AB1//CB∵AC1=AC∴∠C=∠C1∴∠CAC1=∠ABC∴∠B1AC=∠B1AC1+∠C1AC=∠BAC+∠C1AC=∠ABC+∠BAC∴∠B1AC+∠ACB=∠ABC+∠BAC+∠ACB=180°∴AB1//CB