名校
解题方法
1 . 若定义在R上的函数
满足
,
是奇函数,现给出下列4个论断:
①
是周期为4的周期函数;
②
的图象关于点
对称;
③
是偶函数;
④
的图象经过点
;
其中正确论断的个数是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d78dec1c1e00ec02d7bdaf76ef8901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e81e15b871dd32b2438ef8025bcc42d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd243fab0af865af67a2ab817e909cf5.png)
其中正确论断的个数是
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2020-04-09更新
|
1612次组卷
|
5卷引用:2016-2017学年福建省漳州市第一中学高一上学期期末考试数学试卷
名校
2 . 关于函数
,下列命题中所有正确结论的序号是______ .
①其图象关于
轴对称; ②当
时,
是增函数;当
时,
是减函数;
③
的最小值是
; ④
在区间
上是增函数;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc6b6c879214d9cae6a9062339a0b59.png)
①其图象关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be86115324901b427f6a0cf3a4c8a5c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47427934d2d5f1c3de9a8f648a33a811.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49ff22a861c53d7373715281e371c8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505c98f3e49ff5da391509d22464c114.png)
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名校
解题方法
3 . 已知定义在实数集
的函数
满足
,且
导函数
,则不等式
的解集为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b9c3d3a40536bc1049c94a67b6c17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/807528a1e8422a77263dbecfe4edba35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94d9cf4a75a4470e14834ab76fac82f4.png)
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名校
4 . 已知函数
是R上的偶函数,对于
都有
成立,且
,当
,且
时,都有
.则给出下列命题:
①
;
②函数
图象的一条对称轴为
;
③函数
在[﹣9,﹣6]上为减函数;④方程
在[﹣9,9]上有4个根;
其中正确的命题序号是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05f1a3feca6218955446108ebad0a524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67770832df52bf3c76e0f9436cf97e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/123ec23ceff3447e7edbbe94bec79bb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a472ec769e25bceb7e37560208f4e39d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13909e2861ce1a0a64fc9e8b37463a7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba3672f9fb2badd5fe1774a1a37b51d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005a03815d16b196112e239f7a1783e6.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880a8218c4b9d59523d1f35460c7a2e6.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7add49a49ed66fa00cbb2f73622a6a39.png)
其中正确的命题序号是
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2018-08-06更新
|
1491次组卷
|
4卷引用:【全国校级联考】福建省闽侯第二中学、连江华侨中学等五校教学联合体2017届高三上学期半期联考数学(理)试题
5 . 半圆
的直径为
为直径延长线上的一点,
为半圆上任意一点,以
为一边作等边三角形
.则四边形
的面积最大值是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2353c7e8ad00d9d25c71535bd45d7568.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf218af8f145a57828914df61ce08e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea16ceca816f7d3d50650af141baf42.png)
![](https://img.xkw.com/dksih/QBM/2018/7/26/1996931844202496/2002389960122369/STEM/a3347fa2c8014b04ac66ce1e4f6c5272.png?resizew=152)
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2018-08-03更新
|
801次组卷
|
2卷引用:福建省福州市第四中学2016-2017学年高二上学期第一学段模块检测数学(理)试题
6 . 在直角坐标系内,点
实施变换
后,对应点为
,给出以下命题:
①圆
上任意一点实施变换
后,对应点的轨迹仍是圆
;
②若直线
上每一点实施变换
后,对应点的轨迹方程仍是
,则
;
③椭圆
上每一点实施变换
后,对应点的轨迹仍是离心率不变的椭圆;
④曲线
上每一点实施变换
后,对应点的轨迹是曲线
,
是曲线
上的任意一点,
是曲线
上的任意一点,则
的最小值为
.
以上正确命题的序号是___________________ (写出全部正确命题的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f109ad046f362d8686c7ef9810c568.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4c90c76ee3935ed1ecd104cf7614d9.png)
①圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fba1080e317bb6747100220e00ede9dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fba1080e317bb6747100220e00ede9dd.png)
②若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02f266bd253738e315e84231235f0d2.png)
③椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
④曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c813b59e1ee4a7b2cf05c692c4aedd45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084cf5ffced059f5653ee2a1023518b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/250b5107cbd77faecb232faa478adfa4.png)
以上正确命题的序号是
您最近一年使用:0次
名校
7 . 数列
中,
,若数列
满足
,则数列
的最大项为第__________ 项.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29518f13a1ebc3fff8181c2d7cfba22f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7175e92731a24a2c2b763742a8e5db61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2448cf72af76b810310e4cfb9818e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fabad0eda18463f695894cb30e3d8dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2448cf72af76b810310e4cfb9818e2e.png)
您最近一年使用:0次
2018-03-18更新
|
939次组卷
|
5卷引用:福建省福州市闽侯第六中学2018届高三上学期期中考试数学(文)试题
福建省福州市闽侯第六中学2018届高三上学期期中考试数学(文)试题山西省太原市2018届高三3月模拟考试(一)数学理试题(已下线)4.2求数列的通项公式与前n项的和[理]-《备战2020年高考精选考点专项突破题集》(已下线)4.2求数列的通项公式与前n项的和[文] -《备战2020年高考精选考点专项突破题集》重庆市万州第三中学2018-2019学年高一下学期期中数学试题
名校
8 . 已知椭圆
与抛物线
有相同的焦点
,
为原点,点
是抛物线准线上一动点,点
在抛物线上,且
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55b2f260e2e7a312c594b2034c097f07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071d4c1556de22088445f191a80b8a25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56bbafa889700c6764ebc7fc1a42cd91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497305c01377ab7a342e29247b80ac17.png)
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2018-02-14更新
|
915次组卷
|
4卷引用:福建省莆田市第二十四中学2017-2018学年高二上学期第二次月考(12月)数学(文)试题
名校
9 . 已知椭圆
上一点
关于原点的对称点为点
为其右焦点,若
,设
,且
,则该椭圆的离心率
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6640bb4ae84c81b1cce121cf072ea00f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c507610f462120218e2cd1894c957eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01dd3ddb7bbf69309d4647c3cdbfb8b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bac234188f7572ee8952cda0cb87dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
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2017-12-26更新
|
1507次组卷
|
9卷引用:福建省莆田市第二十四中学2017-2018学年高二上学期第二次月考(12月)数学(理)试题
福建省莆田市第二十四中学2017-2018学年高二上学期第二次月考(12月)数学(理)试题江西省南康中学2017-2018学年高二下学期第三次月考数学(文)试题【校级联考】河南省信阳高级中学、商丘一高2018-2019学年高二1月联考数学(文)试题湖南省衡阳市第八中学2018-2019学年高二上学期期中数学(理)试题广西南宁市第三中学2020-2021学年高二12月月考数学(文)试题江西省赣州市南康中学2020-2021学年高二上学期第四次大考数学(理)试题陕西省西安市高新第一中学2020-2021学年高一下学期第二次月考数学试题黑龙江省鹤岗市第一中学2021-2022学年高二下学期开学考试数学试题上海市南洋模范中学2023届高三上学期开学考数学试题
10 . 已知函数
,若函数
有
个零点,则实数
的取值范围为 __________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79819fe13087a001a701691c01625f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/469404df3132040ba5cb45385eb01e60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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