已知向量
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda401ebd70b19e61a2667b0e5ceb227.png)
.
(1)求不等式
的解集;
(2)设
,若关于x的方程
有且仅有一个实根,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd73c4358cad04ebe4a4948056f5ba9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda401ebd70b19e61a2667b0e5ceb227.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f425252bd3c0de565f70561e7a9fd95d.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705e64c6f20c5ba1bfeeb92eb2a31b04.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356f954e5c9857ffb1ffe23a7a579fd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb2e46f49adba6036e2624639a1b966.png)
更新时间:2020-02-14 16:09:08
|
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解答题-作图题
|
适中
(0.65)
名校
【推荐1】已知函数
是定义在R上的函数,图象关于y轴对称,当
时,
.
(1)求出函数
的解析式并画出函数
的简图(不必列表);
(2)若函数
的图象与直线
的图象有四个交点,求实数m的取值范围.
(3)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8ed92f58d44ee590c425bc741195c1.png)
(1)求出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4d12362d4b8dd25813953e1c5a94b2.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db626d9139ae8592db94d62ecd0d593.png)
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【推荐2】已知函数
的部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/2021/3/1/2668385002659840/2668418949644288/STEM/78d07201-3263-47d2-8769-62d306aae7b5.png)
(1)求函数
的解析式;
(2)当
时,试由实数
的取值讨论函数
的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/809358e25b553d42b342d524e0ca67ae.png)
![](https://img.xkw.com/dksih/QBM/2021/3/1/2668385002659840/2668418949644288/STEM/78d07201-3263-47d2-8769-62d306aae7b5.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8726422322300a6e308554080efed755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5fc19a99a6a9635ef01b432d243197.png)
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【推荐1】已知函数
.
(1)求函数
的单调递增区间,并解不等式
;
(2)关于
的方程
在
上有两个不相等的实数解
,求实数
的取值范围及
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac3957322713b22f337b0a652662ab5.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(2)关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606aba165691be97cd7eda9545a39a22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5cdde751120c6deab563a6f7f8cf05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8d549130c5be01b3cb0c48a8cf260e.png)
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【推荐2】我国核电建设占全球在建核电机组的40%以上,是全球核电在建规模最大的国家.核电抗飞防爆结构是保障核电工程安全的重要基础设施,为此国家制定了一系列核电钢筋混凝土施工强制规范,连接技术全面采用HRB500高强钢筋替代HRB400及以下钢筋.某项目课题组针对HRB500高强钢筋的现场加工难题,对螺纹滚道几何成形机理进行了深入研究,研究中发现某S型螺纹丝杠旋铣的滚道径向残留高度y(单位:mm)关于滚道径向方位角x(单位:rad)的函数
近似地满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52045e8885b601db1b6051cc70937fa.png)
,其图象的一部分如图所示.
(1)求函数
的解析式;
(2)为制造一批特殊钢筋混凝土,现需一批滚道径向残留高度不低于0.015mm且不高于0.02mm的钢筋,若这批钢筋由题中这种S型螺纹丝杠旋铣制作,求这种S型螺纹丝杠旋铣能制作出符合要求的钢筋的比例.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52045e8885b601db1b6051cc70937fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6efa8ed1736531446c7b10c621c1fabc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/23/36151c9c-a412-4c44-82e8-fff828a4116a.png?resizew=149)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)为制造一批特殊钢筋混凝土,现需一批滚道径向残留高度不低于0.015mm且不高于0.02mm的钢筋,若这批钢筋由题中这种S型螺纹丝杠旋铣制作,求这种S型螺纹丝杠旋铣能制作出符合要求的钢筋的比例.
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【推荐3】已知函数
在区间
上的最大值为3.
(1)求使
成立的
的取值集合;
(2)将函数
图象上所有的点向下平移1个单位长度,再向右平移
个单位长度,得到函数
的图象,若
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cf075d83fa06ce0bace1f1d55a82c23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
(1)求使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/782aebe90d3ce38ea5cab55eeb89d3f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa5f4aadc17b6d5c9760a75fab7fb760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eebb6b1d1bda9fc97bd8860513dbccc2.png)
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解题方法
【推荐1】在
中,内角
,
,
所对的边分别为
,
,
,已知
.
(1)求
;
(2)若
,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b028485297658e391843b64b79c7601e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328f4d3a80a80e08c3fd6544eadcb98f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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(0.65)
解题方法
【推荐2】已知
,
为锐角,
,
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db73deb6fa502e49e3c873ef076fbc32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c6863dcae8990e4f43f9cd6c6376ad.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bd66eee022ea39060174ac77c384430.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cceca6fd6a88e3ed3e6219432e5203ad.png)
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【推荐3】已知向量
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5816d18f639b8099e50104be5c23641.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/201316f82cebbb31e0d78123a60df89c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/536058c272c35961e2cd14b5a2f890f5.png)
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适中
(0.65)
名校
解题方法
【推荐1】已知平面向量
,
,
满足
,
,
,
,求
的最大值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3f8682540cd84c62e6fa835cd02f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16d81d266f24698696a81ed5e007680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e83eb0f0fbc7b9e5c6de746c9640cde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72feb8f69841c41ab8900c04e602a8d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48e7a3ac2122f12ce441dc90cb35d55e.png)
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【推荐2】已知向量
.
(1)求
的值;
(2)求向量
与
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ff6261834d8141537f6dee998dfdbb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/548005cde9f864254242620c580fb252.png)
(2)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f63b469e9a116df216dc63b0ce3ec7d.png)
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