解题方法
1 . 已知向量
与
的夹角是
,且
,
,则向量
在向量
上的投影向量是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290710d643ab6cd3b9edd73815b1d8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0ae443a505d263c44a3d7515fd0170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fa8ea29001bb1f0c1e5157aff2fca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 集合
,
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a18ce0fd485ae199f51654e62475c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac4764cf2bfd520b6c47d06407a1d16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 已知
的三个内角A,B,C的对边分别为a,b,c,且
.
(1)求证:
为等腰三角形;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0e65f3ca149022d8a0ee5f70e9fa776.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35639227440e8dc58074332230523d9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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4 . 已知函数
且
.
(1)求实数a的值;
(2)若函数
在
上恰有两个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd535030ec92efe0b1a86a33b7306aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/008925a3b60d366297f31efa54aa38c9.png)
(1)求实数a的值;
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5b9f57d3634f8337f1414f8a2a2dc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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名校
解题方法
5 . 二次函数
满足
,且
.
(1)求
的解析式;
(2)若
时,
的图象恒在
图象的上方,试确定实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c42b6975b22e99c0148e6952d174ebba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17ee5f43412795671704ab0e8d0b2f5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070f2ee5e48cce77eb4a2cb9f11ccfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40a0ac4bfe4ded00b4400f913e0c9862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-06-14更新
|
718次组卷
|
3卷引用:福建省龙岩市上杭县第一中学2024年6月普通高中学业水平合格性考试数学模拟卷
名校
6 . 已知
,
是两条不同的直线,
,
是两个不同的平面,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
A.若![]() ![]() ![]() | B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() | D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-06-14更新
|
293次组卷
|
2卷引用:福建省龙岩市上杭县第一中学2024年6月普通高中学业水平合格性考试数学模拟卷
解题方法
7 . 已知
,
,
,若不等式
恒成立,则实数
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e34f42b3be15518c29e3689c9fe6d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a32ae00d235e4f35f2be8dea7593dc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/247d694c20076bb68447107d3def29cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.2 | B.3 | C.4 | D.6 |
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8 . 某“定制班车”的票价按下列规则制定:
①行程在
以内的(含
),票价2元;
②行程在
以上的,前
票价2元,以后每增加
票价增加1元(不足
的按
计算).
小明某天乘坐该“定制班车”,行程
,票价4元,那么
的取值范围是( )
①行程在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82281bd698f67d16e5b29bf5664b6dd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82281bd698f67d16e5b29bf5664b6dd7.png)
②行程在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82281bd698f67d16e5b29bf5664b6dd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82281bd698f67d16e5b29bf5664b6dd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db6c82352ba5664b27cd8fdd75c2e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db6c82352ba5664b27cd8fdd75c2e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db6c82352ba5664b27cd8fdd75c2e31.png)
小明某天乘坐该“定制班车”,行程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0291934c9e82ba361ca63f9a6468fb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . i为虚数单位,计算
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae916c2f6cb1041e86a94a5a98520efb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 若函数
在区间
上单调递增,则k的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e90a7e13e29faa5acd0ef63dece869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3741faf608b0cb549d852b1037d0046c.png)
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