A total of x feet of fencing is to form three sides of a level rectangular yard. What is the (继续) maximum possible area of the yard, in terms of x?(A)x^2/9(B)x^2/8(C)x^2/4(D)x^2(E)2x^2选B.怎么做?谢谢!

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/14 20:39:57
A total of x feet of fencing is to form three sides of a level rectangular yard. What is the  (继续) maximum possible area of the yard, in terms of x?(A)x^2/9(B)x^2/8(C)x^2/4(D)x^2(E)2x^2选B.怎么做?谢谢!
xQMKQ+  /pNxot`>dfn Z2čf%b_3/4oZ-#xp.{=L=K$-ZIX+Zd3dA 1rT@gX-U 2֐50,b‚6T) d`DQm@†'9&ϒfҲc17{&$:ҲP-_

A total of x feet of fencing is to form three sides of a level rectangular yard. What is the (继续) maximum possible area of the yard, in terms of x?(A)x^2/9(B)x^2/8(C)x^2/4(D)x^2(E)2x^2选B.怎么做?谢谢!
A total of x feet of fencing is to form three sides of a level rectangular yard. What is the (继续) maximum possible area of the yard, in terms of x?
(A)x^2/9(B)x^2/8(C)x^2/4(D)x^2(E)2x^2
选B.怎么做?谢谢!

A total of x feet of fencing is to form three sides of a level rectangular yard. What is the (继续) maximum possible area of the yard, in terms of x?(A)x^2/9(B)x^2/8(C)x^2/4(D)x^2(E)2x^2选B.怎么做?谢谢!
设中间那个边为a,两边为b
有a+2b=x,x是常数,a=x-2b
有S=ab,即S=(x-2b)b=-2(b^2-0.5xb+(0.25x)^2)+(0.25x)^2既化为那种一个二次项的形式
所以S的最大值选B