问答题 说明下列事实的几何意义: (Ⅰ)函数f(x),g(x)在点x=x 0 处可导,且f(x 0 )=g(x 0 ),f'(x 0 )=g'(x 0 ); (Ⅱ)函数y=f(x)在点x=x 0 处连续,且有
【正确答案】正确答案:(Ⅰ)曲线y=f(x),y=g(x)在公共点M 0 (x 0 ,f(x 0 ))即(x 0 ,g(x 0 ))处相切. (Ⅱ)点x=x 0 是f(x)的不可导点.曲线y=f(x)在点M 0 (x 0 ,f(x 0 ))处有垂直于x轴的切线x=x 0 (见图2.1).
【答案解析】