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":"cache","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
曲胃有1746一次函数y=kx+b(k≠0)的图象经过点A( - 1,2)和点B(0,4).(1)求出这个一次函数的解析式;(2)画出一次函数图象;(3)求一次函数图象与x轴、y轴所围成的三... -
富春眨19466446810 ______[答案] (1)依题意得: -k+b=2b=4, 解得 k=2b=4, 所以该一次函数的解析式为y=2x+4, (2)画出一次函数图象: (3)一次函数图象与x轴、y轴所围成的三角形的面积为: S= 1 2*2*4=4.
曲胃有1746已知一次函数y=kx+b的图象如图所示,当y<0时,x的取值范围是______. -
富春眨19466446810 ______[答案] 根据图象和数据可知,当y<0即图象在x轴下侧,x<1. 故答案为x<1.
曲胃有1746函数y=2x+1的图像关于直线y+x=0对称的图像对应的函数是什么 -
富春眨19466446810 ______ y=2x-1是函数y=2x+1的图像关于直线y+x=0对称的图像对应的函数
曲胃有1746已知一次函数y=kx+b(k≠0)的图象经过A(3, - 1)和B( - 2,4);(1)求这个函数的解析式;(2)求该函数图象与y轴的交点C和与x轴的交点D的坐标;(3)求△OCD的... -
富春眨19466446810 ______[答案] (1)将两点代入得: −1=3k+b4=−2k+b,解得: k=−1b=2, ∴函数解析式为:y=-x+2. (2)令x=0,得:y=2,令y=0,得:x=2; ∴C(0,2),D(2,0). (3)△OCD的面积= 1 2*2*2=2.
曲胃有1746一次函数的图象如图所示,当y<0时,x的取值范围是______. -
富春眨19466446810 ______[答案] 根据图示及数据可知,当y<0即直线在x轴下方时,x的取值范围是x<2.
曲胃有1746一次函数y=kx+b(k,b为常数,且K≠0)的图像是
富春眨19466446810 ______ 是一条直线若b=0,该直线经过原点若k>0,该直线向右上倾斜若k<0,该直线向右下倾斜在直角坐标系中作它的图像,只需描出两点【一般描出该直线与坐标轴的交点——(0,b)、(-b/k,0)】,因为两点确定一条直线.
曲胃有1746如图,一次函数y=kx+b(≠0)的图象与反比例函数y=m/x(m≠0)的图象相交于点A、B两点.(1)根据图象,分别写出点A、B的坐标.(2)求出这两个函数的解析式. -
富春眨19466446810 ______[答案] (1)由图像可知:A点坐标为 A(-6,-1)B点坐标为 B(3,2)(2)直线经过 A(-6,-1) 、B(3,2)有:-1=-6k+b2=3k+b解之得:k=1/3 ,b=1即直线解析式为 y=1/3 x +1反函数 y=m/x 经过点 B(3,2)则2=m/3解之得:m=6即反函数解析...
曲胃有1746初中数学函数图象和性质表格1、一次函数y=kx+b(k≠0)k>0 k<0图象 ( )( )增减性( )( )与轴的交点 与x轴交点坐标() 与y轴交点坐标()2、二次函... -
富春眨19466446810 ______[答案] 1、一次函数y=kx+b(k≠0) k>0 k<0 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<0 顶点( -b/2a,(4ac-b^2)/4a ) ...
曲胃有1746在平面直角坐标系xOy中,一次函数y=ax+b(a≠0)的图象l与y= - x+3的图象关于y轴对称,直线l又与反比例函数y=kx交于点A(1,m),求m及k的值. -
富春眨19466446810 ______[答案] 依题意,得一次函数y=ax+b(a≠0)的解析式为y=x+3, 因为点A(1,m)在一次函数y=x+3的图象上,所以m=4. 所以A(1,4), 因为点A(1,4)在反比例函数y= k x的图象上,所以k=4.
曲胃有1746一次函数y=kx+b的图象与x轴交于点( - 4,0),与y轴交于点(0,3),求这个函数的关系式. -
富春眨19466446810 ______[答案] 解由一次函数y=kx+b(k不等于0)的图像与x轴交与点A(4,0) 则4k+b=0 即b=-4k 则一次函数为y=kx-4k 令x=0,则y=-4k 则B(0.-4k) 由点A(4,0),AB=5 则AB^2=OA^2+OB^2 即25=4^2+(-4k)^2 即16k^2=9 解得k=±3/4 故一次函数为y=3x/4-3或y=-3x/4+3. 以上回...