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          相對面排除法巧解紙盒問題-2020年國家公務員考試行測答題技巧

          http://www.9999gx.com       2019-07-29 09:57      來源:公考通
          【字體: 】              

            在行測圖形推理中,不管是國考還是省考,往往偏愛考查折紙盒問題。而這類題目需要考生具有一定的想象能力,對于想象空間不夠豐富的同學來說,非常痛苦!

           

          相對面排除法巧解紙盒問題-2020年公務員考試行測答題技巧


            那么,解這種題型有沒有技巧呢?今天公考通小編就給大家教大家一種行之有效的解題技巧——相對面排除法


            一、什么是折紙盒問題?


            題干的左邊給一個盒子形狀的平面展開圖,右面再給ABCD四個選項,然后問哪一個選項可以由它折成。行測考試中最常見的紙盒形狀為正六面體,即正方體。如下圖所示:

           

          相對面排除法巧解紙盒問題-2020年公務員考試行測答題技巧


            二、解題技巧之相對面排除法


            先來理解一下相對面:在立體圖形中(比如立方體)都有六個面,而這六個面兩兩相對,就會形成3組相對面。而在平面中表現立體圖形時往往只能表現3個相鄰面。因此,3組相對的兩個面在選項中的立體圖形中必須出現而且只能出現一個面,這就是相對面的含義。


            而相對面排除法,就是利用相對面的原理,把題干中不符合相對面的選項進行排除!在這里,小編總結了兩句口訣,需要大家重點記憶:


            1.相對面不相鄰(紙盒中的六個平面圖中,有3組是不會相鄰的,折成紙盒之后,他們會成為相對的兩個面)


            2.相鄰面相對位置不變(如果有兩塊圖形相鄰了,那么無論怎樣轉動這個折成的紙盒,它們倆的相對位置是不會變化的)


            接下來通過具體例子,運用相對面排除法來解題:


            【例題】左邊給定的是紙盒外表面的展開圖,右邊哪一項能由它折疊而成?請把它找出來。

           

          \


            【解析】正確答案為C。


            將平面圖中的各面進行標號,如圖1所示:

           

            

          \


            A項:展開圖中,面a黑色三角形的黑色直角邊挨著面c,而選項中面a黑色三角形的黑色直角邊沒有挨著面c,選項與題干不一致,排除;


            B項:展開圖中,面a和面d是相對面,相對面不能同時出現,但選項中兩個面是相鄰面,選項與題干不一致,排除;


            C項:與題干展開圖一致,當選;


            D項:展開圖中,面b和面e是相對面,相對面不能同時出現,而選項中二個面是相鄰面,選項與題干不一致,排除。


            怎么樣?折紙盒問題的這個解題方法你掌握了嗎?下面再通過幾道真題來練練手吧!


            【真題訓練】


            【例1】(2018國考省級以上試卷80題)左圖給定的是正方體紙盒的外表面,下面哪一項能由它折疊而成?

           

          \


            【解析】正確答案為D。


            A項:假設正方體正面圖形和右面圖形是對的,那么頂面應該為\,排除。


            B項:假設正方體正面圖形和右面圖形是對的,那么頂面應該為\,排除。


            C項:假設正方體正面圖形和頂面圖形是對的,那么右面應該為\,排除。


            D項正確,當選。


            【例2】(2019山東省考試卷64題)左圖是給定紙盒的外表面,以下哪一項能由它折疊而成?


          \


            【解析】正確答案為B。將原展開圖標上序號如下圖,逐一進行分析。

           

            

          \


            A項:右邊的面是面E,面E與面F是相對面不能同時出現,所以上邊的面是面B,面B與面D是相對面不能同時出現,所以前邊的面是面C。A項由面B、面E、面C組成,面B與面C有公共邊,如上圖所示,展開圖中公共邊挨著面B三角形的長直角邊,A選項挨著面B三角形的短直角邊,選項和題干不一致,排除;


            B項:由面A、面E、面D組成,選項和題干一致,當選;


            C項:由面A、面B、面F組成,面A中三角形的底邊挨著面B中的小方塊,選項中面A中三角形的底邊挨著面B中的三角形的長直角邊,題干和選項不一致,排除;


            D項:上邊的面是面E,面E與面F是相對面不能同時出現,所以前邊的面是面B,面B與面D是相對面不能同時出現,所以右邊的面是面C。D項由面B、面E、面C組成,面B與面C有公共邊,如上圖所示,展開圖中公共邊挨著面B三角形的長直角邊,D選項挨著面B三角形的一個頂點,選項和題干不一致,排除。


            【例3】(2019江蘇省考C卷86題)左邊給定的是紙盒外表面的展開圖,右邊哪一項能由它折疊而成?請把它找出來。


           

          \


            【解析】正確答案為A。將展開圖中的各面進行標號,如圖1所示:

           

            

          \


            A項:與題干展開圖一致,當選;


            B項:展開圖中,c面中白正方形的紅點與f面中黑正方形的黃點不重合(如圖2所示),而選項中二者是重合的,選項與題干不一致,排除;


            C項:展開圖中,a面和f面是相對面,c面和e面是相對面,這兩對相對面均不能同時在立體圖出現,但選項的黑三角形面不管是a面還是e面,選項中均有相對面,選項與題干不一致,排除;


            D項:展開圖中,b面灰色三角形的直角邊挨著f面中黑正方形,而選項中二者無此關系,選項與題干不一致,排除。

           

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