已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8f01613db47fc41521c7e670ac6843.png)
(1)求
的单调递增区间;
(2)锐角
的内角
的对边分别为
,且
为
的零点.求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8f01613db47fc41521c7e670ac6843.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da25f2d0eb965f86463135f0c388e6c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ea513ef4c8fc4d8c31eff498740680.png)
更新时间:2022-05-24 13:48:43
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解答题-问答题
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适中
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【推荐1】已知函数
的部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/3d540c97-e6ff-48e8-a99d-38f17f5b856e.png?resizew=146)
(1)求函数
的解析式;
(2)将函数
图象上所有点的横坐标缩短到原来的
,纵坐标不变,再向右平移
个单位长度,得到函数
的图象.当
时,求函数
的最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f36d89431f80ba81324fdd22477ad0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/3d540c97-e6ff-48e8-a99d-38f17f5b856e.png?resizew=146)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c17233164a2251b9e917d37f7dec897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be87998faa583333a1a0aa987567f9e.png)
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【推荐2】已知函数
.
(1)求该函数的最小正周期和最小值;
(2)若
,求该函数的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b720900ad0aac1752c1ddff63187976.png)
(1)求该函数的最小正周期和最小值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4908e3b4e523c042732ccb7c215aac99.png)
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【推荐3】已知向量
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
(1)若
,且
,求
的值;
(2)将函数
的图象向右平移
个单位得到函数
的图象,若函数
在
上有零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0e9932c577eff548810171cecf8edfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e48ead7de29f2b67bd303b9c3fd0a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bae439f2fc941015584171f62cced4f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa0dc2237408b01132ddf094247e35a3.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c363efa4702a73424d162172692b31da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
【推荐1】求函数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6352bba38b04f7fcb57b4e456b7c7d.png)
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【推荐2】已知
的内角
的对边分别为
,且
.
(1)求角
的大小;
(2)若
为锐角三角形,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e78f40c6f2fdd3dabc4c0050aeeda9e.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd5b9bbd3d22bd2cef53dd4b9691257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f4fb37aff5f48cc6d46934eb7e675f8.png)
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【推荐3】已知向量
,
,函数
.
(1)如果
,求
的值;
(2)如果
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e27588978abf920b71cc5ae684774095.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a699277197d1e33408568ddd73d800d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b3d660f9801555714d74c851c550bab.png)
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad56942439368d413f74e0ab7d9fb23c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7473ddc749c130605de2fdd5a43a62.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080c2abba143328afc5903acb18aed0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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解题方法
【推荐1】在
中,内角
、
、
对边的边长分别是
、
、
,已知
.
(1)若
,且
为钝角,求内角
与
的大小;
(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/3e67ca35a7d37b2150674a4c52640a68.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cdcd8e2985d160abdc58aec0fe15a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐2】已知△
中,角A,B,C所对的边分别为a,b,c,且
.
(1)求角B的大小;
(2)若
,求△
周长的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb24b00fb151d801f0cf13c1d4feffc.png)
(1)求角B的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be4380bdcef1c542604a6ad61642c0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
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【推荐1】在①
,
,且
,②
,③
这三个条件中任选一个补充在下面的问题中,并给出解答.
在
中,角
,
,
的对边分别为
,
,
,且______.
(1)求角
;
(2)若
,求
周长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1c174cfd7174f7335aaf89621064.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9221777f35495b465050ce1763cfd7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ee59964f020fc52b5ba66a3f5fcc3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1211282a5706757899f3bca486affaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8632b390a440cfe3e5d9dcb1d9ddfa30.png)
在
![](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)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐2】为了迎接亚运会, 滨江区决定改造一个公园,准备在道路AB的一侧建一个四边形花圃种薰衣草(如图).已知道路AB长为4km,四边形的另外两个顶点C, D设计在以AB为直径的半圆
上. 记
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/a642968f-5f02-4f94-a0ce-c384a1b9d696.png?resizew=177)
(1)为了观赏效果, 需要保证
,若薰衣草的种植面积不能少于
km2,则
应设计在什么范围内?
(2)若BC = AD, 求当
为何值时,四边形
的周长最大,并求出此最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8534428a3bd4b5396735e52a40c3be3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/a642968f-5f02-4f94-a0ce-c384a1b9d696.png?resizew=177)
(1)为了观赏效果, 需要保证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d1dfdfd2e2c671a71e60ea1b1630ff0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46bf936cb859f2033fcd8a68d954f0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)若BC = AD, 求当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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