名校
解题方法
1 . 已知平面向量
,
.
(1)若
,
,求实数x的值;
(2)求函数
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21228760dbd43e2fc18a3ea2c1cda47a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b3c677296f08036504a0bc1b2583091.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af48d91a777e66110d80373b8a018b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2104745f6548c40d42d046514e78df46.png)
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2022-07-06更新
|
602次组卷
|
4卷引用:山西省长治市上党区第一中学校2021-2022学年高一下学期期末数学试题
名校
2 . 若
,
,
是同一平面内的三个向量,其中
(3,
).
(1)若
,且
∥
,求
的坐标;
(2)若
且
与
垂直,求
与
的夹角
.
![](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/7481aca88fa2c15f6f9162080b37f0d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bbcc9c011e33e93b7b89a7022bf7d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380c400759810686752557f58aeee6c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697e82d288df5ac7656340301e636646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7e07c25df57a36d4f1b11d7d9fe16b8.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/c24095e409b025db711f14be783a406c.png)
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2022-07-04更新
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484次组卷
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3卷引用:山西省阳高县第一中学校2022-2023学年高一下学期期末数学试题
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3 . 已知
是坐标原点,
,点
满足
.
(1)求
;
(2)若
三点能构成三角形,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c18d0de8a5e18bdece40bfcb520b436.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/052c1b6a4a9bb51e728f417d563ac9ab.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac42d5ee4e0c159d50cef0b5c0f511f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7b58d7e559946c4daac28510d8bcec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2022-05-27更新
|
236次组卷
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2卷引用:山西省运城市2021~2022学年高一下学期5月阶段性检测数学试题
解题方法
4 . 已知
,
.
(1)若
,求
值;
(2)若
,求
值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d2aa7f22e93c50b91eaceed66a9761e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e69e7c5940ece61744e7825ef08fa8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70facc9bc02af0867d248407bd317c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/511d2db0eb70fd206241949796d52f64.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5aa846a5b7c96fe2ce665eb1ea5f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5685f200fb12b6ba919ed935358f0c89.png)
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5 . 在直角坐标系xOy中,已知点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/051d19689590dd715f0da5b1fa527250.png)
A.若![]() ![]() |
B.若点P在BC上,则![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2022-04-22更新
|
379次组卷
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3卷引用:山西省太原市2022-2023学年高一下学期期中数学试题
解题方法
6 . 在
中,a,b,c分别为内角A,B,C的对边,
,
,且
.
(1)求角B的值;
(2)若
,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b0a47e2d448aadefa6957e390631df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a978595d203ba22d6be64e9f6cde9bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d5edac4054d1245f3af34d645048ec.png)
(1)求角B的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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21-22高一下·江苏南通·阶段练习
名校
7 . 已知向量
,
,则下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d607667f2516c58bbdff03e01be50f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2104de538eeef038296743bbeb747801.png)
A.若![]() ![]() ![]() |
B.与![]() ![]() |
C.![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() |
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2022-04-05更新
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771次组卷
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3卷引用:山西省大同市浑源县第七中学校2023-2024学年高一下学期第二次月考数学试题
山西省大同市浑源县第七中学校2023-2024学年高一下学期第二次月考数学试题(已下线)江苏省南通市如皋市2021-2022学年高一下学期教学质量调研(一)数学试题吉林省长春市第二实验中学2022-2023学年高一下学期4月月考数学试题
8 . 在平面直角坐标系中,已知三点
为坐标原点.
(1)若
是直角三角形,求
的值;
(2)若四边形
是平行四边形,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12968a1928e30b10b35ad34f50bd6de8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)若四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f13cbde54d7dfa0cb4b07de51d3be31d.png)
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2022-04-01更新
|
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2卷引用:山西省运城市2021-2022学年高一下学期3月阶段性检测数学(B)试题
名校
解题方法
9 . 已知向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d473fdcff6c86639af4f6b586219f4.png)
(1)若
,求实数λ,u的值;
(2)若
,求
与
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d473fdcff6c86639af4f6b586219f4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1abdc197cab50e9b59fd74467aaf8ad8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9432b244f4235aab1f64d8e377de1699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8926b2b0b9572d018a396884e9bbcc40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
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2022-03-29更新
|
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6卷引用:山西省怀仁市第一中学校2021-2022学年高一下学期期中数学(文)试题
山西省怀仁市第一中学校2021-2022学年高一下学期期中数学(文)试题重庆市巴蜀中学2021-2022学年高一下学期3月月考数学试题重庆市江津中学2021-2022学年高一下学期第一阶段考试数学试题广西梧州市岑溪市2021-2022学年高一下学期期中考试数学试题河南省郑州市励德双语学校2021-2022学年高一下学期第一次月考数学试题(已下线)高一数学下学期第一次月考卷(人教A版2019必修二第6-7章)-【满分全攻略】2022-2023学年高一数学下学期核心考点+重难点讲练与测试(人教A版2019必修第二册)
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10 . 设向量
,其中O为坐标原点,
,若A,B,C三点共线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
________ ,
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec0016e559f31ab7a35778756297bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57f879f6e8df7d5fb261328806260b3.png)
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2022-03-26更新
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4卷引用:山西省朔州市平鲁区李林中学2021-2022学年高一下学期第一次月考数学试题