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1、（高数）基本初等函数图像与性质1.函数的五个要素：自变量，因变量，定义域，值域，对应法则2.函数的四种特性：有界限，单调性，奇偶性，周期性3.每个函数的图像很重要一、幂函数axy(a 为常数）最常见的几个幂函数的定义域及图形1.当 a 为正整数时，函数的定义域为区间(,)x，他们的图形都经过原点，并当a1 时在原点处与x轴相切。且a 为奇数时，图形关于原点对称；a 为偶数时图形关于y轴对称；2.当 a 为负整数时。函数的定义域为除去x=0 的所有实数。3.当 a 为正有理数mn时，n为偶数时函数的定义域为(0,)，n为奇数时函数的定义域为(,)。函数的图形均经过原点和(1,1)；如果mn图形于
2、x轴相切,如果mn,图形于y轴相切,且m为偶数时,还跟y轴对精品资料-欢迎下载-欢迎下载 名师归纳-第 1 页，共 4 页 -称;m，n均为奇数时,跟原点对称。4.当 a 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。二、指数函数xay(a是常数且01aa，)，),(x图形过（0，1）点，a1 时，单调增加；0a1 时，单调减少。今后用的较多。三、对数函数xyalog(a是常数且01aa，)，(0,)x；精品资料-欢迎下载-欢迎下载 名师归纳-第 2 页，共 4 页 -文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J
3、10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:
4、CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 H
5、I3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX
6、7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编
7、码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8
8、 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4
9、ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1四、三角函数正弦函数xysin，),(x，1,1y，余弦函数xycos，),(x，1,1y，正切函数xytan，2kx，kZ，),(y，余切函数xycot，kx，kZ，),(y；五、反三角函数反正弦函数xyarcsin，1,1x，2,2y，反余弦函数xyarccos，1,1x，,0y，精品资料-欢迎下载-欢迎下载 名师归纳-第
10、3 页，共 4 页 -文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档
11、编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q
12、8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4
13、 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1
14、文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L
15、4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2
16、H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1反正切函数xyarctan，),(x，)2,2(y，反余切函数xycotarc，),(x，),0(y：阿尔法Alpha ：贝塔Beta：伽玛Gamma ：德尔塔Delte：艾普西龙Epsilon ：捷塔Zeta ：依塔Eta ：西塔Theta
17、：艾欧塔Iota ：喀帕Kappa ：拉姆达Lambda ：缪 Mu ：拗Nu ：克西Xi ：欧麦克轮Omicron ：派Pi：柔Rho ：西格玛Sigma：套Tau ：宇普西龙Upsilon ：fai Phi ：器 Chi ：普赛Psi ：欧米伽Omega 精品资料-欢迎下载-欢迎下载 名师归纳-第 4 页，共 4 页 -文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4
18、Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H
19、4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I
20、1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6
21、L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F
22、2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L
23、1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1文档编码:CV4W3Q6L4Q8 HI3J3D8F2H4 ZX7J10R3L1I1