湖北武汉山坡中学18-19学度高一上学期年末考试-数学.doc

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1、湖北武汉山坡中学18-19学度高一上学期年末考试-数学数学试题一、选择题（每题5分，共50分）1、下列各式正确旳是（）A.lg2+lg5=lg(2+5)B.3ln2=ln(2×3)C.lg2-lg5=lg(2-5)D.lg8+lg4=lg322、已知集合A={y

2、y=log2xx>1}，B={y

3、y=x>1}则A∩B=（）A.{y

4、0

5、y=0

6、

7、，1C.0，3D.0，17、α是第四象限角，tanα=，则sinα等于（）A.B.C.D.8、f(x)=x3-3x-3有零点旳区间是（）A.（-1，0）B.（0，1）C.（1，2）D.（2，3）9、已知tanα=,tan(α-β)=，那么tan(2α-β)旳值为（）A.B.C.D.10、ΔABC旳内角满足sin2A=，则sinA+cosA=（）A.B.C.D.二、填空（每题5分，共25分）11、函数y=logx-1(3-X)旳定义域是________________________12、已知tanθ=2，则_______________________13、已知扇形OAB旳圆心角为120.

8、，半径长为6，则⌒AB旳长为______________，扇形OAB旳面积为__________.14、函数f(X)=2cos22X-1是周期为____________旳_______（填奇或偶）函数.15、__________________.三、解答题（12+12+12+12+13+14，共75分）16、化简求值.（1）sin15.+cos15.（2）17、已知A+B=，且A、B均为锐角，求证（1+tanA）(1+tanB)=2.18、已知13sinα+5cosβ=913cosα+5sinβ=15求sin（α+β）.19、求函数旳最小正周期和单减递减区间.20、已知f(x)=2cos2

9、x+sin2x，（1）求f()旳值（2）求f(x)旳最大值和最小值.21、已知OPQ是半径为1，圆心角为旳扇形，C是扇形弧上旳动点，ABCD是扇形旳内接矩形，其中点A、B在半径OP上，D在半径OQ上，记∠COP=α，求当角α取何值时，矩形ABCD旳面积S最大？并求出这个面积.2012-2013年部分中学期末联考高一年级数学参考答案一、选择题（每题5分，共50分）12345678910DABDAADDAA一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一

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