名校
解题方法
1 . 已知
,则 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/340d0523a32e8c0b1b8f606252b95952.png)
___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfd9ac93064286e2c150b28ceb1ca928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/340d0523a32e8c0b1b8f606252b95952.png)
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解题方法
2 . 已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d394016b9fecac73f38cbc4ff18dee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a8c37e6f44b62ff1bc4fb6266899892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b80751c98f9991b9cfc03923a98834.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
3 . 宋朝诗人王镃在《蜻蜓》中写到:“轻绡剪翅约秋霜,点水低飞恋野塘”,描绘了蜻蜓点水的情形,蜻蜓点水会使平静的水面形成水波纹,截取其中一段水波纹,其形状可近似于用函数
的图象来描述,如图所示,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4f29a473e9757d8f24f627f52e9e15.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3434f3860fb9e47ab2b8ef93eae2a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4f29a473e9757d8f24f627f52e9e15.png)
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4 . 已知
中,角
所对的边分别为
,
,
,
,若
,则
的最小值为_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95d62b9a1fc994c972781c7013fedba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb1b5305cb9b5a90c4f13bceaaee4fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68918379531894442f55c7257549ea33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd5b9bbd3d22bd2cef53dd4b9691257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c4807435a3e91de8aba99db62e23bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e0987a20a5648765bce6ae78a693106.png)
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5 . 如图,在函数
的部分图象中,若
,则点
的纵坐标为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a8855aff1b33b5849d88513101d8d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af8fac5ea40d7d2d1d3a8843f701b390.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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解题方法
6 . 已知
为实数集
的非空子集,若存在函数
且满足如下条件:①
定义域为
时,值域为
;②对任意
,
,均有
. 则称
是集合
到集合
的一个“完美对应”.
(1)用初等函数构造区间
到区间
的一个完美对应
;
(2)求证:整数集
到有理数集
之间不存在完美对应;
(3)若
,
,且
是某区间
到区间
的一个完美对应,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4c42648f413abc4ec6b042f0924e1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e7ee80da08376cb9a6f0ac641b2d1f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)用初等函数构造区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f14df2d8d1fea71da4197e81b6ee3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d65bdc820ab87b9a7909d2be591abec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求证:整数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067802ecb7978511f798ef27d02e890b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316ecb1589c3cc179e2f62507020771e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e8835e96965b13d49dd1481403eb997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aff8d9b6533ff319420cdc5e8740b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e2bb6cfd4b2fa49622dc9b7c39b62b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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7 . 已知圆台的上底半径为1,下底半径为2,若圆台上、下底面的面积和等于圆台的侧面面积,则圆台的母线与底面所成角的大小为______ (用反三角函数表示).
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8 . 已知函数
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db5a31b613c4f70ac62a85d3218cec12.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26c79f0f2c29d40b3c0f877f21ceca76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da812ca7643c4b5cb9a1c8432b603b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db5a31b613c4f70ac62a85d3218cec12.png)
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9 . 已知
分别为
三个内角
的对边,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
______ ;若
,
,
,
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88f2599ca8b6b683e57a82699c8b1ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7af7c5df749c6fa9bbe87faa72c66d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eb4f079ec739c81a07d11a0939834b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b12dcfb8f3fc0ac45d50782c3f248672.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2187ee1ea3b7e47a6283314322e5decf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a6c03c053e0d74a04dd5142f0c37fc6.png)
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10 . 已知函数
,若
使得
的图象在点
处的切线与
轴平行,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d458b75c3c5d9078ea50c42f9135ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3691d7e6510dccb66ed928a0d9570e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8559f5db9b978cb2bd290dbce7268629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.2 | B.![]() | C.1 | D.![]() |
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