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    解決行測工程問題的四大出路-2019年浙江公務員考試行測技巧
    http://www.hrbjintong.com       2019-04-04      來源:浙江公務員考試網
    【字體: 】              

      在歷年行測考試中,工程問題一直是數量關系考察的“常客”。雖然屬于高頻考點,但是大多數考生還是對其視而不見。一是以為數量關系的題目都很難,以偏概全了;二是沒有方法,找不到解題的出路,最終只能選擇放棄。其實,工程問題的考察形式比較固定,就研究工作量,工作時間,工作效率三者之間的關系,只要搞清楚所求量,還缺少什么量,同時借助解題方法來補充所需量,就可以求解了。接下來,浙江公務員考試網(www.hrbjintong.com)就給大家詳細介紹解決工程問題的四大出路。


      一、知識點鋪墊 ——什么是工程問題


      工程問題是指與工程建造有關的數學問題,研究內容包括工作量,工作時間,工作效率。工作量指工作的多少,用字母W表示;工作時間指完成工作量所需的時間,用字母t表示;工作效率指單位時間內所做的工作量,用字母p表示。因此,基本公式為工作量(W)=工作效率(p)×工作時間(t)。


      例如:參加一次行測考試,總題量為120道題,時間為120分鐘,平均每道題要1分鐘。這里的120題就是工作量W,120分鐘就是工作時間t,1分鐘/題就是工作效率p。


      二、精講解決工程問題的出路


      出路一:公式法


      所謂公式法就是直接根據基本公式進行求解即可。


      【例題1】做同一種零件,趙師傅3小時做15個,錢師傅4小時做21個,孫師傅5小時做27個,李師傅6小時做31個,則( )的工作效率最高。


      A.趙師傅 B.錢師傅


      C.孫師傅 D.李師傅


      【答案】C。解析:此題比較工作效率,已知每個人的工作量和工作時間,直接用基本公式工作效率p=工作量w÷工作時間t,趙師傅的效率=15÷3=5,錢師傅=21÷4=5.25,孫師傅=27÷5=5.4,李師傅=31÷6≈5.167,故孫師傅的工作效率最高。


      總結:如果題干中,已知工作量、工作時間或工作效率中的任意兩個量,要求第三個量,可用公式法求解。


      出路二:方程法


      所謂方程法就是通過設未知數,尋找等量關系列方程進行求解即可。


      【例題2】甲乙兩個工程隊共同修建一段長為2100千米的公路,甲乙兩個工程隊共同修建一段長為2100千米的公路,甲隊每天比乙隊少修50千米,甲隊先單獨修3天,余下的路程與乙隊合修6天完成,則乙隊每天所修公路的長度是( )?


      A.135千米 B.140千米


      C.160千米 D.170千米


      【答案】D。解析:此題求乙隊的效率,由題干已知工作總量,各自的工作時間,兩隊的工作效率差,等量關系明顯,可用方程法。設乙隊每天所修公路的長度為x千米,則甲隊每天所修公路的長度(x-50)千米,根據兩隊共完成了2100千米的工作量,可列出方程,3×(x-50)+(x+x-50)×6=2100,解出x=170,故答案為D項。


      總結:如果題干中,已知一個工作量、多個工作時間和多個工作效率,要求其中一個量,可用方程法求解。


      出路三:特值法


      所謂特值法就是將其中某個量不設為未知數,而設為特殊值進行求解即可。


      【例題3】一項工程由甲獨立完成需要24天,由甲和乙合作完成需要10天,由甲和丙合作完成需要15天,問由乙和丙合作完成需要多少天?( )


      A.11 B.12


      C.13 D.14


      【答案】B。解析:此題求乙和丙合作的時間,已知多個工作時間,但工作量和效率都是未知量,因此可用特值法。設工作總量為多個時間的公倍數120,根據題意可得甲的效率為5,甲和乙的合效率為12,那么乙的效率為7;甲和丙的合效率為8,那么丙的效率為3。因此,所求量為120÷(7+3)=12天。故答案為B項。


      總結:如果題干,已知多個獨立完成的時間,可設工作量為多個時間的公倍數,用特值法求解。


      出路四:整除法


      所謂整除法就是將其中某個量不設為未知數,而設為特殊值進行求解即可。


      【例題4】有一批汽車零件由A和B負責加工,A每天比B少做3個零件。如果A和B兩人合作需要18天才能完成。現在讓A先做12天,然后B再做17天。這剩這批零件的1/6沒有完成,這批零件共有多少個?( )


      A.240 B.250


      C.270 D.300


      【答案】C。解析:此題求這批零件的工作量,已知完成這批零件的總時間。可由題意“A和B兩人合作需要18天才能完成”得出,這批零件總量一定是18的倍數,故答案要能夠被18整除,觀察四個選項,故答案為C項。


      總結:如果題干,已知完成該工作總量的工作時間,求工作總量,可優先用整除法求解。


      浙江公務員考試網希望廣大考生能夠通過例題的講解,理解出路的應用;另外,還有通過每種出路的總結,理解方法什么時候用,這樣才能真正領悟解決工程問題的上述四大出路,應對考試過程中遇到的題目。預祝大家一舉成公!2019成功上岸!



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