问题
解答题
先观察下列等式,再回答问题: ①
②
③
根据上面三个等式提供的信息,请猜想
|
答案
=1+1+
+1 42 1 52
-1 4
=1 4+1
;21 20
验证:
=1+
+1 42 1 52
=1+
+1 16 1 25
=16×25+25+16 16×25
=441 400
.21 20
先观察下列等式,再回答问题: ①
②
③
根据上面三个等式提供的信息,请猜想
|
=1+1+
+1 42 1 52
-1 4
=1 4+1
;21 20
验证:
=1+
+1 42 1 52
=1+
+1 16 1 25
=16×25+25+16 16×25
=441 400
.21 20