名校
解题方法
1 . 在现实生活中,一个符合实际的函数模型经常是将不同的函数组合得到的,如听音乐家演奏音乐时,我们听到的声音常常就是多种不同乐器产生的声波叠加的结果.在学习了向量和三角函数后,人大附中某研学小组利用所学知识研究若干振幅相同,同频同向的简谐波叠加后,得到新的简谐波的振幅和初相规律,该小组把
(N为正整数)叠加,研究
中的
和
,其中
.
(1)当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
______ .
(2)当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2073aefa188a89d515b9d32de5d89c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e289d2f03b9a42c8f61858f1c3b32e1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d52d236ed8d14f8135a0a63d41a351fe.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb55d413f1ab722e17747c8e99f6c59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/722068b39032dd59c01afdba985d65be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
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名校
解题方法
2 . 定义集合
的“长度”是
,其中a,
R.已如集合
,
,且M,N都是集合
的子集,则集合
的“长度”的最小值是_____ ;若
,集合
的“长度”大于
,则n的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3296f5d3fbd7177849bbd7bd30fbd3a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7701d084d2b153bbea08cfbf63413a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2532b1aa9a6b334d7395fc020bf0a6be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2512da0056b913e36a72419c91a5d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640f4732df2e4b84c5e98b47e37d4e65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c81919684bc4047d376c7e57dc6c8f1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc8032a17aee665217899ed88652375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ae18508906c21d3e1199f231b1a9a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
您最近一年使用:0次