设函数
.
(1)求
的最小正周期;
(2)讨论
在区间
上的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29d720e7557b0621e8d8098875e76db.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75182d6175274fbc185f3e94574e9283.png)
更新时间:2017-09-29 14:19:06
|
相似题推荐
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐1】已知向量
,函数
.
(1)求函数
的最小正周期和最大值;
(2)设
是
的内角平分线,
,且
都有
,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f313b03a6d570322304964e36b8c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e7b2150ed88d3ffdec3d142617eacf.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/739e0298cf1b10450a1df93b54bd69cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ec47cc7e584e0720d0edbf55338a5d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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适中
(0.65)
解题方法
【推荐2】已知向量
,
,设函数
,
.
(Ⅰ)求
的最小正周期与最大值;
(Ⅱ)在
中,
分别是角
的对边,若
的面积为
,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/204a307c582e21ed540d98ef190c8470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ba6e2f70065a6e358022e84a00cc3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26c2087e3a2711f42846403839c200e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a68372ffd8bb5f4c2fd04c3fd4f17e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
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解答题-问答题
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适中
(0.65)
名校
解题方法
【推荐1】由倍角公式
,可知
可以表示为
的二次多项式,对于
,我们有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eacac11729788b222358d28ba0d8848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5b6de5c8e064db02a0fbc4d21b4acd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/622111c292b900a04809879e51ebe1ad.png)
.
可见
可以表示为
的三次多项式.
(1)对照上述方法,将
可以表示为
的三次多项式;
(2)若
,解关于x的方程
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32eac4b7f177c041219fab18de973c5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ba9745c01bcc7c3b62a4ee6dd60a3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66db91bb3be9e2b6ad567774e3699758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2d6c547202109017a8fd210e12b32ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eacac11729788b222358d28ba0d8848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5b6de5c8e064db02a0fbc4d21b4acd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/622111c292b900a04809879e51ebe1ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17cd97e7a14cd3a4f90bdb5c86fca48.png)
可见
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2d6c547202109017a8fd210e12b32ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66db91bb3be9e2b6ad567774e3699758.png)
(1)对照上述方法,将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/864590e14d56eac2957323152c6b4b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a48345d239aaf8e9ca1ff2846c08a99.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d49ec515fb1fdc93ca4dda443326ad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17077d9196b7fa0f06864e690ddd978f.png)
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【推荐2】已知
.
(1)求
在
上的单调递增区间;
(2)已知锐角
内角
,
,
的对边长分别是
,
,
,若
,
.求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bdab1e389d036f102bde4cc6dd816da.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
(2)已知锐角
![](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/63ee61e64fece28f3c7b274edbc82bd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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适中
(0.65)
【推荐3】已知函数
的定义域为
,值域为 [ -5,1 ],求常数a、b的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14bf98041f07fcd771606feb5ac52829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b76d42dfb08791baddae7a57982fb60b.png)
您最近一年使用:0次
解答题-问答题
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适中
(0.65)
解题方法
【推荐1】设向量
,
(1)求函数
的最小正周期及单调递增区间;
(2)若函数
在
上有两个零点,求实数m的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82e440e575b5b13f2b9f6e857244d3a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2be2dd167392a87d125bfd91ab3cb396.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd1017814e9883c21b17e43703a7272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
您最近一年使用:0次
解答题-问答题
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适中
(0.65)
【推荐2】设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a4ec68a8c6980548502e08d0a3b25c.png)
(1)当
时,求函数
的单调递增区间;
(2)当
时,求函数
在
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a4ec68a8c6980548502e08d0a3b25c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be36a60c4a56fe62e55ea53edf93ff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59f32d676949a7da28f86ff3f3b3fe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338827a9ad855e69484fbfefe1b7ee13.png)
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适中
(0.65)
【推荐3】已知函数
.
(1)求函数
单调递减区间;
(2)将函数
的图象向右平移
个单位长度后得到函数
的图象,求
在
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89bbe963d54d3bb0f0a649689b34a3d5.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
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