1 . 我国南宋时期数学家杨辉于1261年写下的《详解九章算法》,书中记载的图表给出了
展开式的系数规律.
的值为1时,则x的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5abcb3802cf02be93a8c89067bd49a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c417c43997b29b34bed69f725a64b8.png)
A.2 | B.![]() | C.![]() | D.![]() |
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2 . 在古埃及纸草书中,人们把分子为1的分数叫做埃及分数,一个埃及分数能写成两个不相等的埃及分数的和,即
.根据这个规律,下列式子正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d064e4bf60942d9961bbe5f4c01da7d3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-11-22更新
|
93次组卷
|
2卷引用:山东省青岛市胶州市2023-2024学年七年级上学期期中考试数学试题
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3 . (多选)有5个正整数
,
,
,
,
.某数学兴趣小组的同学对5个正整数作规律探索,找出同时满足以下3个条件的数.①
,
,
是三个连续偶数(
),②
,
是两个连续奇数(
),③
.
甲:取
,5个正整数不能同时满足上述3个条件;
乙:当
满足“
是4的倍数”时,5个正整数能同时满足上述3个条件;
丙:若5个正整数
,
,
,
,
同时满足上述3个条件,则
(k为正整数);
丁:5个正整数满足上述3个条件,则:
与:
之和被10整除.
以上结论正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29719d33af813b84dae0191ae5c92a00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c2c21d8e5f5b628d3647b26666b1e4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7cff9d38b31544b194c5f5005a0b026.png)
甲:取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7def23f30138e0b7c4c1e498d6903a6c.png)
乙:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
丙:若5个正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9fcfdc376e99bfa1177bf9f315053cd.png)
丁:5个正整数满足上述3个条件,则:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b98deeedf687a16ecc552728eaea24ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1318a2a7f24644cec3ca584d90555268.png)
以上结论正确的有( )
A.甲 | B.乙 | C.丙 | D.丁 |
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4 . 将从1开始的正整数按一定规律排列如下表:![](https://img.xkw.com/dksih/QBM/2021/9/26/2816494894989312/2816576520773632/STEM/63735dba-2890-4305-b284-028f4b771da7.png)
在形如阴影部分所示的方框中,三个数的和可能是( )
![](https://img.xkw.com/dksih/QBM/2021/9/26/2816494894989312/2816576520773632/STEM/63735dba-2890-4305-b284-028f4b771da7.png)
在形如阴影部分所示的方框中,三个数的和可能是( )
A.84 | B.3000 | C.2013 | D.2018 |
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5 . 在古埃及纸草书中,人们把分子为1的分数叫做埃及分数,并且能把一个埃及分数写成两个不相等的埃及分数的和,即
.下面利用这个规律计算正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0c7a3e70d5fd7aca0c8355a42ab131.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
2021-11-27更新
|
340次组卷
|
3卷引用:山东省潍坊市2021-2022学年八年级上学期期中数学试题