名校
1 . 小图给出了某池塘中的浮萍蔓延的面积
与时间
(月)的关系的散点图.有以下叙述:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/20/029f96d1-7a94-4aa9-aad5-4b1f8f157fa5.png?resizew=153)
①与函数
相比,函数
作为近似刻画
与
的函数关系的模型更好;
②按图中数据显现出的趋势,第
个月时,浮萍的面积就会超过
;
③按图中数据显现出的趋势,浮萍每个月增加的面积约是上个月增加面积的两倍;
④按图中数据显现出的趋势,浮萍从
月的
蔓延到
至少需要经过
个月.
其中正确 的说法有__________ (填序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4010da5b1fd07138d34cd7c2bd75bfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/20/029f96d1-7a94-4aa9-aad5-4b1f8f157fa5.png?resizew=153)
①与函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28bebf5990eedb3ea8007cbecbeed74a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fbddfe8f39a0f9bff98ba8c43e2f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
②按图中数据显现出的趋势,第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa0d2fc279da590a219b3cf21824bc22.png)
③按图中数据显现出的趋势,浮萍每个月增加的面积约是上个月增加面积的两倍;
④按图中数据显现出的趋势,浮萍从
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/303dd9dcc519133e7fde976018cc0b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acf9507178ebeea5d8cb761d392ef81a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
其中
您最近一年使用:0次
2018-08-13更新
|
427次组卷
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4卷引用:北京市2023届高三数学模拟试题
北京市2023届高三数学模拟试题北京市顺义区第一中学2023届高三高考考前适应性检测数学试题北京市西城161中学2017-2018学年高一上期中考试数学试题(已下线)【走进新高考】(人教A版必修一)3.2.2 函数模型的应用实例(第2课时)同步练习01
名校
解题方法
2 . 已知函数
,函数
的最小值记为
,给出下面四个结论:
①
的最小值为0;
②
的最大值为3;
③若
在
上单调递减,则
的取值范围为
;
④若存在
,对于任意的
,
,则
的可能值共有4 个;
则全部正确命题的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efee94d8d161b6471d4c6e89a153af7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a239d924a26dbc7f33052c63a20a327a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a239d924a26dbc7f33052c63a20a327a.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a239d924a26dbc7f33052c63a20a327a.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c82644f77c5455ceb7f94950e94273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/573490ed07601c52a92d4a374db57d95.png)
④若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05ccecaf28ac8d62d16577082832dab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
则全部正确命题的序号为
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2023-03-07更新
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5卷引用:北京中央民族大学附属中学2023届高三零模数学试题
北京中央民族大学附属中学2023届高三零模数学试题(已下线)北京市中央民族大学附属中学2023届高三零模数学试题山东师范大学附属中学幸福柳分校2023-2024学年高一上学期期中考试数学试题(已下线)第三章 函数的概念与性质-【优化数学】单元测试能力卷(人教A版2019)(已下线)专题6 绝对值函数中参数问题(每日一题)
3 . 两个数互素是指两个正整数之间除了1之外没有其他公约数.欧拉函数
(
)的函数值等于所有不超过正整数n,且与n互素的正整数的个数,例如
,
.
关于欧拉函数给出下面四个结论:
①
;
②
,恒有
;
③若m,n(
)都是素数,则
;
④若
(
),其中
为素数,则
.
(注:素数是指除了1和它本身以外不再有其他因数,且大于1的正整数.)
则所有正确结论的序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc89a53c03cb86fb653bb82128f6cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9edd29e22f6a7f4d14d9f8d2684d47e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39de1bc04496b97dcf401c669e6ab44e.png)
关于欧拉函数给出下面四个结论:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bb88141edd6ddf3efbede1cb9b9051.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b78297a65e7fad69635b19928ecc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a2eb229ae25851eae3cf941fd46eca4.png)
③若m,n(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d9712c3b25f3030e166e136d3a4686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b8178596507fe45cea77096a53d6395.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ae00da0e4adace07489880ab64d391.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ef0a61e3c701a7cb3a9f9ca3c8dd37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bced1fbb4e3bde1437f4fb2821d81a9.png)
(注:素数是指除了1和它本身以外不再有其他因数,且大于1的正整数.)
则所有正确结论的序号为
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4 . 双曲函数是由以
为底的指数函数
和
所产生的.其定义为:双曲正弦
,双曲余弦
,双曲正切
.类比三角函数的公式,我们给出如下双曲函数的公式,其中正确公式的序号为______ .
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/091c27cd99dd546f3efa77ea03a8d9d4.png)
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505226046079afd5eb9ca983d864cf0d.png)
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/214bc547f6215a5570216c55a6da1059.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eae1b87c23b45ce5e5e74d5b1d73234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c03d4c32ee9ca46479fb71de45dfb47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787c7d4925710c1f7ecc5106143595b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46659ee64fc4d5e2eea2a245d806c4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/521e3561a82d6a24feff97cd3c5f000a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/091c27cd99dd546f3efa77ea03a8d9d4.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505226046079afd5eb9ca983d864cf0d.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/214bc547f6215a5570216c55a6da1059.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbb5af71366e15029e7d45313f576186.png)
您最近一年使用:0次
2022-09-29更新
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1267次组卷
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3卷引用:2023届普通高等学校全国统一模拟招生考试新未来9月联考理科数学试题
解题方法
5 . 已知
,
,现有如下说法:①
;②
;③
.则正确的说法有______ .(横线上填写正确命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb4a2d342b5210b2a7f66c87b92caee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee38aaef3d774f1f3ec9feec48719a6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efa8c67c04d16b7e2d20f9fd90264ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ba5f6d6fd74616791ca9634c0ac55d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436bd161a549d55e748a72d95f71ea8c.png)
您最近一年使用:0次
6 . 定义:如果任取一个正常数
,使得定义在
上的函数
对于任意实数
,存在非零常数
,使
,则称函数
是“
函数”.以下关于“
函数”的判断:①函数
(
且
,
、
为非零常数)必是“
函数”;②若
,则“
函数”
为增函数;③若“
函数”满足对任意实数
,都有
,则所有的点
都在同一条直线上.其中正确判断的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4d59ea1fecd34b2d2526c31b5f8c23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983dd501c2afa3e37a5b94917a34184d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e34f42b3be15518c29e3689c9fe6d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ddfab0efacbf2c57d7a4ebd083fa0e.png)
您最近一年使用:0次