1 . (1)已知
,
,用分析法证明:
;
(2)已知实数a,b,c,d满足
,用反证法证明:方程
与方程
至少有一个方程有实根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c79de030dea51c5e80e233b44788de.png)
(2)已知实数a,b,c,d满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d16edc4b96365bba121ea57a5fb17c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1146110d4382c714c10de00dd1273b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa62ed138c43acb859daf7e33f45e90.png)
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2020-05-13更新
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2卷引用:安徽省滁州市凤阳县第二中学2019-2020学年高二下学期4月月考数学(文)试题
13-14高三上·山东济宁·期中
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2 . 若
,则下列不等式不一定成立的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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13-14高二下·辽宁·期末
3 . 给出四个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/876d453473dd136199f4fd4653f00a47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c94a6df5bddbb2b7f8733a16af2157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ae9bec2cba7031e203972797317c51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89edf0f82e6ad17097a142aaf85d3e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
(1)写出第5,6个等式,并猜测第
个等式;
(2)用数学归纳法证明你猜测的等式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/876d453473dd136199f4fd4653f00a47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c94a6df5bddbb2b7f8733a16af2157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ae9bec2cba7031e203972797317c51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89edf0f82e6ad17097a142aaf85d3e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
(1)写出第5,6个等式,并猜测第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f636df3ea3c910b25ca80b6cad9a2233.png)
(2)用数学归纳法证明你猜测的等式.
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2016-12-03更新
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4卷引用:安徽省合肥八中2017-2018学年高二第二学期期中考试数学(理)试题
安徽省合肥八中2017-2018学年高二第二学期期中考试数学(理)试题(已下线)2013-2014学年辽宁省实验中学分校高二新疆班下学期期末数学试卷黑龙江省海林市朝鲜族中学人教版高中数学选修2-2同步练习:滚动习题第二章 推理与证明[范围2.1~2.3]2019届高考数学(理)全程训练:天天练42 推理与证明
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4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1d86de3fe7077ed3e5d361d6fe23d2.png)
(1)求不等式
的解集;
(2)若不等式
对一切实数
都成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1d86de3fe7077ed3e5d361d6fe23d2.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b45f8224a638bb503ccb01749cfeb1.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a244c26d76eb6887b4c1eb0605a53005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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5 . 设函数f(x)=|2x-a|,g(x)=x+2.
(1)当a=1时,求不等式f(x)+f(-x)≤g(x)的解集;
(2)求证:
中至少有一个不小于
.
(1)当a=1时,求不等式f(x)+f(-x)≤g(x)的解集;
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bed8e3dbae63709df9150227b9aca2b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
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2018-01-14更新
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4卷引用:安徽省宿州市泗县第一中学2020-2021学年高二下学期期末文科数学试题
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解题方法
6 . 已知函数
.
(1)求不等式
的解集;
(2)若不等式
解集非空,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e6b5cab9622e4e6c9ceddb31ffe3f5a.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b45f8224a638bb503ccb01749cfeb1.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b42f66f50178563282ff4d0ad7eb326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2018-09-28更新
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3卷引用:安徽省亳州市第二中学2018-2019学年高二下学期期末数学(文)试题
名校
解题方法
7 . 若不等式
的解集是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eafff9a8baf15d325b741dfd0aceaab.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-07-24更新
|
421次组卷
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2卷引用:安徽省黄山市屯溪第一中学2016-2017学年高二下学期期中考试数学(文)试题1
解题方法
8 . 设函数
.
(1)解不等式
;
(2)设
,
,使得
成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4b80c0495ddfd6469c4e9bcc75484a.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2180e18416d40abb243bd23984e7aba.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39318985cea8f205c21b95c92757e62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c7a319f1fb9ef4cd6bd9eb5ab0c53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28aa4448612c61d95964c5bbedde47c6.png)
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9 . 已知
.
(1)求
的解集
;
(2)设
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d569a723ee892b8f7558a475dd05eb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03fc1cd2baabbf8afea25478e1258237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a2b85186925658e66d8541a5645269e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0770065c01a939479db7caa5c11d3ba.png)
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10 . 已知函数
.
(Ⅰ)当
时,解不等式
;
(Ⅱ)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d702f3f6ff8c839d8032c271185c3dae.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2608a57caffde627dbf140ca22a2ff8a.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58dc71d5bff9434a995b74e8f3c855be.png)
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2018-07-10更新
|
183次组卷
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2卷引用:【全国市级联考】安徽省蚌埠市2017-2018学年高二下学期期末考试数学(理)试题