【经典】初等函数图象及性质&三角函数公式（word格式）---免币

chijiaoshunv

【经典】初等函数图象及性质&三角函数公式.rar (156.2 KB, 下载次数: 54)

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个人很喜欢，图像很精致.

初等函数

1、基本初等函数及图形

基本初等函数为以下五类函数：

(1)   幂函数 file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image002.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image004.gif是常数；

1.当u为正整数时，函数的定义域为区间file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image006.gif，他们的图形都经过原点，并当u>1时在原点处与X轴相切。且u为奇数时，图形关于原点对称；u为偶数时图形关于Y轴对称；2.当u为负整数时。函数的定义域为除去x=0的所有实数。3.当u为正有理数m/n时，n为偶数时函数的定义域为（0, +file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image008.gif），n为奇数时函数的定义域为（-file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image008.gif+file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image008.gif）。函数的图形均经过原点和（1 ,1）.如果m>n图形于x轴相切,如果m<n,图形于y轴相切,且m为偶数时,还跟y轴对称;m,n均为奇数时,跟原点对称.4.当u为负有理数时,n为偶数时,函数的定义域为大于零的一切实数;n为奇数时,定义域为去除x=0以外的一切实数.

file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image010.jpg

(2)    指数函数
file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image012.gif (file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image014.gif是常数且file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image016.gif)，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image006.giffile:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image018.gif；

1. 当a>1时函数为单调增,当a<1时函数为单调减. 2. 不论x为何值,y总是正的,图形在x轴上方. 3. 当x=0时,y=1,所以他的图形通过(0,1)点.

file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image020.jpgfile:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image021.jpg

(3) 对数函数 file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image018.giffile:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image024.gif(file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image014.gif是常数且file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image016.gif)，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image026.gif；

1. 他的图形为于y轴的右方.并通过点(1,0) 2. 当a>1时在区间(0,1),y的值为负.图形位于x的下方,在区间(1, +file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image008.gif),y值为正,图形位于x轴上方.在定义域是单调增函数.a<1在实用中很少用到/

file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image028.jpgfile:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image030.jpg

(4) 三角函数

正弦函数  file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image032.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image006.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image034.gif，

file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image035.jpg

余弦函数
file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image037.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image006.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image034.gif，

file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image040.jpg

正切函数  file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image042.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image044.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image046.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image048.gif，

file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image050.jpg

余切函数  file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image052.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image054.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image046.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image048.gif；

file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image057.jpg

(5) 反三角函数

反正弦函数  file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image059.gif，  file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image061.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image063.gif，

file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image065.jpg

反余弦函数  file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image067.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image061.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image070.gif，

file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image071.jpg

反正切函数  file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image073.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image006.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image075.gif，

file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image076.jpg
反余切函数  file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image078.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image006.gif，file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image080.gif．
file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image081.jpg


file:///C:/DOCUME~1/ADMINI~1/LOCALS~1/Temp/msohtml1/01/clip_image083.gif

kakapo

LZ传的是什么啊，打不开，白花了论坛币

chijiaoshunv

2# kakapo


您好，很抱歉，我也不知道是什么原因导致下载不成功。

我现在试着把图像和公式粘贴到本页面，看看行不行

chijiaoshunv

很抱歉，图像显示不了
我已经尽力了，下次有好东东，我会陆续分享的

downloads

have a look

noka14

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cythb

啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊

cythb

啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊啊

张俊踏雪

谢谢楼主啊~~~~