解题方法
1 . 已知
为第一象限角,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e304cf018473bb54edb166fcd6502b.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9bc052a11cf1a01445992672dde2836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e304cf018473bb54edb166fcd6502b.png)
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2 . 如图,矩形
的四个顶点的坐标依次为
、
、
、
,记边
与函数
的图像围成的区域(图中阴影部分)为
.若向矩形
内任意投一点
,则点
落在区域
内的概率是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2c84e7b41a841a230ed5f8a42309aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06f1004ad4eca5ce77c9789f8cbb3c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d657aa256c02d061ee7d4e351cbee5ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb593aaaa8d85b9bbf90a1899729f6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb9ad1e34877b0db02d0219332b0f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb9ad1e34877b0db02d0219332b0f7b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/c3723d4c-3179-49e0-8789-42983d29f9d1.png?resizew=161)
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3 . 在图所示的数阵中,每行的三个数依次成等差数列,每列的三个数也依次成等差数列.若
,则所有这九个数的和等于______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31606ac5661e2707b7615cd65efca7e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d537d58c1657629b053368830666779.png)
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4 . 设函数
其中,
、
互质,且
.则满足
,且
的
值的个数是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afe7fcba2f7bcea825e4fb6bf61d1ac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee5d95a2662414bf57b1449ff7a3ea27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9058e1f375f5167d3446acbdbf4fba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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5 . 满足
的最大负角
的弧度数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e7c0cdace3274e319f519869bb0016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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2011高三·陕西·竞赛
6 . 现代社会对破译密码的要求越来越高.在密码学中,直接可以看到的内容为明码,对明码进行某种处理后得到的内容为密码.有一种密码将英文的26个字母
(不论大小写)依次对应
这26个自然数,见表.
给出明码对应的序号
和密码对应的序号
的变换公式:
利用它可将明码转换成密码,如
,即
变成
,即
变成
.按上述公式,若将某明码译成的密码是
,则原来的明码是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/960150423264f9368712378d4436067e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb512cdc3149571b909d7b26c5ef6b63.png)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 |
![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d80d6a72e8ada99e101ec789d49340.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a896866a8ccd3f3ab1ce9aa95d8cf8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb3c1b521936aaff0b4a160f362a2e9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff6a64f807e18eb702baae93bd43d58a.png)
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7 . 设集合A={5,log2(a+3)},B={a,b}.若A∩B={1},则A∪B=
您最近一年使用:0次
2009高三·陕西·竞赛
名校
8 . 如图,在
中,
,
.若
为
的外心,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ad4c0ba3a6750537789844d0ec419d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a3885481fba1f9843e04d0070d6ace7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/4bbad6f0-64ed-4a8f-953b-b54d30859009.png?resizew=134)
您最近一年使用:0次
2018-12-24更新
|
643次组卷
|
4卷引用:2009年全国高中数学联赛陕西赛区预赛试题
(已下线)2009年全国高中数学联赛陕西赛区预赛试题天津市第四中学2021-2022学年高一下学期期中数学试题上海市延安中学2023届高三下学期开学考试数学试题天津市第四中学2022-2023学年高一下学期3月阶段性练习数学试题
2009高三·陕西·竞赛
9 . 设
是定义在
上的奇函数,
,当时
时,
是增函数,且对任意的
、
,都有
.则函数
在区间
上的最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed670b1f668778c6243f3f7470ee7d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54dad48527a47eab4a5916ab0421cc71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef2f9766c341bc0bd1362e8e2bd9f552.png)
您最近一年使用:0次
2018-12-24更新
|
465次组卷
|
3卷引用:2009年全国高中数学联赛陕西赛区预赛试题
(已下线)2009年全国高中数学联赛陕西赛区预赛试题人教A版(2019) 必修第一册(上) 重难点知识清单 第三章 函数的概念与性质 3.2 函数的基本性质 3.2.2 奇偶性苏教版(2019) 必修第一册 过关检测 第5章 第5.4节 综合把关练