40. 如图,在三棱柱ABC−A1B1C1ABC-A_{1}B_{1}C_{1}ABC−A1B1C1中,BB1⊥BB_{1}\botBB1⊥平面ABCABCABC,ΔABC\Delta ABCΔABC为正三角形,侧面ABB1A1ABB_{1}A_{1}ABB1A1是边长为2的正方形,DDD为BCBCBC的中点.(Ⅰ)求证:平面ADC1⊥ADC_{1}\botADC1⊥平面BCC1B1BCC_{1}B_{1}BCC1B1;(Ⅱ)求二面角C−AB−C1C-AB-C_{1}C−AB−C1大小的余弦值.