数学公式里面,ch,sh代表什么?

2025-01-31 07:32:38
推荐回答(5个)
回答1:

sh表示双曲正弦函数,一般记作sinh,也可简写成sh。

ch表示双曲余弦函数,一般记作cosh,也可简写为ch。双曲正弦函数和双曲余弦函数是双曲函数中最基本的两种,由这两个函数可推导出双曲正切函数等。

双曲正弦函数的定义式为:sinh=(e-e)/2。当x的绝对值很大时,双曲正弦函数的图形在第一象限内接近于曲线y=e/2,在第三象限内接近于曲线y=-e/2。当x=0时,sinhx=sinh0=0。双曲余弦函数的定义式为:cosh=(e+e)/2。当x=0时,cosh0=1是该函数的最小值。


扩展资料:

双曲正弦函数在区间内它是单调增加的。证明如下:查双曲函数的导数公式,得到:而双曲余弦函数的值域是。无论取何值,的值永远大于0。可见,双曲正弦函数在内永远是单调递增的。

从原点发出的射线与单位双曲线相交于点(cosh a,sinh a)。这里的a为射线、双曲线和x轴围成的面积的两倍。对于双曲线上位于x轴下方的点,这个面积被认为是负值。其中,cosh a就是a的双曲余弦函数。

参考资料:百度百科——双曲余弦函数

                   百度百科——双曲正弦函数

回答2:

sh:双曲正弦 常记作sinh
ch:双曲余弦 常记作cosh
shx=(e^x-e^(-x))/2
Chx=(e^x+e^(-x))/2

回答3:

sh:双曲正弦,ch:双曲余弦

shx=(e^x-e^(-x))/2
chx=(e^x+e^(-x))/2

这个就和sinx cosx 一样的啊,符号而已

回答4:

数学公式里面,sh(双曲正弦),ch(双曲余弦),tg或tanh(双曲正切),cth或coth(双曲余切),sech(双曲正割),csch或cosech(双曲余割)...
有点深奥,不知你能不能看懂

回答5:

sh:双曲正弦,ch:双曲余弦

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