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1 . 某同学在一次研究性学习中发现,以下五个式子的值都等于同一个常数:
①
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1abed0bd12b3413ca1392595f5617b3.png)
③
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc21026b55a98db4d2f7bf89f3093bf.png)
⑤![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642e9a4223aedbb5a3c02d9dc883df8a.png)
(1)试从上述五个式子中选择一个,求出这个常数;
(2)根据(1)的计算结果,将该同学的发现推广为三角恒等式,并证明这个结论.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba95ab0173edb001f3ef85e98114e33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1abed0bd12b3413ca1392595f5617b3.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211f1dca0a5b6e1f22c20434b74b84c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc21026b55a98db4d2f7bf89f3093bf.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642e9a4223aedbb5a3c02d9dc883df8a.png)
(1)试从上述五个式子中选择一个,求出这个常数;
(2)根据(1)的计算结果,将该同学的发现推广为三角恒等式,并证明这个结论.
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2020-05-04更新
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44次组卷
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2卷引用:陕西省宝鸡市金台区2021-2022学年高二下学期期中理科数学试题