1 . 设
,
,
或
,求:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41dc3c5d834239cfe370ef80a40b34f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92c73c8bda959ad880f60f014c400fe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6b253b187fe36e6bd40c46bcfc114a.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5783bbe3c8f5c972179baa4b18b4b956.png)
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2020-02-29更新
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291次组卷
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2卷引用:河北省衡水市深州市长江中学2019-2020学年高一上学期期中数学试题
2 . (1)计算:
;
(2)已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cebb4c17d0332568ed219addea191f27.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa965fb2cb7e79de37af809fa34ac19e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d3ac6c2f6d21f4d228ba24c0af67fb.png)
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3 . 某公司生产某种电子仪器的固定成本为
元,每生产一台仪器需要增加投入
元,已知总收入
(单位:元)关于月产量
(单位:台)满足函数:
,
.
(1)将利润
(单位:元)表示为月产量
的函数;
(2)当月产量
为何值时,公司所获利润最大?最大利润为多少元?(利润=总收入-总成本)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7abdf75139e36233a84a9276e20ee06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/687df326dae263b0d7e75fd07a4d3ea0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96119cc3005adf559140161bd872143.png)
(1)将利润
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)当月产量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解题方法
4 . 设集合
,集合
.
(1)若
,求实数
的值;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97927627b6890964c516f02dc34ed2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f3244015dd2dede844f510bab48635.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc992c9e51d4b22232adf6bb5c8055a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2020-02-23更新
|
282次组卷
|
3卷引用:江苏省南通市海安高级中学2019-2020学年高一上学期期中数学试题(创新班)
名校
5 . 设函数
在定义域具有奇偶性.
(1)求
的值;
(2)已知
在
上的最小值为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a1375349e1ba2b9f937134021cbc4b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/993af316323193b262675d5adb9fee32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7dcdd87d593df4a5c5e98d47fe1cfa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-02-23更新
|
420次组卷
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2卷引用:江苏省南通市海安高级中学2019-2020学年高一上学期期中数学试题(创新班)
名校
解题方法
6 . 定义域为
的奇函数
同时满足下列三个条件:①对任意的
,都有
;②
;③对任意
、
且
,都有
成立,其中
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d78dec1c1e00ec02d7bdaf76ef8901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aadae85764946eca7b6dac1f03fed7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7870c36161f465fc992534b5fc3777f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87baf85adfa1eeb425d548d90f7edf2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a99e975bbbe78e29727b5a08dbc2b6.png)
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2020-02-23更新
|
273次组卷
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2卷引用:江苏省南通市海安高级中学2019-2020学年高一上学期期中数学试题(创新班)
名校
解题方法
7 . 设
是
上的奇函数,且当
时,
,
.
(1)若
,求
的解析式;
(2)若
,不等式
恒成立,求实数
的取值范围.
![](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/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c8542569ac4cdea3bb884058677104.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e4a03ed82bfd9a241950a5b08ee6d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59059e9e59a29eb9d1dd1548659b31c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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8 . 已知函数
(
,
为常数).
(1)若
且
,求
、
的值;当
时,判断并证明函数
的单调性;
(2)若
,讨论方程
解的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91df566facfb315a5ce9a0126a5af66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed670b1f668778c6243f3f7470ee7d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc38756cc1783da1370c90beac9ff1cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97148e04ca6a9f9dca0aba91ce4e1d84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821fa0301d20076ad2e541f8c4a86231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb101c5df08aa35ae24a6416840b199b.png)
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解题方法
9 . 已知函数
是R上的偶函数,且当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d540673cb5286eaa13a84e302e1a5270.png)
(1)当
时,求函数
的解析式;
(2)求方程
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b916c6d3fb2fdc67421489f207c93903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d540673cb5286eaa13a84e302e1a5270.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/842c2ef9893cc67e621e272fa0be9926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ce70cd93ab5e129a18d4df247063fc.png)
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2020-02-23更新
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2卷引用:2019届黑龙江省哈尔滨市第三中学校高三第四次模拟数学(理)试题
名校
10 . 已知函数
,且
.
(1)求
的值;
(2)判定
的奇偶性并证明;
(3)判断
在
上的单调性,并用定义给予证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2878eaf578538f8627f03954cd90a511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b0a5fd9530080164e756fc689fd90d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)判定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
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2020-02-23更新
|
697次组卷
|
3卷引用:2019届黑龙江省哈尔滨市第三中学校高三第四次模拟数学(理)试题
2019届黑龙江省哈尔滨市第三中学校高三第四次模拟数学(理)试题北京市第二十五中学2019-2020学年上学期高一期中考试数学试题(已下线)练习7+函数的奇偶性与简单幂函数-2020-2021学年【补习教材·寒假作业】高一数学(北师大2019版)