已知向量
,
.函数
的图象关于直线
对称,且
.
(1)求函数
的表达式:
(2)求函数
在区间
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee2e3329a97d5059ecf8aa90be9a1243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937d45a504c9051aa600c29279771db3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae9f908aabcd9d9c46a0ecdfd1d6c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d729d4e273ddcbb1a1b7ec3f152c2b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7a8cf5ffd166bffe36c1538d157a7bf.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3b0787c72429b6bce8d9719446ea82.png)
更新时间:2020-03-04 17:40:44
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名校
【推荐1】已知向量
,
,设函数
.
(1)求函数
的最小正周期.
(2)已知
,
,
分别为三角形
的内角对应的三边长,
为锐角,
,
,且
恰是函数
在
上的最大值,求
和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f357086bace6aac6e1d62d464ce0383f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bbe94b856c1148fe68c74fb3005334a.png)
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(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)已知
![](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/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd5b9bbd3d22bd2cef53dd4b9691257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3292a7444b7e76515cee05ffe1eea50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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【推荐2】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ce2262f09611af0de4de1976b364ed.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/d010ae1c-5592-4f61-b2ab-87440ad23ca6.png?resizew=206)
(Ⅰ)用“五点法”画出它在一个周期内的闭区间上的图象(完成横、纵坐标列表);
(Ⅱ)写出函数
图象的单调递增区间与最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ce2262f09611af0de4de1976b364ed.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/d010ae1c-5592-4f61-b2ab-87440ad23ca6.png?resizew=206)
(Ⅰ)用“五点法”画出它在一个周期内的闭区间上的图象(完成横、纵坐标列表);
(Ⅱ)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
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【推荐1】用“五点法”画函数
在同一个周期内的图像时,某同学列表并填入的数据如下表:
(1)求
的值及函数
的表达式;
(2)已知函数
,若函数
在区间
上是增函数,求正数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/113f888f8ad8bfc0a3e2c0392dc304c1.png)
0 | |||||
0 | 2 | 0 | -2 | 0 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa4a16560d1d245bf8999694e7a0a105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ccc396de3461a39761d648225d890d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐2】在已知函数
,
.(其中
,
,
)的图象的周期为
,且图象上一个最低点为
.
(1)求
的解析式;
(2)求
的对称轴方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5e2a383cb47eb87493e86c8c40caf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93778ac16acb542c259b9c4c49b410b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56c743c061aa50c9061dad3d92f9bce.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解答题-问答题
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【推荐1】已知
、
、
为同一平面内的三个向量,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6569e50f43b3d8645652ecc13b62066e.png)
(1)若
,且
,求
;
(2)若
,且
与
垂直,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/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6569e50f43b3d8645652ecc13b62066e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cb20440159e06837fc28ca0a6f6217d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b64d7bff136866e36cfd8468dc46c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4c996dee85e4c876bd2b95d659a097.png)
![](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/433b94c39737727e53468df419d8314a.png)
您最近一年使用:0次
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【推荐2】已知向量
,
,
.
(1)若
,求函数
的对称中心;
(2)若
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cccd7b346954551c0cb56ce3bfd5dbc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d71b51d4e02ac6e8ac9b0a3bc1c90e46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae9f908aabcd9d9c46a0ecdfd1d6c12.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfcd0189b0afd4c4167cc510c006fb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b158cb053a6d6b0f8ac53bb52cc7e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f63dc02238b087ff47e9aa5bf6759d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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