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
","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
邬严亭5171函数图像及其性质 -
官亲厚15138908584 ______ 三角函数是数学中属于初等函数中的超越函数的一类函数.它们的本质是任意角的集合与一个比值的集合的变量之间的映射.通常的三角函数是在平面直角坐标系中定义的,其定义域为整个实数域.另一种定义是在直角三角形中,但并不完全....
邬严亭5171高一必修一数学各种函数图像怎么画.例x减 -
官亲厚15138908584 ______ 答:画图实际上是一个非常简单的过程.只要是在坐标系中找好关键的对应点,其余的部分,大概知道图形的方向就可以了.1、画直线:主要是抓住两点:1.与x轴的交点;2.与y轴的交点;这两点连一直线即是图形. 2、画二次曲线:主要是抛物线;1、确定抛物线的顶端;2、开口方向;3、与x轴和y轴的交点(如果没有交点就更好画了);这四个点画准,根据x和y的值,找到相应的点,圆滑连结起来,就是函数的图像;除上述四个点之外,其它知道大概的方向画上去就可以.其它二次曲线比抛物线都要容易许多.主要抓住关键点就很容易画图.多练几次就熟练了.熟练了,什么图也都不在话下了.
邬严亭5171初中所有函数的图象和性质表格 -
官亲厚15138908584 ______ 1、一次函数y=kx+b(k≠0) k>0 k 图象 ( 向上走直线 )( 向下走 ) 增减性( 单调递增 )( 单调递减 ) 与轴的交点 与x轴交点坐标(-b/K,0) 与y轴交点坐标(0,b) 2、二次函数y=ax平方+bx+c(a≠0) 图象 a>0 a 顶点( -b/2a,(4ac-b^2)/4a ) 与y轴交点( c,0 ) 开口方向( 向上 )( 向下 ) 对称轴( X=-b/2a ) 最值( 最小值(4ac-b^2)/4a )( 最大值(4ac-b^2)/4a ) 增减性( 先减后增 )( 先增后减 )
邬严亭5171初中所有函数列表总结?
官亲厚15138908584 ______ 反函数 就关系而言,一般是双向的 ,函数也如此 ,设y=f(x)为已知的函数,若对每个y∈Y,有唯一的x∈X,使f(x)=y,这是一个由y找x的过程 ,即x成了y的函数 ,记为x=f -1(y).称f -1为f的反函数.习惯上用x表示自变量 ,故这个函数仍记为y=f -1(x...
邬严亭5171二次函数有哪几种图像 -
官亲厚15138908584 ______[答案] 二次函数的图像是抛物线.它是一条轴对称图形.1)当二次项系数a大于0时开口向下.在对称轴的左侧y随x的增大而减小,在对称轴的右侧y随x的增大而增大,因此有最小值.2)当二次项的系数a小于0时,开口向上,在对称轴的左侧y随...
邬严亭5171函数分为几类,每类的算法以及定义
官亲厚15138908584 ______ 一次函数y=kx+b,图像是一条直线.二次函数y=ax^2+bx+c,图像为抛物线.指数函数y=a^x,图像是一条弧线,对数函数y=loga(x),图像也是一条弧线.
邬严亭5171求高一数学必修一中的所有函数及图像还有性质等内容,就像总结....
官亲厚15138908584 ______ 1.一次函数(包括正比例函数) 最简单最常见的函数,在平面直角坐标系上的图象为直线. 定义域(下面没有说明的话,都是在无特殊要求情况下的定义域):R 值域:R 奇偶性:无 周期性:无 平面直角坐标系解析式(下简称解析式): ①ax...
邬严亭5171高中函数图象的画法,急急急急急,帮帮忙 -
官亲厚15138908584 ______ 只要记住六个最基本函数的图像,其他就都在其基础上就可以画出了 六个基本函数是:一次函数,二次函数,三角函数,指数函数,对数函数,反比例函数 其中一次函数是一条直线,二次函数是一条抛物线,三角函数中正弦和余弦函数是周期性有界函数,正切函数是在周期内递增的函数,指数和对数函数是单调的曲线,反比例函数是分布在两个相对的象限的一组双曲线 其他所有函数都是在其基础上变换得到的,包括那些分段函数,画的话就是描点连线呗
邬严亭5171函数图象
官亲厚15138908584 ______ 对函数图象首先心中有数,最常用的是描点法画图,即列表再描点.找出函数与自变量之间的关系,列表时,自变量在上,函数值在下,点越多,则图象越精确,你的情况是点少,建议多列出几个点,就可以克服你的问题.快捷准确地画出函数图像是学习函数的基本功.除要掌握描点法画图的步骤外,还需掌握快速画各种函数草图的方法.如两点确定一次函数的图像――直线;对称法画反比例函数的图像;三点定位法或五点定位法画二次函数的图像.另外,在画函数图像时,还要注意函数自变量取值范围对图像的影响,有时画出来的图像,只是整个函数图像的一部分.另外还可以利用模型.
邬严亭5171高一必修一数学各种函数图像怎么画.例x减一分之一 -
官亲厚15138908584 ______[答案] 高一必修一数学各种函数图像大多是可以由基本初等函数图像得到,如平移(上下,左右),伸缩(拉长,压缩) y=(x-1)分之1的图像就可以由 反比例函数y=x分之1的图像 向右 平移一个单位长度得到