天津市静海县第一中学2019届高三数学12月学生学业能力调研试题理提高卷无答案201901070183.doc

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1 -静海一中 2018-2019 第一学期高三数学(理 12 月)提高卷1.(15 分)已知函数 2=-3xfxe的定义域为 -2t, ,设 -2=fm, ftn.(1)试确定 t 的取值范围,使得函数 f在 -t, 上为单调函数;(2)求证: mn;(3)若不等式 72ln1xfkxke为 正 整 数 对任意正实数恒成立,求 的最大k值,并证明 14ln.9(解答过程可参考使用以下数据 ln71.95l82.0, )2.(15 分)已知数列 na满足 121, 2anN且 (1)求数列 n的通项公式;(2)令 ,求 的前 项和;nab2lognb- 2 -(3)令 21log0,15nnada,记数列 nd的前 n 项和为 nS,若 2n恒为一个与 n 无关的常数 ,试求常数 和

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