试题与答案

科技创新是实现中 * * 伟大复兴的强大驱动力。阅读材料,回答问题。材料一 表3为200

题型:问答题

题目:

科技创新是实现中 * * 伟大复兴的强大驱动力。阅读材料,回答问题。

材料一 表3为2008—2012年我国研究与试验发展(R&D)经费支出与经济发展情况。注:R&D经费支出占GDP比重是目前国际通用的衡量科技活动规模、科技投入水平和科技创新能力高低的重要指标。目前,发达国家和地区该指标平均水平为3%。

材料二 近年来,为推进科技创新,国家采取了一系列措施;不断加大财政科技投入力度;完善国家科技奖励制度,健全与岗位职责、工作业绩、实际贡献紧密联系和鼓励创新创造的分配激励机制;加快构建以企业为主体、市场为导 、产学研相结合的技术创新体系。 材料三 科技发展丰富了公民的政治生活,政府网站、政务微博拉近了公民与政府的距离,使表达和倾听更加贴近;科技发展振奋了国人的精神,航母入列,“神九”飞天、“蛟龙”入海……我们在世界民族之林中更加自信。

材料一反映了哪些经济信息?

答案:

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设A是单位圆x2+y2=1上的任意一点,i是过点A与x轴垂直的直线,D是直线i与x轴的交点,点M在直线l上,且满足|DM|=m|DA|(m>0,且m≠1),当点A在圆上运动时,记点M的轨迹为曲线C。

(1)求曲线C的方程,判断曲线C为何种圆锥曲线,并求焦点坐标;

(2)过原点且斜率为k的直线交曲线C于P、Q两点,其中P在第一象限,它在y轴上的射影为点N,直线QN交曲线C于另一点H,是否存在m,使得对任意的k>0,都有PQ⊥PH?若存在,求m的值;若不存在,请说明理由。

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