1 . 平面向量
与
的夹角为
,
,
,则
( )
![](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/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f274dcd681627e3ae23ed8532c0edd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89811165d009e98e45fb96ca6a4404b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a4a010a31650b7a97a2ef7ff43e27e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 向量
在正方形网格中的位置如图所示,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89acc82cb747ff57569b0bcaf68f877d.png)
![](https://img.xkw.com/dksih/QBM/2017/3/6/1637845450801152/1666512412246016/STEM/46cc84f3e5a84ab4a387fc0cadc4cde9.png?resizew=209)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7cad34fccd0fe584087604e863f352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4fc4201c6528e2d7dc40fc1a21f338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89acc82cb747ff57569b0bcaf68f877d.png)
![](https://img.xkw.com/dksih/QBM/2017/3/6/1637845450801152/1666512412246016/STEM/46cc84f3e5a84ab4a387fc0cadc4cde9.png?resizew=209)
A.2 | B.4 | C.5 | D.7 |
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2017-04-15更新
|
706次组卷
|
2卷引用:2017届吉林省梅河口市第五中学高三一模数学(文)试卷
3 . 已知向量
,若
,则实数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a13b56e1a6477edbd2d78670c840f65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12976a4d92584494d1c2c714684d45b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() ![]() | B.![]() ![]() | C.![]() | D.![]() |
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解题方法
4 . 设函数
,若方程
恰好有三个根,分别为
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7137aec74c20054fc1397757ade313e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc231c399eaba3ac0c3593ca0a362f1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/181bea13d6ce380e80eb22e5475eac5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5b965b3f27889e139013aa8c8f8fe3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-04-07更新
|
899次组卷
|
2卷引用:2017届吉林省延边州高三下学期高考仿真考试数学(文)试卷
5 . 已知向量
,且
与
的夹角为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b05f483e9fd023c62abc475ab81659.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ba2068489417927b04dedb96d87282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7787902056794fd718bfeec12825522b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知函数
的最大值为
,最小值为
.两个对称轴间最短距离为
,直线
是其图象的一条对称轴,则符合条件的解析式为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9338a0f2522a142a2e9f96e9eec3717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c6cb0cc172657611e286e7fa669584.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
7 . 已知抛物线的对称轴为坐标轴,顶点为坐标原点,准线方程为
,直线
与抛物线相交于不同的
、
两点.
(1)求抛物线的标准方程;
(2)如果直线
过抛物线的焦点,求
的值;
(3)如果
,直线
是否过一定点,若过一定点,求出该定点;若不过一定点,试说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求抛物线的标准方程;
(2)如果直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/658aa70a197c830aa765f2f7ea4c86c5.png)
(3)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b0126cc930c0161d9c9cb10d1d1fcee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2017-03-22更新
|
796次组卷
|
5卷引用:2017届吉林省长白山市高三第二次模拟考试数学(文)试卷
8 . 若函数
的图象向左平移
个单位,得到函数
的图象,则下列关于
叙述正确的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34c6d3391c73a69471a198e2b7cab130.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdaf49f9611922348aa2784465da614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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9 . 已知
,
为单位向量,其夹角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1257037262e34623db5a8cd8745638b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1257037262e34623db5a8cd8745638b.png)
A.![]() | B.![]() | C.![]() | D.2 |
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10 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9845876f2827ad5daa029eb131a3852b.png)
_____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9845876f2827ad5daa029eb131a3852b.png)
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