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# 一、单选题本题共8小题每小题5分共40分每小题只有一个选项符合要求 1.样本数据2.8,14,16.20的平均数为
( )
A.8B.9C.12D.18
2已知$z=1+i$ ,则$\frac{1}{z-1}=$
( )
A.-i B.i C.-1D.1
3.已知集合$A=\{-4,0,1,2,8\}$ 上,$B=\left\{x\mid x^{3}=x\right\}$ ,则$A\cap B=$
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A.{0.1.2}B.{1,2.8}C.{2.8}D.{0.1}
4.不等式$\frac{x-4}{x-1}\geq2$ 的解集是
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A.$\left\{x\mid-2\leqslant x\leqslant1\right\}$ B.$\{x|x\leqslant-2\}$ C.$\left\{x\mid-2\leqslant x<1\right\}$ D.$\{x\mid x>1\}$
5.在△ABC中$BC=2,AC=1+\sqrt{3},AB=\sqrt{6}$ ,则$A=$
( )
A.$45^{\circ}$ B.$60^{\circ}$ C.$120^{\circ}$ D.$135^{\circ}$
6.设抛物线$C:y^{2}=2px(P>0)$ 的焦点为F点A在C上过A作C准线的垂线垂足为B.若直线BF的方程为$y=-2x+2$ ,则$|AF|=$ ( )
A.3B.4C.5D. 6
7记$S_{n}$ 为等差数列$\{a_{n}\}$ 的前n项和若$S_{3}=6.S_{5}=-5$ ,则$S_{6}=$
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A.$-20$ B.-15C.-10D.-5
8.已知$0<\alpha<\pi,\cos\frac{\alpha}{2}=\frac{\sqrt{5}}{5}$ $\sin(a-\frac{\pi}{4})=$
( )
A.$\frac{\sqrt{2}}{10}$ B.$\frac{\sqrt{2}}{5}$ C.$\frac{3\sqrt{2}}{10}$ D.$\frac{7\sqrt{2}}{10}$