1 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc2f69d2d3d82f6a055892a6437965c.png)
A.函数![]() ![]() |
B.函数![]() ![]() |
C.将函数![]() ![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-06-13更新
|
274次组卷
|
2卷引用:河北省张家口市2024届高三下学期第三次模拟考试数学试卷
2 . 已知向量
,若
,则
在
上的投影向量为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e1fb9969a330495076792c8a296403a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d960d1298826234619ecdf53a03bfaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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名校
解题方法
3 . 已知向量
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0af165fb58c0bae473cabe4c7ba23a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d76ee2e81f447f84a3e0b39c0388ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-24更新
|
531次组卷
|
2卷引用:河北省张家口市2023-2024学年高一下学期期中质量检测数学试卷
解题方法
4 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d5a7eac9ae5f67bb10a12bfd492d363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499c00595e23fe1eb3016bace4f0c8be.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 已知单位向量
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba19bbec1eca2a1a598fcc7719650e6.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e402903077b7e8c40e9c945af36684a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba19bbec1eca2a1a598fcc7719650e6.png)
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解题方法
6 . 如图,某市城建部门计划在一块半径为
,圆心角为
的扇形空地AOB内设计一个五边形花境,具体方案设计如下:在圆弧AB上取点P(P与A,B不重合),点M,N分别在半径OA,OB上,且
,
,连接PA,PB,MN,在由
,
,
组成的五边形MNBPA内种植三种花境植物,设
.
的取值范围;
(2)已知
内花境植物种植费用为400元/
,
,
内花境植物种植费用为500元/
,试预测此五边形花境最低造价为多少万元?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/debc8bd8fef0c480e9ad908b7fcde315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a69f6a208dd6671c46271b78430d79b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7025b43a8991cf07b35323ee6e042695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbd34b25a45696964c166bbc33585028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35a9ec7088381262f8ca327bd377660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ff139f605ee0df463ad9f64089e542.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c974c20de0e31685d64e26522969e2f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbd34b25a45696964c166bbc33585028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35a9ec7088381262f8ca327bd377660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
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解题方法
7 . 已知四边形ABCD为平行四边形,
.
(1)求平行四边形ABCD的面积;
(2)设点P满足
,点Q为线段AP上一点,若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e326522e5a5f10e939ed9ee164d50c2.png)
(1)求平行四边形ABCD的面积;
(2)设点P满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eef53cd73eb4a628ca6a95517131b12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bcd6acd78fc389ca2fe03c9006e4d32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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8 . 已知平行四边形的三个顶点的坐标分别为
,则另一个顶点的坐标可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d8c3fdf0d2cc73141f8c7cb8c26f086.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa21f3116751888561881e3f299079d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f01c217b97d30b2a56b8ea410f5a69f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 已知函数
的部分图象如图所示,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35398a863a6d89a569b08611d524518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee0b0070e4a607d84068abe92f73ab3f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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