已知向量
满足
,函数
.
(1)求
的单调区间;
(2)已知数列
,求
前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc58999f004e080bb981fad0f4d7e620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c8e5440b54aaa484e35b7258e4c6906.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4cbccbb9cfbc3804643b0d14a171095.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9a0d7150fb24be3e28ef7f0e18be93.png)
更新时间:2017-10-12 17:54:50
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相似题推荐
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐1】已知函数
.
(1)求函数f(x)的最小正周期T及
的值;
(2)若关于x的方程
在
上有2个解,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae439d886fe8a1018a721cb88a7398f.png)
(1)求函数f(x)的最小正周期T及
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d29aa82b623c3e269ac0fd9ea25d44e.png)
(2)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c6c40a86e34278ecfe43ee4af2dd0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67cfbc3d95b19e1592ef1724245cfaa4.png)
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适中
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解题方法
【推荐2】在
中,角
,
,
的对边分别是为
,
,
,
;
(1)求
;
(2)若
,
,
为
内切圆的圆心,
,求
的值.
![](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/2fddfa444522098797986a6bea41d21e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019eb94a6a2b38308811470d860e1a20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae7888d643678ea18f83f3237732052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f6aebbd26b65f4f1395a8f31129a6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
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【推荐3】已知函数
.
(1)求函数
的是小正周期及单调减区间;
(2)求函数
在区间
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4f872603f26518a00f27ed91d580c6.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/f51f8dea12d1325fd657eb9875823b20.png)
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适中
(0.65)
【推荐1】如图,在
中,
,且
,
交
于点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af00a2603bb1c492527537d60949c76c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/a2418ab5-bce5-42cf-9700-074aabe61b74.png?resizew=231)
(1)求
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2fa9ccbb5775beb7870aa72f8aeb5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd043e9f6c9b9c29d82db162a8619b8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af00a2603bb1c492527537d60949c76c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/a2418ab5-bce5-42cf-9700-074aabe61b74.png?resizew=231)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8f8340f920decb68b1c4a1fa99488c8.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f74298a91b95ddf6a114d281a597d4.png)
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【推荐2】设向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f6486933fe3c2459cb13943244a088.png)
,
=(1,sinx-cosx),其中x∈R,函数
.
(1)求f(x)的最小正周期;
(2)若f(θ)
,其中0<θ
,求cos(θ+
)的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f6486933fe3c2459cb13943244a088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119d134f03ebc1ca0a41e1506d4eec71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d9e69d5f0c8566edfb0ac3937b8c4a.png)
(1)求f(x)的最小正周期;
(2)若f(θ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ada26e9b7fe22be819d675f72e086ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9b6d6b3ebda8727d7893714eda277ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
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适中
(0.65)
解题方法
【推荐1】已知等差数列
的公差
,且
、
、
成等比数列.
(1)求数列
的通项公式;
(2)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c1344592c925b273f2cb9b9e47ebbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc17ca3ab612ea9cf6cfa1eea53cb1eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d870654750957f722808d2edb836b40.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea7edf8285e5dcc6bdbdfd9fc01a4a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd85b79372dc6e596d465f738c3c300.png)
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【推荐2】已知等差数列
的公差与等比数列
的公比相同,
,
为数列
的前
项和,
.
(1)求
和
的通项公式;
(2)记数列
是将数列
和
中的项从小到大依次排列而成的新数列(相同的数排列两次),求数列
前50项的和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebaf2a2590bb84d646957f913d78f6dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09af4ec36b53aeb644ed16cfe725957.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc1e7a87da7751da31f851ae6d46aff.png)
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适中
(0.65)
【推荐1】已知
在区间
上单调,满足
,对任意的
,都有
.
(1)求
的解析式;
(2)设
,求
在
上单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e3a55cf0d372892f142e4f6c4bc03f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de61beef37debaa8190167d0592d0ccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08bfad23fa40a061b6d7609ef51b03fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad4addf84851ba269630a9b86bca03b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71faffa251720da4a800b5f5dc3aa666.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01dc2d99655cf7598837cb0886166ed.png)
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【推荐2】已知
,向量
,
,且
.
(1)若函数
的最小正周期是
,求
的单调增区间;
(2)已知
,若
是函数
的图像的一条对称轴,求
的周期和值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e03cb31c67746f408073d79dcc55e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb7ed45b3c16d4d0182a676f5ce69975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbadb801b4df353885a517d465a3929.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e2d7c958e99bcd9d7f251c19ee3544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/746f59e58b18a2020c17d926df7f2d27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c6cb0cc172657611e286e7fa669584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
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