Question

有下列幾種說法：                                                                              

①兩條直線相交所成的四個(gè)角中有一個(gè)是直角；                                             

②兩條直線相交所成的四個(gè)角相等；                                                       

③兩條直線相交所成的四個(gè)角中有一組相鄰補(bǔ)角相等；                                  

④兩條直線相交對頂角互補(bǔ)．                                                                  

其中，能兩條直線互相垂直的是（　　）                                                

A．①③                       B．①②③                    C．②③④                   D．①②③④

Answer 1

D【考點(diǎn)】命題與定理．                                                                          

【分析】利用直角的定義、補(bǔ)角的定義、對頂角的定義等知識分別判斷后即可確定正確的選項(xiàng)．                    

【解答】解：①兩條直線相交所成的四個(gè)角中有一個(gè)是直角能得到兩條直線互相垂直；                    

②兩條直線相交所成的四個(gè)角相等能得到兩條直線互相垂直；                        

③兩條直線相交所成的四個(gè)角中有一組相鄰補(bǔ)角相等能得到兩條直線互相垂直；                 

④兩條直線相交對頂角互補(bǔ)能得到兩條直線互相垂直．                                  

故選D．                                                                                            

【點(diǎn)評】考查了命題與定理的知識，解題的關(guān)鍵是能夠根據(jù)直角的定義、補(bǔ)角的定義及對頂角的定義進(jìn)行判斷，難度不大．