导数五步法画函数图像10个函数示意图应用举例之一
\n\n
\n\n
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。
\n\n
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。
\n\n
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。
\n\n
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。
\n\n
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。
\n\n
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。
\n\n
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。
\n\n
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。
\n\n
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。
\n\n
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。
\n\n
\n\n
![](https://p0.ssl.img.360kuai.com/t015168d7bdc33e02c1.jpg?size=3432x2481)
![](https://p0.ssl.img.360kuai.com/t017f2e1f2daf4a667c.jpg?size=3432x2481)
![](https://p0.ssl.img.360kuai.com/t018fe65fb7f64d8cfb.jpg?size=3432x2481)
![](https://p0.ssl.img.360kuai.com/t01c661160cbf026dc6.jpg?size=3432x2481)
![](https://p0.ssl.img.360kuai.com/t011ac510957e2c014e.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01b6300bde0321b12c.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t010ec62f9edc968eba.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t012ea8cadd7067c59a.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t0135e6b9e5ad5f2723.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t0101a95b931e2c6661.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t0156869fd05f1b9bb9.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01eeb16f6ae9877b62.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01fd234f62dc83b806.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01a7177f0c14cf1b67.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01f3e9bcbfa66207be.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t0111341fafd83e8b23.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01b12ae4529c0fc1a5.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01c2d414e70ce33022.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01a6435466e13d89c7.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t0179a153481db89522.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t013f7979ab67311565.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t012871721b42a710c1.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t013b8fb94c7da143c9.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t015c6380a9e4dd5da4.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01c8edbb39b9d7fe87.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t0122b1ab788e519a35.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01b446dfdddb35e4bf.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01651411583c303362.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t0126094f1ca9ed1956.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t018fabf5214cdfc785.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t015b3f1e97b4dbe1ae.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01190830f3a32242fd.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01f1055028c526dd9d.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01e3ef63beab75c785.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t011dde9de6ce8a849b.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t019e8dbf2156e3031f.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t017d660aed63d492fa.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t017d660aed63d492fa.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t0173f2a15f98505230.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t0121e883d03506ad7f.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01fd20ffaf7942432d.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t0174518a47ce9dd664.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t013e8e7b19fa695693.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t0130fe2d9574be5db9.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t0143c4b32aae3b438c.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01f74b752f697884fa.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t0117c554a911c21419.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t0141cfbe536892d640.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01d396d571728906e5.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t01c87a38b737bd03fb.jpg?size=3509x2481)
![](https://p0.ssl.img.360kuai.com/t018eaaf25c81dbece5.jpg?size=3509x2481)
","gnid":"9758824ec7671aa4d","img_data":[{"flag":2,"img":[{"desc":"","height":925,"title":"","url":"https://p0.ssl.img.360kuai.com/t01a370aba0dc0184ae.jpg","width":1280},{"desc":"","height":925,"title":"","url":"https://p0.ssl.img.360kuai.com/t01fe729509bf6963a8.jpg","width":1280},{"desc":"","height":925,"title":"","url":"https://p0.ssl.img.360kuai.com/t01c644eeab94a0efe6.jpg","width":1280},{"desc":"","height":925,"title":"","url":"https://p0.ssl.img.360kuai.com/t013539215e0a83c2a4.jpg","width":1280},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t011ac510957e2c014e.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01b6300bde0321b12c.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t010ec62f9edc968eba.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t012ea8cadd7067c59a.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t0135e6b9e5ad5f2723.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t0101a95b931e2c6661.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t0156869fd05f1b9bb9.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01eeb16f6ae9877b62.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01fd234f62dc83b806.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01a7177f0c14cf1b67.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01f3e9bcbfa66207be.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t0111341fafd83e8b23.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01b12ae4529c0fc1a5.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01c2d414e70ce33022.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01a6435466e13d89c7.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t0179a153481db89522.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t013f7979ab67311565.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t012871721b42a710c1.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t013b8fb94c7da143c9.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t015c6380a9e4dd5da4.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01c8edbb39b9d7fe87.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t0122b1ab788e519a35.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01b446dfdddb35e4bf.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01651411583c303362.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t0126094f1ca9ed1956.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t018fabf5214cdfc785.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t015b3f1e97b4dbe1ae.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01190830f3a32242fd.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01f1055028c526dd9d.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01e3ef63beab75c785.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t011dde9de6ce8a849b.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t019e8dbf2156e3031f.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t017d660aed63d492fa.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t017d660aed63d492fa.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t0173f2a15f98505230.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t0121e883d03506ad7f.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01fd20ffaf7942432d.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t0174518a47ce9dd664.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t013e8e7b19fa695693.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t0130fe2d9574be5db9.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t0143c4b32aae3b438c.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01f74b752f697884fa.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t0117c554a911c21419.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t0141cfbe536892d640.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01d396d571728906e5.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t01c87a38b737bd03fb.jpg","width":"3509"},{"desc":"","height":"2481","title":"","url":"https://p0.ssl.img.360kuai.com/t018eaaf25c81dbece5.jpg","width":"3509"}]}],"original":0,"pat":"pdc,art_src_0,fts0,sts0","powerby":"pika","pub_time":1711495200000,"pure":"","rawurl":"http://zm.news.so.com/7339c860ffebb01ebf215d79eb02f630","redirect":0,"rptid":"65e62da3ddba0208","rss_ext":[],"s":"t","src":"仁新数学","tag":[],"title":"导数五步法画函数图像10个函数示意图应用举例之一
麻红聂4151y=|x^2 - 4x|的函数图像怎么画? -
蓟袁哗17680295757 ______ y=x^2-4x y=0 x=0 x=4 先做出y=x^2-4x的图形 y=(x-2)^2-4 顶点(2,-4) 与x轴交点(0,0) (4,0) x在0和4之间y<0 将0<x<4间的图像以x轴对称画到x轴上方 即可
麻红聂4151y=x^1/4图像 -
蓟袁哗17680295757 ______[答案] 如图,
麻红聂4151二次项函数y=x^ - 4的图像平移2个单位,得到的新的二次项函数表达式是.关键是步骤. -
蓟袁哗17680295757 ______[答案] 上下平移还是左右平移 上y=x^2-2 下y=x^2-6 左 y=(x+2)^2-4 右 y=(x-2)^2-4
麻红聂4151y=x|x - 4|的函数图像 -
蓟袁哗17680295757 ______[答案] x4,y=x^2-4x
麻红聂4151如何求二次函数y=X^2+4的图像与y轴的交点坐标 -
蓟袁哗17680295757 ______[答案] y轴交点处,x=0,代入函数y=4,所以交点坐标(0,4).
麻红聂4151y=x^2 - 4|x|+1的图像怎么画? -
蓟袁哗17680295757 ______[答案] 这是一个图像变换的问题 y=x^2-4|x|+1=|x|^2-4|x|+4-3=(|x|-2)^2-3 所以从y=x^2这个最最基本的图像变换: y=(x-2)^2 是把y=^2的图像向右平移2个单位 y=(x-2)^2 -3是把y=(x-2)^2 的图像向下平移3个单位 最后说绝对值: 去掉y=(x-2)^2 -3图像的y轴左侧的部...
麻红聂4151y=x平方+4x+4 图像五个点、及图像、 -
蓟袁哗17680295757 ______[答案] 开口向上的抛物线,顶点(-2,0), 对称轴x=-2 (-4,4) , (-3,1), (-2,0) , (-1,1), (0,4)
麻红聂4151已知函数Y=X的平方 - 4x+3 (1)画出图函数图像(2)观察图像,当x取哪些直值时,函数值为0?只注重第二问 (2)观察图像,当x取哪些直值时,函数值为0? -
蓟袁哗17680295757 ______[答案] y=x^2-4x+3=(x-1)*(x-3),当y=0时,(x-1)*(x-3)=0,所以x=1或x=3
麻红聂4151y=xe的x次方图像应该怎么画? -
蓟袁哗17680295757 ______ y等于e的x次方是一种指数函数,其图像是单调递增,x∈R,y>0,与y轴相交于(0,1)点,图像位于X轴上方,第二象限无限接近X轴,如下图所示: /iknow-pic.cdn.bcebos.com/c995d143ad4bd11385d3683657afa40f4bfb059c"target="_blank...
麻红聂4151y=X的平方 - 4|X|图像怎么画 还有y=|X - 4|X 怎么画, 请给出图像 谢谢. -
蓟袁哗17680295757 ______[答案] 1.y=X²-4|X|图像怎么画 x≧0时,y=x²-4x=(x-2)²-4,这是一条顶点在(2,-4),开口朝上,与x轴交于(0,0)和(4,0) 的抛物线,图在y轴的右边(x≧0).①; x≦0时,y= x²+4x=(x+2)²-4,这是一条顶点在(-2,-4),开口朝上,与x轴交于(0,0)...