观察例题→发现规律→按照要求答题.(120×120)-(119×121)=1,(120×120)-(118×122)=4,(120×120)-(117×123)=9,(120×120)-(116×124)=16,…(1)(120×120)-(112×128)=______.(2)(120×120)-(______×______)=144.

问题描述:

观察例题→发现规律→按照要求答题.
(120×120)-(119×121)=1,(120×120)-(118×122)=4,
(120×120)-(117×123)=9,(120×120)-(116×124)=16,

(1)(120×120)-(112×128)=______.
(2)(120×120)-(______×______)=144.

(120-112)×(128-120)=8×8=64;
12×12=144,
120-12=108,
120+12=132,
120×120-108×132=144;
故答案为:64,108,132.
答案解析:120-119=121-120=1,1×1=1;120-118=122-120=2,2×2=4;120-117=123-120=3,3×3=9;120-116=124-120=4,4×4=16;…此得解,(120×120)-(120-n)×(n-120)=n×n;
考试点:“式”的规律.
知识点:此题考查了式的规律,认真观察,不难得出结论.