Question

△ABC中，AB=8，BC=4，则△ABC中最小的角是（　　）                            

A．∠A                        B．∠B                         C．∠C                        D．无法判断

Answer 1

A【考点】三角形三边关系．                                                                   

【专题】应用题．                                                                              

【分析】根据：两边之差＜三角形一条边＜两边之和，得出第三条边，再根据边和角的对应关系，即可得出结果．                                                                             

【解答】解：根据两边之差＜三角形一条边＜两边之和，                               

∴4＜第三边＜12，                                                                            

故BC边最短，                                                                                  

∴∠A最小，                                                                                     

故选A．                                                                                            

【点评】本题主要考查了三角形的三边关系两边之差＜三角形一条边＜两边之和，同时考查了边和角的对应关系，难度适中．