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1、浙江省2014届高三理科数学一轮复习考试试题精选(1)分类汇编10:不等式一、选择题 (浙江省嘉兴市2014届高三9月月考数学理试题)已知,则()aabc bacb cbca dcba【答案】a (浙江省绍兴市第一中学2014届高三上学期回头考数学(理)试题 )若关于的不等式在区间上有解,则实数的取值范围为()abc(1,+)d 【答案】a (浙江省金华一中2014届高三10月月考数学(理)试卷)若变量满足约束条件,则的最大值为()a0b1c2d-2【答案】b (浙江省绍兴市第一中学2014届高三上学期回头考数学(理)试题 )已知,则下列不等式中总成立的是 a b c . d 【答案】a (浙
2、江省台州市黄岩中学2013-2014学年高三第一学期第一次月考数学(理)试题)若函数的图像上存在点,满足约束条件,则实数的最大值为()abcd【答案】b (浙江省温州市2014届高三上学期八校联考数学(理)试题)已知,满足约束条件,若的最小值为,则()abcd【答案】b (浙江省湖州市八校2014届高三上学期第二次联考数学(理)试题)已知是坐标原点,点,若点为平面区域上的一个动点,则的取值范围是 ()ab cd【答案】c 二、填空题 (浙江省温州市平阳中学2014届高三10月月考数学(理)试题)已知点为坐标原点,点满足则的最大值是_.【答案】 (浙江省嘉兴一中2014届高三上学期期中数学理试卷
3、)设满足约束条件若目标函数的最大值为1,则的最小值为_.【答案】9 (浙江省绍兴市第一中学2014届高三上学期期中考试数学(理)试题)若如果点p在不等式组所确定的平面区域内,为坐标原点,那么的最小值为_【答案】 (浙江省湖州中学2014届高三第一次月考数学(理)试题)设,则与的大小关系为_.【答案】粘贴有误,原因可能为题目为公式编辑器内容,而没有其它字符(浙江省嘉兴市2014届高三9月月考数学理试题)已知,则z=x-y的最大值是_【答案】2 (浙江省温州市十校联合体2014届高三10月阶段性测试数学(理)试题)设,其中实数满足,则的最大值是_【答案】8 (浙江省2014届金华一中高三9月月考数
4、学试卷(理)设为实常数,是定义在r上的奇函数,当时, 若对一切成立,则的取值范围为_. 【答案】 (浙江省湖州中学2014届高三第一次月考数学(理)试题)设,且,则的最大值为_.【答案】 (浙江省绍兴市第一中学2014届高三上学期期中考试数学(理)试题)已知和是平面内互相垂直的两条直线,它们的交点为,动点分别在和上,且,则过三点的动圆扫过的区域的面积为_. 【答案】18 (浙江省慈溪中学2014届高三10月月考数学(理)试题)若正数满足,则的最小值为_.【答案】 3 (浙江省湖州市八校2014届高三上学期第二次联考数学(理)试题)若正数满足则的最小值为_【答案】 (浙江省2014届金华一中高三
5、9月月考数学试卷(理)已知z=2x +y,其中x,y满足且z的最大值是最小值的4倍,则a的值是_.【答案】 (浙江省绍兴市第一中学2014届高三上学期回头考数学(理)试题 )已知实数满足:,则的最大值是_【答案】 (浙江省温州市十校联合体2014届高三10月阶段性测试数学(理)试题)定义:对于区间,则为区间长度.若关于的不等式的解集是一些区间的并集,且这些区间长度的和不小于4,则实数的取值范围是_.【答案】或 (浙江省慈溪中学2014届高三10月月考数学(理)试题)已知实数满足: 则的取值范围是_.【答案】 (浙江省嘉兴市2014届高三9月月考数学理试题)已知正实数,b满足2ab=a+b+12
6、,则ab的最小值是_【答案】9 (浙江省温州中学2014届高三10月月考数学(理)试题)已知实数满足:,则的取值范围是_.【答案】 三、解答题(浙江省绍兴市第一中学2014届高三上学期期中考试数学(理)试题)在中,分别为角所对的边,向量,且垂直.(i)确定角的大小;(ii)若的平分线交于点,且,设,试确定关于的函数式,并求边长的取值范围.【答案】(i)由得, (ii)由得, 则 由 ,得, (浙江省临海市杜桥中学2014届高三上学期第二次月考数学(理)试题)已知函数(1)若不等式的解集为或,求的表达式;(2)在(1)的条件下, 当时, 是单调函数, 求实数k的取值范围;(3)设, 且为偶函数,
7、 判断+能否大于零?【答案】(1) 由已知不等式的解集为或,故,且方程的两根为 由韦达定理,得 . (2) 由(1)有 , 当或时, 即或时, 是具有单调性 (3) 是偶函数 , 设则.又 +, +能大于零 qcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3p tgz7r4i30ka1dk
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15、xqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawger4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7
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18、tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgea
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