山东省青岛市格兰德中学高二数学上学期学段评估测试试题（中英班）（无答案）(1).doc

山东省青岛市格兰德中学2013-2014学年高二数学上学期学段评估测试试题（中英班）（无答案）注意：本试卷分测试卷和答题卷两部分，共4页。满分100分，考试用时90分钟。考试结束后，只交答题卷，测试卷请自主保存。请用0.5毫米签字笔做答。.1. a. ,0x b.cos2x=5sinx, ,- x c.cos5x=cos3x, 0x d. ,0x3600 2. show that :seccosec=2cosec23 . figure 1 q y = f(x)xyo(0, 2)p(3, 0) figure 1 shows part of the curve with equation y = f(x), x , where f is an increasing function of x. the curve passes through the points p(0, 2) and q(3, 0) as shown.in separate diagrams, sketch the curve with equation(a)y = f(x), (b)y = - f(x)（c） y= f(-x) (d).y= f(2x)+2 (e). y = f(x)indicate clearly on each sketch the coordinates of the points at which the curve crosses or meets the axes42xsin2x , 0x a.use calculus to find the coordinates of the turing points on the graph of y = f(x). b.show that f(x) =82xcos2x c.hence ,or otherwise, determine which turning point is a maximum and which is a minimum.5.calculate: a. given that 2y=x-sinxcosx,calculate b.differentiate : sec23x c. differentiate: 6.express the following improper fractions as a partial fraction”a. b. 7.a curve has parametric equations x=b(2t-3),y=b(1-t2), where b is constant.the curve passes through the point(0,5).a.find the value of b. b.find the cartesian equation.8.a curve has parametric equationa x=t2-3t+1,y=4t2 .work out find 青岛格兰德中学20132014学年度第一学期高二年级数学高二四中日班模块答题卷注意：本试卷分测试卷和答题卷两部分，共4页。满分100分，考试用时90分钟。考试结束后，只交答题卷，测试卷请