名校
解题方法
1 . 已知
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c2fd5bf65e31a2d48d07d26023e662e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a45eade690aa9ecef78be416c261a1da.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-12-26更新
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1573次组卷
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6卷引用:湖南省郴州市2020-2021学年高三上学期第二次质量检测数学试题
解题方法
2 . 设函数
(
,且
)
(1)判断
的奇偶性,并用定义证明;
(2)若不等式
在
上恒成立,试求实数
的取值范围;
(3)若
,
的值域为
,函数
在
上的最大值为
,最小值为
,若
成立,求正数
的取值范围,(说明:如果要用到函数的单调性,可直接交代单调性,不必证明.)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/325cd3e57465c5cc93f068c94c2b8f7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b5ba3697ee0afbed2cb398be195ea9.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a31ee47b59e5c145c4c389a5f7d513c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e80bd19c51fc12e19b7ba5fd63efdc5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a8d578ace45420869dda45ad3b66c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d51d4d1439d8394cbebe7e5caa301a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 我们把形如
的函数称为“囧函数”,因其函数图像类似于汉字“囧”字,并把其与y轴的交点关于原点的对称点称为“囧点”,以“囧点”为圆心凡是与“囧函数”有公共点的圆,皆称之为“囧圆”,则当
时,所有的“囧圆”中,面积的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abf9784d6cc510083fe4a57ca0778f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e76fa77d1b0bc4c1af9c8c41bf0dabe2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 下列命题中所有正确的序号是__________ .
①函数
(
)在R上是增函数;
②函数
的定义域是
,则函数
的定义域为
;
③已知
,且
,则
;
④
为奇函数.
⑤函数
值域为
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5df925fef841580d225b6ee58164581a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed2dd8a797d6da9c89e858aed9a7da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ce2f5e22175e3ff8ab5e0afca58f9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3247f03357462fec934f37c65ebdc77e.png)
③已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db7e6c6a243f9c95ca5403ede3a96b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d39cf8f646727f972505c01ec877dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eb72b4c134ef1672b330453ca780270.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dbe13ade9520fcc649191e2c453ed71.png)
⑤函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aeeecc7c5826f14b66086ad0c58974e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0fa5d8301f4b34a10f98b5929667357.png)
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5 . 定义“正对数”:
,下列命题中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/666e955b13c301ffb5107efe42d63e11.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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2020-12-18更新
|
758次组卷
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4卷引用:浙江省温州市苍南县、龙港市2020-2021学年高一上学期“姜立夫杯”数学竞赛试题
浙江省温州市苍南县、龙港市2020-2021学年高一上学期“姜立夫杯”数学竞赛试题湖南省株洲市第二中学2021-2022学年高一下学期“同济大学”杯数理化联赛数学试题湖南省邵阳市第二中学2023-2024学年高一上学期基础知识竞赛数学试题(已下线)技巧01 单选题和多选题的答题技巧(10大题型)(练习)
名校
6 . 已知函数
的图象关于
对称,且对
,当
时,
成立,若
对任意的
恒成立,则
的可能取值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c3dd8fa2dc8c0c7e255bfb054ad34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/208836dfd77253efa91e9956d0d769a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/277c2b21a3595f4a47f7ec4686f80304.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa10bae6ce6e91bf99c580d102947b46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/415a4dbe8c7a2cc0370038efd9bdd17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-12-16更新
|
2177次组卷
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10卷引用:江苏省苏州外国语学校2020-2021学年高一上学期12月检测数学试题
江苏省苏州外国语学校2020-2021学年高一上学期12月检测数学试题江苏省泰州市泰兴市第三高级中学虹桥校区2020-2021学年高一上学期期中数学试题湖北省武汉市蔡甸区汉阳一中2021-2022学年高一上学期9月月考数学试题湖北省孝感鲁迅高级中学2022-2023学年高一上学期10月月考数学试题(已下线)5.4 函数的奇偶性-2021-2022学年高一数学链接教材精准变式练(苏教版2019必修第一册)(已下线)5.4 函数的奇偶性(课堂培优)-2021-2022学年高一数学课后培优练(苏教版2019必修第一册)湖南省衡阳市衡南县2021-2022学年高一上学期期末数学试题(A卷)(已下线)第5章《函数概念与性质》 培优测试卷(二)-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)吉林省长春外国语学校2022-2023学年高一上学期11月期中数学试题福建省莆田市擢英中学2022-2023学年高一上学期期中数学试题
7 . 若函数
定义域的为
,对任意的
,恒有
,则称
为“
形函数”.
(1)当
时,判断
是否为“
形函数”.并说明理由:
(2)当
时,证明:
是“
形函数”
(3)当
时,若
为“
形函数”,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/60d200a7afe1e011713e14886a6887e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31dd8fbff59c65cefb30f3fa049da6e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1c079afd1b058adc67a50f48f3d466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b502a0b8f21ab53e34b3f858d65059.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7955186c4b2fae76b4433e46255fa5e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
8 . 已知函数、
的表达式为
,且
,
(1)求函数
的解析式;
(2)若
在区间
上有解,求实数
的取值范围;
(3)已知
,若方程
的解分别为
、
,方程
的解分别为
、
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb2fb6043949ffd4a0fc14967e23c90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f24e2e30cfbbac5f6fd78d3a00c16af.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28ba460af495451b5d477b8aca7fbbd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba61a5d7799215c69c4cf5f2b55dcbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/337c8a3dcd7138813bd4095a2841d00e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd888afdcfdb3e91a157d50f65e915e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026b651f694f41ecbf8540c5aab9d77e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6033f52389dd8fe5f5f4466e52bcbea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6705f34c8c463900b248598ecf7185c0.png)
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2020-12-16更新
|
221次组卷
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2卷引用:上海市交通大附属中学2020-2021学年高一上学期期中数学试题
名校
9 . 定义:若函数
与
在区间
,(
)上均有定义,且
,恒有
,则称函数
与
是
上的“粗略逼近函数”.
(1)已知函数
,
,试判断函数
和
是否为
上的“粗略逼近函数”?请说明理由;
(2)若函数
和
是
上的“粗略逼近函数”,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa09bf6979429e792c82eea32a8df5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc69dd6b191f31ea8d87f867a456a4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
(1)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e09182a4008ff17e373b4fe784b56206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb836bcac1594f4db11c0cb04a04d0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bffc9c4bf9de4d804885955aff039ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/548636534994cd465dfc7bf7dd41505b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bdf596b23eb095f55e1e07b75800dc4.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432e9cb36a8eb25862c21400a4a31660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0e6a54007f37dca143cb931797c709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/221f9c828a6de90bcae98354634a8ad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
10 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab9ca08258afa316987ccae15a969e0.png)
A.若函数![]() ![]() |
B.关于x的方程![]() ![]() |
C.对于实数![]() ![]() |
D.当![]() ![]() |
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2020-12-14更新
|
2568次组卷
|
7卷引用:山东省新高考2020-2021学年高三上学期联考数学试题