已知
、
是关于
的一元二次方程
的两实根,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6767168408db6c2bd0832411827c1558.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f35152720e43c6403d43bef47c0377d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790175972b4d74da08185e3e2317751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6767168408db6c2bd0832411827c1558.png)
18-19高一上·上海奉贤·阶段练习 查看更多[2]
上海市奉贤中学2018-2019学年高一(贯通班)上学期12月份阶段性测试四数学试题(已下线)[新教材精创] 5.5.1两角和与差的正弦、余弦和正切公式练习(2) -人教A版高中数学必修第一册
更新时间:2019-11-14 10:31:07
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解题方法
【推荐1】任何一个复数
(i为虚数单位,
)都可以表示为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ae040082ce4b67e17e14599adffb770.png)
的形式,通常称之为复数z的三角形式.瑞士著名数学家欧拉首先发现
(e为自然对数的底数),此结论被称为“欧拉公式”,它将指数函数的定义域扩大到复数集,建立了三角函数和指数函数的关系.因此可得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cfaea42eec09b42b5439d592ec4cd17.png)
.由复数相等可知对
,存在一个关于t的n次多项式
使得
,这样的多项式被称为“切比雪夫多项式”,由
知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65f96af9020e68e499946cba20e8a408.png)
___________ ;运用探求切比雪夫多项式的方法可得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c62543911cf4948fa3867c1c5505864.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b40b6895776e0807c2baecbc8f33a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
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解题方法
【推荐2】已知
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92dc8ffcfea3803756d315308b7984d6.png)
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解题方法
【推荐1】如图,在单位圆中,
为等边三角形,
、
分别在单位圆的第一、二象限内运动,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eef20269a8559eee8165db306c76cb5.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a761b5ba3e4cec458da0755b445c419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/9af3e309-baac-4f44-8be1-f860e4cd5378.png?resizew=155)
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【推荐2】已知
的内角A,B,C的对边分别为a,b,c,若
,
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________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/901c4fa44b33e2d4522086ce5bd924e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2f9ac7fa148b69448760b9b631745a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
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【推荐3】设α,β∈[0,π],且满足sin αcos β-cos αsin β=1,则sin(2α-β)+sin(α-2β)的取值范围为________ .
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【推荐1】已知A、B、C为
的三个内角,有如下命题:
①若
是钝角三角形,则
;
②若
是锐角三角形,则
;
③若G、H分别为
的外心和垂心,且
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;
④在
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①若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b925cbc2194a19c1830b9dd56cf1c4c5.png)
②若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43382b0a0d559cbce22709bd358d9a87.png)
③若G、H分别为
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a3b926ef8e11e9974ad4fc2272ea5a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb3e7e17515d07dc722186a48b03e841.png)
④在
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其中正确命题的序号是
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