能与金属钠反应生成H2的有机物是( )
A:CH3CH2OH
B:CH3CH3
C:苯
D:CH3COOCH2CH3
(Ⅰ)判断B1C与AC1是否垂直,并证明你的结论;
(Ⅱ)求三棱柱的全面积.
已知函数f(x)=x3﹣x+2 x .
(Ⅰ)求函数y=f(x)在点(1,f(1))处的切线方程;
(Ⅱ)令g(x)= ax2+axf(x)−2x +lnx,若函数y=g(x)在(e,+∞)内有极值,求实数a的取值范围;
(Ⅲ)在(Ⅱ)的条件下,对任意t∈(1,+∞),s∈(0,1),求证: g(t)−g(s)>e+2−1e .