Traditional Culture Encyclopedia - Photography major - (20 14? Ningbo) A big square and four congruent small squares are placed in two ways as shown in Figure ① and Figure ②, so the big square in Figure ② is not divided into small squares.
(20 14? Ningbo) A big square and four congruent small squares are placed in two ways as shown in Figure ① and Figure ②, so the big square in Figure ② is not divided into small squares.
Let the side length of the big square be x 1 and the side length of the small square be x2, which can be obtained from the equations listed in Figures ① and ②.
x 1+2x2=ax 1？ 2x2=b
Solve,
x 1=a+b2x2=a？ b4
② The area of the part of a big square that is not covered by a small square =(a+b2)2-4×(a? b4)2=ab。
So the answer is: AB.
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