已知△ABC的面积为3,且满足
,设
和
的夹角是
,
(1)求
的取值范围;
(2)求函数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9420bedd7df95e7a6942c0daf947665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be64d59ac6538a0f4d79fb825e082081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5235cfb459ae9101f25e1a35e9434e.png)
更新时间:2016-12-01 21:34:56
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适中
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解题方法
【推荐1】已知函数
的部分图象如图所示,
是图象的最高点,
为图象与
轴的交点,
为坐标原点,若
,
,
.
![](https://img.xkw.com/dksih/QBM/2020/5/20/2466986381107200/2467550468005888/STEM/097d7c942bab4107ae4b92f7497c9ebc.png?resizew=264)
(1)求函数
的解析式,
(2)将函数
的图象向右平移2个单位后得到函数
的图象,当
时,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb66bb9901786243a5d70a5ffb7afc49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3ebcc4ad28b8b96b35b1397a7757d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e714a58ba889a71f756e00b5ad1fe1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a16521b1b6b2618022a1bb4288b5277.png)
![](https://img.xkw.com/dksih/QBM/2020/5/20/2466986381107200/2467550468005888/STEM/097d7c942bab4107ae4b92f7497c9ebc.png?resizew=264)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3b4dd2bd4bec99d3a930438cd7cc69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26449166d039249a8a86df230635c858.png)
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【推荐2】已知函数
,
.
(1)求不等式
的解集;
(2)求当
取得最大值、最小值时
的值,并求最大值、最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1d00802ab857b6f46ad341260b3247d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0374ece448bd4d63978c2f31bd75a0fe.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07a84b5045d4aef50391208e2faec7dc.png)
(2)求当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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【推荐1】在
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的对边分别是
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ac05e21147ef7add5940c15ba83663.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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解题方法
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9806a73064dd520f2ff566f8f40c3323.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/100e48d0fbc3be9ef55f5f190a7d7eb8.png)
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【推荐1】
的内角A,B,C所对的边分别为a,b,c,已知
.
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44c7c5dbd51540d57f7c3d8eacb226c0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
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适中
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【推荐2】已知向量
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac985e490e279254b2ce20a00c483f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a99e748821f49e8c5ebc1177b082366e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394518f518e8eee4c6370fdfe90e71b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c679119740af166f73eee7d2f9702108.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d57678b93f1dcb18d4cbb33ff70bce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03f9b2037a8e07288f994e96de8f307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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【推荐3】已知向量
,
函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae9f908aabcd9d9c46a0ecdfd1d6c12.png)
(1)求函数
的单调递减区间;
(2)将
图象上各点的横坐标伸长到原来的2倍(纵坐标不变),再将得到的图象右平移
个单位,然后将得到的图象向下平移1个单位长度得到函数
的图象求函数
的对称轴方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08003e5b7d5632654d89d200c46fcfad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930191a28f1139d72f7850c1e021a8bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae9f908aabcd9d9c46a0ecdfd1d6c12.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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【推荐1】如图,在边长为2的等边三角形
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/360aeaf8-1458-4f01-b8aa-a1845b6971fb.png?resizew=142)
(1)求向量
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的夹角;
(2)若O是线段
上任意一点,求
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/360aeaf8-1458-4f01-b8aa-a1845b6971fb.png?resizew=142)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddfff89daefe0c36b444d4e971deb057.png)
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【推荐2】在
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,
是
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56aadf1458daecb860ea53e8fbe031b3.png)
(1)求边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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【推荐3】已知非零向量
、
,满足
,
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.
(1)求向量
、
的夹角;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9620b76a31e8cfef0cd6a2bdb10ffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6066cfde442765af393079d7715476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be64693c2b037c0161886d0c7259fb96.png)
(1)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3357a4707fbe4ef93661a64e88881d40.png)
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