英文好数学好的朋友帮我一下~有过程最好,直接给结果也行The altitude of a triangle is increasing at a rate of 2.500 centimeters/minute while the area of the 1.000 square centimeters/minute. At what rate is the base of the triangl

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英文好数学好的朋友帮我一下~有过程最好,直接给结果也行The altitude of a triangle is increasing at a rate of 2.500 centimeters/minute while the area of the 1.000 square centimeters/minute. At what rate is the base of the triangl
英文好数学好的朋友帮我一下~有过程最好,直接给结果也行
The altitude of a triangle is increasing at a rate of 2.500 centimeters/minute while the area of the 1.000 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 7.000 centimeters and the area is 98.000 square centimeters?

英文好数学好的朋友帮我一下~有过程最好,直接给结果也行The altitude of a triangle is increasing at a rate of 2.500 centimeters/minute while the area of the 1.000 square centimeters/minute. At what rate is the base of the triangl
三角形的高以每分钟2.5厘米的速度增加,同时面积以每分钟1平方厘米的速度增加,当三角形高是7厘米面积是98平方厘米时,底边的变化速率是多少?

设 某一时刻底边长度为a ,高为h, 底边变化速率为x
(a+x)*7/2-a*h/2=1, (a+x)*7/2=98, h=7-2.5=4.5
解上边三个方程得:x=-15.11 cm
所以底边是在不断缩短