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1 、同学们,函数的奇偶性是什么东西? PowerPoint PPT Presentation


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1 、同学们,函数的奇偶性是什么东西? 世间 万物缤纷 多彩,令人眼花缭乱,让人目不暇接,美不胜收。但有一种美是令人向往的,那就是对称美,在对称美中有两种对称是最让人销魂的,那就是事物关于直线对称与事物关于点对称。函数的奇偶性就是研究函数的图像是关于直线对称还是点对称。比如人体的对称、建筑物的对称如古建筑。椭圆、双曲线的对称。. 2 、数学有三种语言,符号语言、图形语言、文字语言。对于函数的单调性也是这三种语言。 文字语言不严格,被人误会,因为有时候说者无心听者有意。 图形语言有缺陷因为有时候图画不出来。

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1 、同学们,函数的奇偶性是什么东西?

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y=x^nnn

f(x)=x^3+2xf(x)=2x^4+3x^2


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+=+=*=

*=/=/=

/=

f(x)=xg(x)=x2u(x)=x3


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(1)

(2)


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2777

f(x)=1f(x+7)=1f(x+7+7)=1f(x+7+7+7)=1

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f(x+7)=f(x)f(x+7+7)=f(x)f(x+7+7+7)=f(x)

f(x+T)=f(x)

f(x+T)=f(x)f(x+T+T+.)=f(x)T>0T


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f(x)

Tx

f (xT)f(x).

f(x)T

.


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1)y=sinx (2)y=2sinx (3)y=sin2x (4)y=2sin2x

Sin2x sinx2 x22sin2x

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6sincos

1f(x+T)=f(x)

2


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9y=f(x)T

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f(4-x)=f(4+x)f(6-x)=f(6+x)


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