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Triangular garden ABC is redesigned by increasing the length of AC by 20 percent to point C and decreasing the length of AB by 2
Triangular garden ABC is redesigned by increasing the length of AC by 20 percent to point C and decreasing the length of AB by 2
admin
2009-05-19
104
问题
Triangular garden ABC is redesigned by increasing the length of AC by 20 percent to point C and decreasing the length of AB by 20 percent to point B .
Column A Column B
The area of the original garden ABC The area of the redesigned garden AB’C’
选项
A、if the quantity in Column A is greater
B、if the quantity in Column B is greater
C、if the two quantity are equal
D、if the relationship cannot be determined from the information given
答案
A
解析
重新设计三角形花园ABC,使其AC边长增加20%到C’点;AB边长减少20%到B’点。
解:本题的正确答案为(A)。从表面上看,好像是变化前后花园的面积大小不变,但是若考生根据题意列出方程就可发现,变化后花园的面积是减小了:S(△AB’C’)= 0.96S(△ABC)
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