单选题 (共 3 题 ),每题只有一个选项正确
若 $\lim _{x \rightarrow 0}\left(e^x+a x^2+b x\right)^{\frac{1}{2}}=1$ ,则
$\text{A.}$ $a=\frac{1}{2}, b=-1$
$\text{B.}$ $a=-\frac{1}{2}, b=-1$
$\text{C.}$ $a=\frac{1}{2}, b=1$
$\text{D.}$ $a=-\frac{1}{2}, b=1$
设函数 $f(x)$ 在 $[0,1]$ 上二阶可导,且 $\int_0^1 f(x) \mathrm{d} x=0$ ,则
$\text{A.}$ 当 $f^{\prime}(x) < 0$ 时, $f(1 / 2) < 0$
$\text{B.}$ 当 $f^{\prime \prime}(x) < 0$ 时, $f(1 / 2) < 0$
$\text{C.}$ 当 $f^{\prime}(x)>0$ 时, $f(1 / 2) < 0$
$\text{D.}$ 当 $f^{\prime \prime}(x)>0$ 时, $f(1 / 2) < 0$
下列矩阵中,与矩阵 $\left(\begin{array}{lll}1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1\end{array}\right)$ 相似的为
$\text{A.}$ $\left(\begin{array}{ccc}1 & 1 & -1 \\ 0 & 1 & 1 \\ 0 & 0 & 1\end{array}\right)$
$\text{B.}$ $\left(\begin{array}{ccc}1 & 0 & -1 \\ 0 & 1 & 1 \\ 0 & 0 & 1\end{array}\right)$
$\text{C.}$ $\left(\begin{array}{ccc}1 & 1 & -1 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right)$
$\text{D.}$ $\left(\begin{array}{ccc}1 & 0 & -1 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right)$