解:畫出的十個(gè)長方形如圖所示(其中?$∠O$?就是公共?$∠A):$?
結(jié)論:這條曲線是反比例函數(shù)圖象的一支,理由如下:
根據(jù)題意可知,這?$10$?個(gè)長方形中?$∠A$?的對(duì)角的頂點(diǎn)坐標(biāo)依次為:
?$(1,$??$10),$??$(2,$??$5),$??$(3,$??$\frac {10}{3}),$??$(4,$??$\frac {5}{2}),$??$(5,$??$2),$?
?$(6,$??$\frac {5}{3}),$??$(7,$??$\frac {10}{7}),$??$(8,$??$\frac {5}{4}),$??$(9,$??$\frac {10}{9}),$??$(10,$??$1)$?
這?$10$?個(gè)點(diǎn)的橫縱坐標(biāo)乘積為一個(gè)定值?$10,$?
∴對(duì)應(yīng)的反比例函數(shù)解析式為?$y=\frac {10}{x}(0<x<10)$?