(1)借助數(shù)軸,回答下列問題.
①從-1到1有3個整數(shù),分別是______;
②從-2到2有5個整數(shù),分別是______;
③從-3到3有______個整數(shù),分別是______;
④從-200到200有______個整數(shù);
⑤從-n到n(n為正整數(shù))有______個整數(shù);
(2)根據(jù)以上規(guī)律,直接寫出:從-2.9到2.9有______個整數(shù),從-10.1到10.1有______個整數(shù);
(3)在單位長度是1厘米的數(shù)軸上隨意畫出一條長為1000厘米的線段AB,求線段AB蓋住的整點的個數(shù).
解:(1)①從-1到1有3個整數(shù),分別是-1,0,1;
②從-2到2有5個整數(shù),分別是-2,-1,0,1,2;
③從-3到3有7個整數(shù),分別是-3,-2,-1,0,1,2,3;
④從-200到200有401個整數(shù);
⑤從-n到n(n為正整數(shù))有2n+1個整數(shù);
(2)根據(jù)以上規(guī)律,直接寫出:從-2.9到2.9有5個整數(shù),從-10.1到10.1有21個整數(shù);
(3)若從整數(shù)開始覆蓋,則長為1000厘米的線段AB能覆蓋1001個整點,
若不是從整數(shù)開始覆蓋,則長為1000厘米的線段AB能覆蓋1000個整點.
故答案為:(1)①-1,0,1,②-2,-1,0,1,2,③7,-3,-2,-1,0,1,2,3,④401,⑤2n+1;(2)5,21.
分析:(1)根據(jù)數(shù)軸上的整數(shù)是連續(xù)的分別解答即可;
(2)根據(jù)(1)的規(guī)律解答;
(3)分從整數(shù)開始和不從整數(shù)開始解答.
點評:本題考查了數(shù)軸的知識,讀懂題目信息,理解整數(shù)點的覆蓋是解題的關(guān)鍵.