求英语和数学高手来解答英文版高数的几个题1,show that the normal line to x的3次方+y的3次方=3xy at (3/2,3/2)passes through the origin.2,show that the graphs of 2x的平方+y的平方=6 and y的平方 =4x intersect at right angl
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求英语和数学高手来解答英文版高数的几个题1,show that the normal line to x的3次方+y的3次方=3xy at (3/2,3/2)passes through the origin.2,show that the graphs of 2x的平方+y的平方=6 and y的平方 =4x intersect at right angl
求英语和数学高手来解答英文版高数的几个题
1,show that the normal line to x的3次方+y的3次方=3xy at (3/2,3/2)passes through the origin.
2,show that the graphs of 2x的平方+y的平方=6 and y的平方 =4x intersect at right angles.
主要是不知道什么叫normal line和intersect at right angles，请主要解答一下这两个词组的意思
求英语和数学高手来解答英文版高数的几个题1,show that the normal line to x的3次方+y的3次方=3xy at (3/2,3/2)passes through the origin.2,show that the graphs of 2x的平方+y的平方=6 and y的平方 =4x intersect at right angl
1..对x^3+y^3=3xy求导得3x^2+3y^2*y'=3y+3xy',化简得y'=(x^2-y)/(x-y),故在(3/2,3/2）处切线斜率的倒数为（1.5-1.5）/（1.5*1.5-1.5）=0,故切线方程为余y=1.5,所以法线为x=1.5.
2.联立两曲线方程得其intersect为A（1,1）B及（1,-1）,所以angleAOB=half right angle+ half right angle=right angle
normal line:正垂线，法线;
intersect at right angles:在直角处相交