Question

絕對(duì)值相等的兩個(gè)數(shù)在數(shù)軸上對(duì)應(yīng)的兩點(diǎn)距離為8，則這兩個(gè)數(shù)是

4和-4

．

Answer 1

分析：根據(jù)絕對(duì)值的幾何意義得到絕對(duì)值相等的兩個(gè)數(shù)到原點(diǎn)的距離相等，由于絕對(duì)值相等的兩個(gè)數(shù)在數(shù)軸上對(duì)應(yīng)的兩個(gè)點(diǎn)間的距離是8，得到這兩個(gè)數(shù)到原點(diǎn)的距離都等于4，于是這兩個(gè)數(shù)分別為4和-4．

解答：解：∵絕對(duì)值相等的兩個(gè)數(shù)在數(shù)軸上對(duì)應(yīng)的兩個(gè)點(diǎn)間的距離是8，
∴這兩個(gè)數(shù)到原點(diǎn)的距離都等于4，
∴這兩個(gè)數(shù)分別為4和-4．
故答案為：4和-4．

點(diǎn)評(píng)：本題考查了絕對(duì)值：若a＞0，則|a|=a；若a=0，則|a|=0；若a＜0，則|a|=-a．也考查了數(shù)軸．