名校
1 . 完美数(Perfectnumber)是一类特殊的自然数,它的所有真因数(除自身之外的正因数)的和恰好等于它本身,寻找“完美数”用到函数
,
为n的所有真因数之和,如
,28是一个“完美数”,则再写出一个“完美数”为______ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c89be4a95c07a29fb3da2b99a9c1f0.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187c36acdb75cf0c81b05788f881d723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b098dbcb748b46034064431e67ddd859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/138c1de9bb4a383b6fd6ad6ce58f8164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c89be4a95c07a29fb3da2b99a9c1f0.png)
您最近一年使用:0次
2023-06-11更新
|
191次组卷
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2卷引用:安徽省五校(蒙城一中涡阳一中、淮南一中、怀远一中、颖上一中)2023届高三第二次五校5月联考数学试题
2 . 设
,定义
的差分运算为
.用
表示对a进行
次差分运算,显然,
是一个
维数组.称满足
的最小正整数
的值为
的深度.若这样的正整数
不存在,则称
的深度为
.
(1)已知
,则
的深度为__________ .
(2)
中深度为
的数组个数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84da5596bdffebcf9a0f685603657662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed7766bd92380d2b10832f60a90a3b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9301ec76b2c8303fb64ce2833e14457a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a8bfcc04bcc7a2ca6cff6d9cb82f487.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9301ec76b2c8303fb64ce2833e14457a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/996490d2b32a65a9e024ef09fae7d840.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9b31e47cda178a271e443c091c2d4f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3832b3e55a670e59c1d8a17c38868f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/904c6f95fde679d1d3a8209429cc2693.png)
您最近一年使用:0次
解题方法
3 . 已知定义在
上的奇函数
满足
,且当
时,
,则当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
___________ ;若对
都有
,则实数
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](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/5b6e80db7f2d705016809640d5c30dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a38e4bcbcd5c67b0141a232f493b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f5c837522a811402efb9762210c5362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/561acf30b972f1f0039b0c4a090913b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0947aeb8eeb0be487e71d8672a82034f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
20-21高一·全国·单元测试
名校
4 . 已知函数
,
.
(1)若函数
的图象与
轴无交点,则实数
的取值范围为________ ;
(2)若函数
在
上存在零点,则实数
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7d0a90e288535a2b1b614461f3aa826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-09-07更新
|
345次组卷
|
4卷引用:安徽省蚌埠市五河第一中学2023届高三上学期联考数学模拟综合测试卷
安徽省蚌埠市五河第一中学2023届高三上学期联考数学模拟综合测试卷(已下线)第三章+函数的概念与性质(能力提升)-2020-2021学年高一数学单元测试定心卷(人教A版2019必修第一册)(已下线)【课时作业】《第三章 函数概念与性质》本章小结-2021-2022学年高一数学《新教材同步精典导学案》(人教A版2019必修第一册)第二章 函数 章末综合测评-2021-2022学年高一上学期数学北师大版(2019)必修第一册
名校
5 . 若
,则
的值为_____ ;若
(
且
),则实数
的取值范围为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04fd2d6e3ba00ad1a251aeeee949eb33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71eee7c058232e4732ef498454def910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c24be57d2261bb13bc7ce970ebc6784.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/0a6936d370d6a238a608ca56f87198de.png)
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2020-04-20更新
|
297次组卷
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4卷引用:安徽省滁州市第二中学2022届高三下学期4月模底检测文科数学试题
安徽省滁州市第二中学2022届高三下学期4月模底检测文科数学试题浙江省名校新高考研究联盟(Z20联盟)2019-2020学年高三上学期12月第二次联考数学试题(已下线)押第17题函数与不等式综合或三角函数综合-备战2021年高考数学临考题号押题(浙江专用)(已下线)专题4.2 对数与对数函数(A卷基础篇)-2020-2021学年高一数学必修第二册同步单元AB卷(新教材人教B版)