1 . 若x、y满足不等式
,则z=3x+y的最大值为
![](https://img.xkw.com/dksih/QBM/2016/3/23/1572554438860800/1572554444120064/STEM/947793f8401c499bbbab1bfc84f53997.png)
A.11 | B.﹣11 | C.13 | D.﹣13 |
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11-12高三上·广东东莞·期末
2 . 将正方形
分割成
个全等的小正方形(图1,图2分别给出了
的情形),在每个小正方形的顶点各放置一个数,使位于正方形
的四边及平行于某边的任一直线上的数都分别依次成等差数列,若顶点
处的四个数互不相同且和为1,记所有顶点上的数之和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ebfbd16965e214e84a525306e57d9c.png)
![](https://img.xkw.com/dksih/QBM/2011/2/19/1570000250593280/1570000255582208/STEM/e502fbf38b8346aab0fca92da44e951a.png?resizew=199)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e1f0fe07cfdef96ee9908e017064906.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d15d4afcc5736bb747eeffcffd3f4464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fcec7af3520884b173b29bda6c657a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ebfbd16965e214e84a525306e57d9c.png)
![](https://img.xkw.com/dksih/QBM/2011/2/19/1570000250593280/1570000255582208/STEM/e502fbf38b8346aab0fca92da44e951a.png?resizew=199)
A.4 | B.6 | C.![]() | D.![]() |
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3 . 对于函数
,若
满足
,
,
,求
及
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c18cc83533fcca534ee58769fab49e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba4830a5e6437787c7cfc05f8b5c3ad7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdad999b3dd01d1a18fda43adb2d33dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd2561aed485199ac2ba995cb3d90dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c0af4ae51485b47a414970f1ac6fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9febb0e53890d2fb72fdfd7f0aa88acc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d86a0a3e867a448094f74a54a1fee64.png)
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11-12高二上·广东东莞·期末
4 . 台风中心从A地以每小时20千米的速度向东偏北
方向移动,离台风中心30千米内的地区为危险区,城市B在A的正东30千米处,B城市处于危险区内的时间共有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9bf2423499d45354dbc8377f1f04e16.png)
A.2小时 | B.1.5小时 | C.1小时 | D.0.5小时 |
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5 . 设命题
实数
满足
,其中
,命题
实数
满足
.
(1)若
,且
为真,求实数
的取值范围;
(2)若
是
成立的必要不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03372ebaaaf655ab8bb9e1e6b19bd910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eda48853e8bdb7e266370b4e0d5a258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0699a74bac02a0da341a197653b3a510.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a31351c3868449fd115650c13152be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](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/0a6936d370d6a238a608ca56f87198de.png)
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6 . 已知实数x,y满足
,则Z=y﹣(
)x的取值范围为_________ .
![](https://img.xkw.com/dksih/QBM/2016/4/14/1572592954769408/1572592960831488/STEM/975d0fe7af6a40a3b8e4607d28720769.png?resizew=92)
![](https://img.xkw.com/dksih/QBM/2016/4/14/1572592954769408/1572592960831488/STEM/4ae298edecf94e2aa636e76f66e4355f.png?resizew=10)
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11-12高二上·广东东莞·期末
7 . 已知等差数列
的公差为
,前
项和为
,且满足
,
(1)试用
表示不等式组
,并在给定的坐标系中画出不等式组表示的平面区域;
(2)求
的最大值,并指出此时数列
的公差
的值.
[
![](https://img.xkw.com/dksih/QBM/2011/2/19/1570000932421632/1570000937689088/STEM/3d47487197bc430badb3febcbf482a19.png)
![](https://img.xkw.com/dksih/QBM/2011/2/19/1570000932421632/1570000937689088/STEM/316a0d7206e94001a7d77930aa8b5823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41806bfdaaa50a21e5b0c9dbc9d8c72.png)
(1)试用
![](https://img.xkw.com/dksih/QBM/2011/2/19/1570000932421632/1570000937689088/STEM/9bc82b591b874bbfb4feefa9aa21bfbc.png)
![](https://img.xkw.com/dksih/QBM/2011/2/19/1570000932421632/1570000937689088/STEM/b0ebe7330e544613a37621088ff4a8e9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://img.xkw.com/dksih/QBM/2011/2/19/1570000932421632/1570000937689088/STEM/3d47487197bc430badb3febcbf482a19.png)
![](https://img.xkw.com/dksih/QBM/2011/2/19/1570000932421632/1570000937689088/STEM/316a0d7206e94001a7d77930aa8b5823.png)
![](https://img.xkw.com/dksih/QBM/2011/2/19/1570000932421632/1570000937689088/STEM/34ff98a6d1d64b12a48bb07682df463c.png)
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