Question

7．春季來(lái)臨，甲、乙兩班學(xué)生參加植樹(shù)造林．甲班每天比乙班少植2棵樹(shù)，甲班植60棵樹(shù)所用天數(shù)與乙班植70棵樹(shù)所用天數(shù)相同． 求甲班每天植樹(shù)多少棵．

Answer 1

分析 設(shè)甲班每天植樹(shù)x棵，則乙班每天植樹(shù)（x+2）棵，由“甲班植60棵樹(shù)所用天數(shù)與乙班植70棵樹(shù)所用天數(shù)相等”建立方程求出其解即可．

解答 解：設(shè)甲班每天植樹(shù)x棵．                                                     
則根據(jù)題意，得$\frac{60}{x}$=$\frac{70}{x+2}$．                                            
解得x=12．                                                              
經(jīng)檢驗(yàn)，x=12是原方程的解．且符合題意．                                  
答：甲班每植樹(shù)12棵．

點(diǎn)評(píng) 本題考查了列分式方程解關(guān)于工程問(wèn)題的實(shí)際問(wèn)題的運(yùn)用，分式方程的解法的運(yùn)用及工程問(wèn)題的數(shù)量關(guān)系的運(yùn)用，解答時(shí)根據(jù)甲班植60棵樹(shù)所用的天數(shù)與乙班植70棵樹(shù)所用的天數(shù)相等建立方程是關(guān)鍵．