f′(x)＝3ax2+2bx+c…(2分)∵f（x）在x=1和x=-1处有极值，且f（1）=-1，∴f′(−1)＝0f′(1)＝0f(1)＝−1∴3a−2b+c＝03a+2b+c＝0a+b+c＝−1∴a＝12b＝0c＝−32…（6分）∴f′(x)＝32x2−32＝32(x+1)(x−1)∴函数在...