导数五步法画函数图像10个函数示意图应用举例之一
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1.函数y=(12x2+9)(4x2+14)的图像示意图：介绍函数的定义域、单调性、凸凹性、极限等性质及五点图表，并通过导数知识计算函数的单调和凸凹区间，简要画出示意图。
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2.函数y=(19x2+5)√(4x2+9)的主要性质及其图像：介绍函数的定义域、单调性、凸凹性、极限等性质，列举函数的五点图表，进一步画出函数的示意图。
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3.函数y=4√(x+80)^7图像画法及步骤：本文通过函数的定义、单调、凸凹性和极限等性质，介绍函数的主要性质及图像画法步骤。
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4.曲线x³+y³=2的主要性质及其图像示意图：介绍曲线方程的定义域、单调性、凸凹性等性质，同时用导数的知识求解函数的单调区间和凸凹区间，并简洁画出函数的图像示意图。
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5.√(x+4)+√(3y+5)=2的图像示意图：介绍曲线方程的定义域、单调性、凸凹性及极限等性质，同时用导数简洁画出函数的图像示意图。
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6.函数y=16x3+8x的图像示意图及主要性质：介绍函数的定义域、单调性、凸凹性、极限等性质，列举函数的五点图表，进一步画出函数的示意图。
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7.函数y=√(20x-87)^5图像画法及步骤：通过函数的定义、单调、凸凹和极限等性质， 并通过导数知识，介绍函数的主要性质及图像示意图画法步骤。
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8.函数y=log2(-2x+3)的图像示意图：介绍函数的定义域、单调性、凸凹性、极限等性质，列举函数的五点图表，简要画出函数的示意图。
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9.函数y=e^x(3x+4)的图像示意图：本文通过函数的定义、单调、凸凹性和极限等性质，介绍函数的主要性质及图像画法步骤。
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10.函数y=2^4x的图像示意图：介绍函数的定义域、单调性、凸凹性、极限等性质，列举函数的五点图表，进一步画出函数的示意图。
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严巧雅1426函数Y=X+|X|/X的图像是什么 -
邰鬼相15126782435 ______ 解答:分类讨论(1)x>0, y=x+1(2) x<0,y=x-1 所以,图像如下图:
严巧雅1426为什么函数y=g(x)的图像与y=e^x的图像关于直线y=x对称,g(x)=lnx -
邰鬼相15126782435 ______ 关于y=x的两条直线有一个性质,取其中一个直线,用x表示y,y表示x,可得到相对称的另一条直线
严巧雅1426y=x分之6 - 1的函数图像 -
邰鬼相15126782435 ______ Y=6/X-1和图象, 是双曲线Y=6/X图象向下平移一个单位长度得到的.
严巧雅1426y=2x是什么函数图像? -
邰鬼相15126782435 ______ 这个函数图像是一条抛物线. 平面内,到定点与定直线的距离相等的点的轨迹叫做抛物线.其中定点叫抛物线的焦点,定直线叫抛物线的准线. 抛物线是指平面内到一个定点F(焦点)和一条定直线l(准线)距离相等的点的轨迹.它有许多表...
严巧雅1426函数y=(1 - 余弦x)/正弦x 图像的对称中心 写出通式 -
邰鬼相15126782435 ______ 函数y=(1-cosx)/sinx=tan(x/2) x/2=kπ/2,x=kπ,图像的对称中心(kπ,0),k是整数
严巧雅1426为了得到函数y=3*(1/3)^x的图像,可以把函数y=(1/3)^x的图像 -
邰鬼相15126782435 ______ 1、转换函数y=3*(1/3)^x=(1/3)^-1*(1/3)^x=(1/3)^(x-1)2、与函数y=(1/3)^x对比,函数y=3*(1/3)^x是将函数y=(1/3)^x右移一个单位
严巧雅1426如何绘画y=3 cos x的函数图像? -
邰鬼相15126782435 ______ 首先画出[0,2π]的图象,取下列5个点 x 0 π/2 π 3π/2 2π y 1 0 -1 0 1 用光滑曲线连接5点画届[0,2π]的图象 然后再根据周期性逐个画出 此函数的图象可以看作由y=sinx的图象横坐标不变,纵坐标变为原来的3倍
严巧雅1426怎么用EXCEL制作Y=10/X的函数图像 -
邰鬼相15126782435 ______ 函数图像能直观地反映函数的性质,用手工方法来绘制函数图像效果不太好,而用Excel绘制函数图像非常简便,所作图像非常标准、漂亮,具体方法如下: A、首先打开电子表格的操作窗口,然后用鼠标选择菜单栏中的“新建”命令,这时屏...
严巧雅1426求幂函数Y=X^a的图像. (要详细点的) -
邰鬼相15126782435 ______ Y=X^a ∵1^a=1 ∴幂函数图像必过定点(1,1) a>0时 0^a=0,图像过定点(0,0) a为奇数时,Y为奇函数,关于原点对称;a为偶数时,Y为偶函数,关于Y轴对称. ∵Y'=aX^(a-1) ∴a为正奇数时,Y为增函数,a为负奇数时,Y为减函数(分段,-∞→0,0→+∞) a为正偶数时,x负半轴Y为减函数,x正半轴Y为增函数;x负半轴Y为增函数,x正半轴Y为减函数
严巧雅1426画出函数y=x+3的图象. -
邰鬼相15126782435 ______[答案] 把x=0代入解析式y=x+3,可得:y=4, 把y=0代入解析式y=x+3,可得:x=-3, 过点(0,4)和(-3,0)画出图象如图: