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解题方法
1 . 如图所示,在长方体
中,
,点
是棱
上的一个动点,若平面
交棱
于点
,给出下列命题:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/cc4fce1e-276b-4eed-9181-b794bbb34d6d.png?resizew=184)
①四棱锥
的体积恒为定值;
②存在点
,使得
平面
;
③对于棱
上任意一点
,在棱
上均有相应的点
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
平面
;
④存在唯一的点
,使得截面四边形
的周长取得最小值.
其中真命题的是_____________ . (填写所有正确答案的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b378805114b83f76fcece53698a28d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dce95726804cf91de63f07b37c65da6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252053b853152bd294a8315debd00b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb16f7dbc4b9993c4efa0764df1d8ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6e92aadc02ae971ed29bb2db51b012f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17230625e72d3a9c6d72ff61019ff61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655b6a742dbacdab5aaa298007663dd4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/cc4fce1e-276b-4eed-9181-b794bbb34d6d.png?resizew=184)
①四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb7c649d4bbd61eaef51e529ef9b1204.png)
②存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252053b853152bd294a8315debd00b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29bac4ff764651106d9ab46855f20331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7759e75f16985d39b854e45774f06a86.png)
③对于棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb16f7dbc4b9993c4efa0764df1d8ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252053b853152bd294a8315debd00b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c23c66ab7d74f51cb4b79d1029fb38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc3e8a1475b983d1a4295db0e16d4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7003aee0b4b85f0fdd48ca9ae5826d54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85bed42b435afda8e8c47dd0da8e4a1f.png)
④存在唯一的点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252053b853152bd294a8315debd00b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422676748fd5d893c0e4331fee24e473.png)
其中真命题的是
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11卷引用:湖南省邵阳市邵东县第十中学2020届高三下学期模拟考试数学(理)试题
湖南省邵阳市邵东县第十中学2020届高三下学期模拟考试数学(理)试题黑龙江省大庆市大庆实验中学2019-2020学年高三上学期期中数学(文)试题四川省内江市2019-2020学年高二上学期期末数学(理)试题黑龙江省鹤岗市第一中学2020-2021学年高二10月月考数学(理)试题河北省张家口市第一中学2021届高三(衔接班)上学期期中数学试题宁夏银川一中2021届高三第六次月考数学(理)试题(已下线)专题4.5 立体几何中探索性问题-玩转压轴题,进军满分之2021高考数学选择题填空题宁夏银川一中2021届高三第六次月考数学(文)试题四川省成都市第八中学校2022-2023学年高三上学期第一次摸底考试文科数学试题河南省顶级名校2022-2023学年高三上学期12月摸底考试数学(文)试题(已下线)模块三 专题3 小题满分挑战练(3)(人教B)
名校
2 . 已知
是方程
的两根,有以下四个命题:
甲:
;
乙:
;
丙:
;
丁:
.
如果其中只有一个假命题,则该命题是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab0e25cb7c556f914e6bc15727ae556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/807d62d0b5623b3bd3cb285560bf8436.png)
甲:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323b7f3471b88f3aabfe484237b0c4a0.png)
乙:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b968feb4525e63d49b8813e451fd2a.png)
丙:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd0253273cfbc71db89a691bf2590a.png)
丁:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a99489324dc2f0cd0f29f82d2b180df0.png)
如果其中只有一个假命题,则该命题是( )
A.甲 | B.乙 | C.丙 | D.丁 |
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6卷引用:山东省淄博市部分学校2023届高三下学期4月阶段性诊断考试数学试题
3 . 下列说法正确的是( )
A.命题“![]() ![]() ![]() ![]() |
B.命题“不等式![]() ![]() |
C.“若![]() ![]() |
D.若![]() ![]() ![]() |
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4 . 设集合
,
,
,
其中
,给出下列两个命题:命题
:对任意的
,
是
的子集;命题
:对任意的
,
不是
的子集.下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e73e3b2722e0096abbb26a9d38586b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42be8a41ff656d9a3bdc1a66f32b6f22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd2cf254a305f7f870ee3fe90fdca4c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf5dfe4f6f81b99c4f57ea43647bf0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6268630d5e5288048d32f4aa5c8bc02d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c171ff5c2728e7cf00a88f88de14f308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae863e7a1f1fed09f1075de4a817c63.png)
A.命题![]() ![]() |
B.命题![]() ![]() |
C.命题![]() ![]() |
D.命题![]() ![]() |
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5 . 设
是定义在非空集合
上的函数,且对于任意的
,总有
.对以下命题:
命题
:任取
,总存在
,使得
;
命题
:对于任意的
,若
,则
.
下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b3cd0b3ea01dbedb2d5be1019e28900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65e9efb09bf6dd8b301b8471def8315.png)
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57fce4316071d1d7e1b9e465a62fa0e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/285c96a432c91dfba0971ddf721c79fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ebf1d13c4642934664c8556cf88609.png)
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6cae53ab304b8fe8cfc365b58f8bf41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a215570dec286329a48588367d0dced2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4023cf66088eea0075d706f76e49da7.png)
下列说法正确的是( )
A.命题![]() |
B.命题![]() ![]() |
C.命题![]() ![]() |
D.命题![]() |
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6 . 已知命题
的充要条件是
且
;命题q:若
,
是两个非零向量,“
”是“
”的充要条件,则下列命题为真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3ef96406382e1284c323a11fd81efc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c05f1d68b133c5d2f76a06186e0ffb08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/444ba76b06bbd289344a64eb32212bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480e7839b807ca5c0c6c4028eba6c00c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5aa846a5b7c96fe2ce665eb1ea5f0e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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7 . 已知命题
,命题
,则下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/357d1fb64bb5db0e87b14e43e7838952.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/624569d182626456703b3c690795b68e.png)
A.![]() | B.q是真命题 |
C.![]() | D.![]() |
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3卷引用:黑龙江省大庆实验中学实验二部2022届高考得分训练(二)文科数学试卷
名校
8 . 下列命题正确的是( )
A.“![]() ![]() |
B.命题“![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
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9 . 下面说法中正确的有( )
①在
内任取一实数
,则使
的概率为
;
②“类比平面三角形的性质,推测空间四面体的性质”为演绎推理;
③十进制数78转换成二进制数为
;
④若一组数据
的方差为10,则另一组数据
的方差为11.
①在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f00f2f6ab162f9333ec55db195d663b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc844e4ff25b1255760ed35e04956f9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
②“类比平面三角形的性质,推测空间四面体的性质”为演绎推理;
③十进制数78转换成二进制数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ade2e47530816f8a8715e09848f9e28c.png)
④若一组数据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe1c31a81f198c443e71b83ca662939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf17ff8d6d8cb4daeade49274a7e5d4.png)
A.②③ | B.②④ | C.①③ | D.①④ |
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3卷引用:黑龙江省哈尔滨市第三中学校2022届高三第五次高考模拟考试文科数学试题
10 . 能说明命题“若无穷数列
满足
,则
为递增数列”为假命题的数列
的通项公式可以为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b42f6c67384c9a87aef74567f4174a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
您最近一年使用:0次