【简答题】已知函数 φ(x)= a x+1 ,a为正常数. (Ⅰ)若f(x)=lnx+φ(x),且 a= 9 2 ,求函数f(x)的单调减区间; (Ⅱ)若g(x)=|lnx|+φ(x),且对任意x 1 ,x 2 ∈(0,2],x 1 ≠x 2 ,都有 g( x 2 )-g( x 1 ) x 2 - x 1 <-1 ,求a的取值范围.
【单选题】To my surprise, the manager ______ 30 dollars from my salary without any good reason.
【简答题】已知函数 f(x)= 1 x +ax+lnx , g(x)= a+1 x +3lnx,(a∈R) . (I)当a=2时,求函数f(x)的单调区间; (II)若函数F(x)=f(x)-g(x)在区间[1,+∞)上单调递增,求实数a的取值范围; ( III)证明: 2 n+1 + 1 2 n ≥n(n+1)ln2+3 对任意的n∈N * 成立.
【简答题】已知函数 φ(x)= a x+1 ,a为正常数. (1)若f(x)=lnx+φ(x),且 a= 9 2 ,求函数f(x)的单调增区间; (2)若g(x)=|lnx|+φ(x),且对任意x 1 ,x 2 ∈(0,2],x 1 ≠x 2 ,都有 g( x 2 )-g( x 1 ) x 2 - x 1 <-1 ,求a的取值范围.
【简答题】设函数f(x)=lnx,g(x)=e2x+1,则f[g(x)]=______。
【单选题】The reason for my absence was ______ I had fallen ill.
【简答题】请根据下面两组实验中的问题写方程式. 如图1所示,写出实验中“液面上升更高”组的化学方程式:______; 如图2所示,写出实验中“更快”的化学方程式:______.
【单选题】I have enjoyed my visit here. I'll be very sorry ______.
【单选题】This is the reason ______I have not done my homework.