解题方法
1 .
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b047198608ca5d68846ee83fd1a0e9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知函数
的部分图象如图所示.
的解析式;
(2)求
在
的值域;
(3)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c74ae8f9d9b58a22b74245a4d555b211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2564e31cc7ac73e5f43c5ef1a56027bb.png)
(3)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be1d8c6384d7fabddb693b2b7fcdf4a.png)
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解题方法
3 . 对任意两个非零向量
,定义新运算:
.
(1)若向量
,求
的值;
(2)若非零向量
满足
,且
,求
的取值范围;
(3)已知非零向量
满足
,向量
的夹角
,且
和
都是集合
中的元素,求
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662917aedec92809a13618093c8e0c3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c8fcfe76ebcc117a04aff784c708cf8.png)
(1)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77f35da65fbee7dc112ad98c897a21e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5bb7c28c450198e14a6003c8429ea4a.png)
(2)若非零向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82a102684873f9dfde748535cdc6b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd48a034a37514095fd2b435640230a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd873a8e0052ca540c08b6cf84408822.png)
(3)已知非零向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9fd92a255799ab6b864600fabd5831.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5141e1f11fe9486d1769d0a9b1f340fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5bb7c28c450198e14a6003c8429ea4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd873a8e0052ca540c08b6cf84408822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8a50d960d91796ec129aa16c0fc550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5bb7c28c450198e14a6003c8429ea4a.png)
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解题方法
4 . 如图,在六面体
中,
,四边形
是平行四边形,
.
平面
.
(2)若G是棱
的中点,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dced11455b3e31a9090915f80a046fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a3ae72e7e4d456f262d498b2a2f4473.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d782bc4aad7cf35baa3de7b8ea73e41f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09d9d486b7f91ba933210dd013a7f2c.png)
(2)若G是棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee06116d96046169b42ecf458401020.png)
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解题方法
5 . 关于复数
,下面是真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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解题方法
6 . 已知向量
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89374e79252c84594ef8d68eca66900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.9 | B.4 | C.![]() | D.![]() |
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7 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e552f715a969e6ac9822132e76e25e.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() |
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8 . 函数
的最小正周期是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b11f3d32b6bd895b9775226832860d.png)
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9 . 如图,在正方体
中,
分别是棱
的中点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4fb21db4957fd92575d2675fb9089f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bbb48ff80e7a2e8788d5df078d5eb3.png)
A.![]() ![]() |
B.直线![]() |
C.过![]() ![]() |
D.过![]() ![]() |
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10 . 如图,
是一个平面图形的直观图,其中
是直角三角形,
,则原图形中最长的边长是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0d02d76af11a2b8bfb7d6e1b3c171f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0d02d76af11a2b8bfb7d6e1b3c171f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed28ad7ee8d10b4d869b27c53f1c2781.png)
A.4 | B.![]() | C.![]() | D.![]() |
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