9-10高二下·吉林·期中
名校
1 . 已知函数
是定义在
上的奇函数,
,
,则不等式
的解集是_____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471484b64504fc545398f52be830010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6aaf63d79386395642bcd1c68b82589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42ee962cc8fe61c084358bb460b8ce2c.png)
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9卷引用:吉林省吉化第一高级中学校2019-2020学年高二上学期期末数学(理)试题
吉林省吉化第一高级中学校2019-2020学年高二上学期期末数学(理)试题(已下线)2010年吉林省实验中学高二下学期期中考试数学(理)2015-2016学年甘肃省天水市秦安二中高二上学期期末文科数学试卷2015-2016学年江苏徐州沛县中学高二下学期质检二数学(文)试卷2015-2016学年江苏徐州沛县中学高二下学期质检二数学(理)试卷辽宁省沈阳市城郊市重点联合体2019-2020学年高二上学期期中数学试题山西省实验中学2018-2019学年高二下学期第一次月考数学试题上海市南汇中学2021-2022学年高二下学期期末数学试题(已下线)拓展三:构造抽象函数模型解不等式和比较大小(1)
2 . 已知:全集
,函数
的定义域为集合
,集合![](https://img.xkw.com/dksih/QBM/2013/11/8/1571385323724800/1571385329451008/STEM/22126789b4bc410693082d9b0b54966e.png)
(1)求
;
(2)若
,求实数
的范围.
![](https://img.xkw.com/dksih/QBM/2013/11/8/1571385323724800/1571385329451008/STEM/1cfbb038ea3f4ca2a36da0834c98d17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5617f87cba2a387d7b38735e7c818cff.png)
![](https://img.xkw.com/dksih/QBM/2013/11/8/1571385323724800/1571385329451008/STEM/b0c1543c9a9e4b2ba455d3b31f66a27b.png)
![](https://img.xkw.com/dksih/QBM/2013/11/8/1571385323724800/1571385329451008/STEM/22126789b4bc410693082d9b0b54966e.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2013/11/8/1571385323724800/1571385329451008/STEM/f9f7b01ef65d4564bc608d39f9d4a060.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2013/11/8/1571385323724800/1571385329451008/STEM/ddae2820bd1248f18ef782dc69cf7a6d.png)
![](https://img.xkw.com/dksih/QBM/2013/11/8/1571385323724800/1571385329451008/STEM/a0ab3484c0354e968033d67e33cc5094.png)
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2卷引用:2015-2016学年吉林省吉林一中高一下开学验收数学试卷
3 . 选修4—5:不等式选讲
已知定义在
上的函数
,存在实数
使
成立.
(Ⅰ)求正整数
的值;
(Ⅱ)若
,求证:
.
已知定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea6e544793a54ab5bf50287c5753d7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d0cd47609b9d1865dfff4979161cf5.png)
(Ⅰ)求正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76fee7631d46f3e9e415da156b8636fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d0824924c77b1d3fc48bc2405fc658.png)
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3卷引用:2017届吉林省吉林市普通高中高三下学期第三次调研测试数学(文)试卷
4 . 已知
,又知非P是非Q的必要非充分条件,则m的取值范围是_____ .
![](https://img.xkw.com/dksih/QBM/2016/3/23/1572554730315776/1572554736058368/STEM/fd95c47891c1484cb4bf9a24dd6608b8.png?resizew=359)
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5 . 在
中,内角
、
、
所对的边分别为
,其外接圆半径为6,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bfab7caad45515532853485a794bc68.png)
(Ⅰ)求
;
(Ⅱ)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c199fdf7fb5f809cfcfb08345476531d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bfab7caad45515532853485a794bc68.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1311f32edf13f8caee5edb03f24a7ba.png)
(Ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2卷引用:2016届吉林省吉林一中高三质检六理科数学试卷
6 . 已知函数
,若数列
满足
(
),且
是递增数列,则实数
的取值范围是___________.
![](https://img.xkw.com/dksih/QBM/2016/3/18/1572545008525312/1572545014784000/STEM/893ebd568c1c4f20942b6e3d12f4dc7f.png?resizew=187)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c58e99e3c3a921cd712906b0a3b1091d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2卷引用:2016届吉林省吉林一中高三质检六理科数学试卷
名校
解题方法
7 . 已知
、
是三次函数
的两个极值点,且
,
,则
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b2eae55204351858d661e019717f650.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2905ef7674574749b4ca9dd9cfe58cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4063fee7decbb9396847aabb4ac28c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6870ae251a911bb4dffa3ba32bf400.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:吉林省舒兰市第一高级中学2018届高三上学期第四次月考数学(文)试题
解题方法
8 . 在
中,角A,B,C的对边分别为
,
.
(1)求角C的大小;
(2)若
的外接圆直径为1,求
面积
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd623ea765c80b3ba260e99f3504f481.png)
(1)求角C的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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9 . 下列函数既是奇函数,又在区间
上单调递减的是
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572568586182656/1572568591581184/STEM/f22b705154da4cdba86e32af5b755bc9.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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2卷引用:2015-2016学年吉林省吉林一中高一奥班11月考数学试卷
13-14高二下·上海·期中
名校
10 . 在直三棱柱
中,底面ABC为直角三角形,
,
. 已知G与E分别为
和
的中点,D与F分别为线段
和
上的动点(不包括端点). 若
,则线段
的长度的最小值为 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a9ad711b25c36dae0c2a2cedff9954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8bd8c13192ca45c16dad5d59b547220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2af2626608f61a4cfbb86494bd6df0e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/781ed91456e62d6319dc8671e48a7332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
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5卷引用:吉林省吉化第一高级中学校2020-2021学年高二11月月考数学(理)试题
吉林省吉化第一高级中学校2020-2021学年高二11月月考数学(理)试题(已下线)2013-2014学年上海市交通大学附属中学高二下学期期中数学试卷(已下线)2013-2014学年上海交大附中高二下学期期中数学试卷2015-2016学年湖南衡阳八中高二上第二次月考理科数学卷陕西省西安中学2021-2022学年高二上学期期中理科数学试题