江苏省赣榆高级中学2008—2009学年度第二学期期中考试高二数学试题(文科)参考答案一.填空题:1.(4)2.演绎3.4.15.6.-237.8.9.10.1111.直线12.13.14.25二.解答题:15.(本小题满分14分)解:(1)设由z+2i为实数知··················3分同理可算得·················6分所以·················7分(2)·················10分而它在复平面上对应的点在第一象限,所以满足···············12分解得·················14分16.(本小题满分14分)解:(1)设则······················3分因为所以所以所以·······································用心爱心专心·············6分(2)当a≥1时,对称轴,此时················9分当a<1时,在上单调递减,此时··············12分综上可知··································14分17.(本小题满分15分)解:(1)设函数,将点代入得所以·····················5分(2)因为,所以≥0,即函数的定义域不关于原点对称,所以函数是非奇非偶函数
····················9分(3)函数在上单调递增,·····················12分图略·····················15分18.(本小题满分15分)解:┅┅······················6分将以上各式分别相加得:················9分整理得:·····················15分19.(本小题满分16分)解:(1)证明:任取,则用心爱心专