|
169次组卷
|
2卷引用:陕西省咸阳市实验中学2021-2022学年高二下学期阶段性检测(一)数学(文)试题
名校
10 . 在三棱锥
中,给出下面四种说法:
①若
,则
在底面的射影为
外心
②若
,
,
,则
在底面的射影为
的垂心
③若
,
,
与底面所成的角相等,则
在底面的射影为
的重心
④三个侧面
,
,
与底面所成二面角相等,则
在底面的射影为
的内心,其中所有正确说法的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700f2f0f1cf306f7fc18d18fe91d0acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5fd36febe2821b31ba016de4b04b9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/878287dcfc8c30ec0f5acad9225d2c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a9de1108c83a16cb3c52b6e891e12ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4db9b82b67efe45a02fca32bfcf5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
④三个侧面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9c9cfa597b444b5c9dbae7a825a695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21665d21bbfb04410c78345de1fd15ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc6f6dfdbe7d39891c35f67e1a95c7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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