Gaokao Math Practice Question
12. (5 分) 已知函数 $f(x)=a x^{3}-3 x^{2}+1$, 若 $f(x)$ 存在唯一的零点 $x_{0}$, 且 $x_{0}>$ 0, 则实数 $\mathrm{a}$ 的取值范围是（ $)$
- A.$(1,+\infty)$
- B.$(2,+\infty)$
- C.$(-\infty,-1)$
- D.$(-\infty,-2)$
Want to know if you got it right?
Answer this and thousands more real Gaokao previous-year questions free, get graded instantly, and climb the global ranked leaderboard.
Practice Gaokao free →More Gaokao Math questions
- 设集合 A=\{x \mid x \geq 1\}, B=\{x \mid-1<x<2\}, 则 A \cap B= (\quad)…
- 已知 a \in R,(1+a i) i=3+i, ( i 为虚数单位), 则 a=(\quad)…
- 已知非零向量 \vec{a}, \vec{b}, \vec{c}, 则“ \vec{a} \cdot \vec{c}=\vec{b} \cdot \vec{c} ”是“ \vec{…
- 若实数 x, y 满足约束条件 \left\{\begin{array}{l}x+1 \geq 0 \\ x-y \leq 0 \\ 2 x+3 y-1 \leq0\end{arr…
- 已知 a, b \in \mathrm{R}, a b>0, 函数 f(x)=a x^{2}+b(x \in \mathrm{R}). 若 f(s-t), f(s), f(s+t)…
- 已知数列 \left\{a_{n}\right\} 满足 a_{1}=1, a_{n+1}=\frac{a_{n}}{1+\sqrt{a_{n}}}\left(n \in \mat…
- 设 z=\frac{1-i}{1+i}+2 i, 则 |z|=(\qquad)…
- 已知集合 A=\left\{x \mid x^{2}-x-2>0\right\}, 则 C_{R} A=（ \qquad ）…