1 . 降噪耳机主要有主动降噪耳机和被动降噪耳机两种.其中主动降噪耳机的工作原理是:先通过微型麦克风采集周围的噪声,然后降噪芯片生成与噪声振幅相同、相位相反的反向声波来抵消噪声(如图所示).已知某噪声的声波曲线是
,其中的振幅为2,且经过点
.
![](https://img.xkw.com/dksih/QBM/2022/4/5/2951767875977216/2955689126903808/STEM/75ab2442bd2e4ecb88154d338621888f.png?resizew=223)
(1)求该噪声声波曲线的解析式
以及降噪芯片生成的降噪声波曲线的解析式
;
(2)先将函数
图像上各点的横坐标变为原来的
倍,纵坐标不变,再将所得函数图像向右平移
个单位,得到函数
的图像,当
时,函数
恰有两个不同的零点
,求实数
的范围和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2aa5774617ee24df7a438e4c318040.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48befa5d90fafd8bfdb6c90fd241ebfb.png)
![](https://img.xkw.com/dksih/QBM/2022/4/5/2951767875977216/2955689126903808/STEM/75ab2442bd2e4ecb88154d338621888f.png?resizew=223)
(1)求该噪声声波曲线的解析式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)先将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f28d028082ab750e33cba64c1c3138.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98fd83e83260a5d7394e2ca12284b925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670a1839232ec485ca01d0323e9c25.png)
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2022-04-11更新
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2卷引用:天津市第四中学2022-2023学年高二上学期入学摸底考试数学试题