(本小题满分12分)

   已知函数f（x）=x3－ax2，其中a为实常数.

   （1）设当x∈（0，1）时，函数y = f（x）图象上任一点P处的切线的斜线率为k，若k≥－1，求a的取值范围

  （2）当x∈［－1，1］时，求函数y=f（x）+a（x2－3x）的最大值.

（本小题满分12分）

已知数列是首项为，公比的等比数列，设，数列满足．

（Ⅰ）求的通项公式；

（Ⅱ）若对一切正整数恒成立，求实数的取值范围.

（本小题满分12分）

已知椭圆：．

（Ⅰ）若椭圆的一个焦点到长轴的两个端点的距离分别为和，求椭圆的方程；

（Ⅱ）如图，过坐标原点任作两条互相垂直的直线与椭圆分别交于和四点．设原点到四边形某一边的距离为，试求：当时 的值。                                                                               

集合A={－1，0，1}，B={}，则AB=（    ）

    A. {0}      B． {1}         C．{0，1}       D．{－1，0，1}

已知，且为实数，则等于（    ）

A. 1         B．             C．           D．

使不等式成立的一个必要不充分条件是（    ）

    A.     B．   C． D． ，或

在等比数列的值为（    ）                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

    A.9           B．1  C．2    D．3

以双曲线的中心为顶点，右焦点为焦点的抛物线方程是（    ）

  A.      B．     C．    D．

现将10个参加2009年全国高中数学竞赛的名额分配给某区四个不同学校，要求一个学校1名，一个学校2名，一个学校3名，一个学校4名，，则不同分配方案种数共有 （    ）

A.43200               B．12600              C．24          D．20

定义运算：，将函数的图象向左平移（）个单位，所得图象对应的函数为偶函数，则的最小值为（    ）

A.             B．            C．            D．