Question

△ABC中，AB=8，BC=4，則△ABC中最小的角是（　�。�                            

A．∠A                        B．∠B                         C．∠C                        D．無(wú)法判斷

Answer 1

A【考點(diǎn)】三角形三邊關(guān)系．                                                                   

【專題】應(yīng)用題．                                                                              

【分析】根據(jù)：兩邊之差＜三角形一條邊＜兩邊之和，得出第三條邊，再根據(jù)邊和角的對(duì)應(yīng)關(guān)系，即可得出結(jié)果．                                                                             

【解答】解：根據(jù)兩邊之差＜三角形一條邊＜兩邊之和，                               

∴4＜第三邊＜12，                                                                            

故BC邊最短，                                                                                  

∴∠A最小，                                                                                     

故選A．                                                                                            

【點(diǎn)評(píng)】本題主要考查了三角形的三邊關(guān)系兩邊之差＜三角形一條邊＜兩邊之和，同時(shí)考查了邊和角的對(duì)應(yīng)關(guān)系，難度適中．