兩條不同範疇的英文的數學

1.The base and the height of a triangular metal plate are 8cm and 4cm respectively.The metal plate is melted and recast into a metal plate in the shape of a trapezium with a height the same as that of the triangle.Find two possible pairs of the shorter base and the longer base of the new plate.（Hint:The thinkness of metal plates can be ignored.)

 

 

2.In the equation AB+AC=BB,each letter represents an integer from 0 to 4.Different letters represent different integers.Suggest one value for each letter which satisfies the equation.

 

麻煩翻譯文字和回答問題，要詳細！！

 

1.有一块三角形的金属盘，底边和高分别是8CM和4CM，现把它重铸成一个与原三角形等高的梯形金属盘，试给出梯形上，下底的两种可能性。（提示：金属盘的厚度可以忽略不计）
解：有题设，金属盘的厚度可忽略不计，故金属盘重铸前后的面积一样
∴S三角形=S梯形=8*4/2=16
∵H三角形=H梯形
∴4*(a+b)/2=16
a+b=8
∴a=5,b=3
a=6,b=2。2.方程的AB+AC=BB，每个字母代表一个由0到4的整数。不同字母代表不同的整数。推荐一个值，满足每个字母的方程。A=2,B=4,C=0C=0

(1).triangle area: 8x4/2 =16 trapezium area: (short base + longer base)x height/2 =triangle are (short base + longer base)=8 1. shorter base= 1 cm longer base=7cm 2. shorter base =2 cm longer base = 6cm 3. shorter base =3 cm longer base =5 cm

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