1 . 思考辨析(正确的写正确,错误的写错误)
(1) 一个人受教育的程度与他的能力之间的关系是依赖关系.( )
(2)圆上的点的纵坐标与横坐标之间的关系是函数关系.( )
(3)若y是x的函数,则x一定是y的函数.( )
(1) 一个人受教育的程度与他的能力之间的关系是依赖关系.
(2)圆上的点的纵坐标与横坐标之间的关系是函数关系.
(3)若y是x的函数,则x一定是y的函数.
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2021高一下·全国·专题练习
2 . 判断下列命题是否正确,并说明理由.
①若
,则
一定不与
共线;( )
②若
,则A,B,C,D四点是平行四边形的四个顶点;( )
③在平行四边形ABCD中,一定有
;( )
④若向量
与任一向量
平行,则
=
;( )
⑤若
=
,
=
,则
=
;( )
⑥若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae98586d80f892771c90ab39eaced90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee437e6ff470c2f67b8429f57b90ae37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae98586d80f892771c90ab39eaced90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
.( )
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6118886003b5867c2ad0afbfd77345b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae98586d80f892771c90ab39eaced90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee437e6ff470c2f67b8429f57b90ae37.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ccecb2c6965297b0357d42e53503bf.png)
③在平行四边形ABCD中,一定有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ccecb2c6965297b0357d42e53503bf.png)
④若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae98586d80f892771c90ab39eaced90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee437e6ff470c2f67b8429f57b90ae37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae98586d80f892771c90ab39eaced90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8056472fd8642b035496fdd6f30454e4.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae98586d80f892771c90ab39eaced90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee437e6ff470c2f67b8429f57b90ae37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee437e6ff470c2f67b8429f57b90ae37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a87c03982d3af82c243fe0cca504f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae98586d80f892771c90ab39eaced90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a87c03982d3af82c243fe0cca504f1.png)
⑥若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae98586d80f892771c90ab39eaced90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee437e6ff470c2f67b8429f57b90ae37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee437e6ff470c2f67b8429f57b90ae37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a87c03982d3af82c243fe0cca504f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae98586d80f892771c90ab39eaced90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a87c03982d3af82c243fe0cca504f1.png)
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3 . 命题“若
,
,则
” 的真假性为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba636047d7a3a907aaf969323a56d4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8edf38f87aa0e446a0b1591146a5ee35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba00d53052058b9373254242ea7e52c5.png)
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20-21高二·江苏·课后作业
4 . 判断下列命题的真假:
(1)若向量
、
共线,则向量
、
所在的直线平行( )
(2)若向量
、
所在的直线是异面直线,则向量
、
一定不共线( )
(3)若三个向量
、
、
两两共面,则三个向量
、
、
一定共面( )
(4)若
、
、
是空间三个向量,则对空间任一向量
,总存在唯一的有序实数组
,使
.( )
(1)若向量
![](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/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
(2)若向量
![](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/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
(3)若三个向量
![](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/bb573cc0f30d5c32cdad1510793f0e7b.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/bb573cc0f30d5c32cdad1510793f0e7b.png)
(4)若
![](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/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1bfbd2ef51eaeb6e686e27cc95638e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b525d8c768efd801ab58bc4c0da9221e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81b46a3ddb3f2b793df6294d710bab1.png)
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解题方法
5 . 若
,则
.( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca24341509c05e672999202f2df0ebaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec2ffdd4e0b0d5fb79a1c7d5dcc70168.png)
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6 . 若
,则
.( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca24341509c05e672999202f2df0ebaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9583154bf9f64b6b27a2970ba1ec3a88.png)
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解题方法
7 . 若
,则
.( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca24341509c05e672999202f2df0ebaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91dbf5ee09b127a4aa225908e29f37c.png)
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8 . 若
,则
.( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce613eaa5df46a50174085ef5d1087fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa9b94628617cbe6f1c60d5982f1bc3b.png)
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9 . 若
,则
.( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17cec7c4f1818b40b76fc29a5ff5765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432b31bd223a0e5c4b7ee51de605ff8c.png)
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