解题方法
1 . 折扇深受各阶层人民喜爱.古人曾有诗赞曰:“开合清风纸半张,随机舒卷岂寻常;金环并束龙腰细,玉棚齐编凤翅长”.折扇平面图为下图的扇形
,其中
,
,
,动点
在弧
上(含端点),连接
交扇形
的弧
于点
,且
,则下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3201d3796ed9a29338aac25245a7c8e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff5c21185c13eae675906dabd3593c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219e30b8ccb309425805df56f18af52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9b5996067a3fc9adcf0ca178dddf03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0397f1b81baa94107b587b53044ef048.png)
A.若![]() ![]() | B.![]() |
C.![]() | D.若![]() ![]() |
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2 .
的一般结构是
.站在三角换元的角度,就是利用同角三角函数中的平方关系,对代数式中的两数和或平方和为常数的结构进行三角代换以挖掘代数式中的隐含条件来解决问题.研究函数
,求出
的值域是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2302bd8fbae724ad0aa0dd1a2c318968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d8cc033b39e6328fa6c478bdb5c7a6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51cbb353e903b72f2e59f025a8e3179f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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3 . 对于函数
,若存在大于零的常数
和非零常数
,使得当
取定义域中的每一个值时,都有
,那么
称为“类周期函数”,
叫做“类周期”.下列四个命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3281ac9e36c20d31cf4bc12548b46f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
A.函数![]() ![]() |
B.函数![]() |
C.函数![]() |
D.设函数![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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4 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39d4e199031b74357e9fbd723916fbc.png)
A.![]() |
B.![]() ![]() |
C.方程![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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名校
解题方法
5 . 已知集合
,若对于任意
,以及任意
,满足
,则称集合
为“类圆集”.下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4a5706bff1d5204438c69b66489f3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4757bb977bdb186160e8f58bcd5464da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee72261f6901e62dfd0ffe547406544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7d005cf1957874a70448fe93e17e361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
A.集合![]() |
B.集合![]() |
C.集合![]() |
D.若![]() ![]() |
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解题方法
6 . 已知
,
,且
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481e744af0f65e797a35d976c20f2dac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd71803df3c72c63ee5fe30661b1a1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d61e2e7cc4834161983649bfac47d872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f69b1edea06acefd1b2347de4f7721.png)
A.![]() ![]() | B.![]() ![]() | C.![]() | D.![]() |
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解题方法
7 . 如图,在棱长为4的正方体
中,
为棱
的中点,
,过点
的平面截该正方体所得的截面为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8cabbfce2c5459fa4e35d737c52ca41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b861c59576112ec3a816c73a23bba541.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
A.不存在![]() ![]() ![]() |
B.当平面![]() ![]() ![]() |
C.线段![]() ![]() |
D.当![]() ![]() |
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解题方法
8 . 已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e6731e2434b14e56ec42ce0173125bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/221ad7bd3ac9073f5b05c6bb26ea8e83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e39da856165b3d34f7b53150d2ce40.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 中国文化中的太极八卦图蕴含了现代哲学中的矛盾对立统一规律,如图1是八卦模型图,其平面图形记为图2中的正八边形
,其中
,若点P是其内部任意一点,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17d4a6cf11cda87b3dfafaecdec683f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52705567101a48893de582656ef41527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b8d017e422f158fe09ed9c867ecfe7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 在△ABC中,BC=2,
,D为BC中点,在△ABC所在平面内有一动点P满足
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1371fe98a65d8ebd840c8d98346b6d15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96542a6a6fb4ade93c86eeb2ba0079a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2ca95656f3e52f58c194e3272c928a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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