2023七年级上·浙江·专题练习
1 . 探索规律
(1)按图示规律填写下表:
(2)按这种方式,摆第n个正方形需要多少棋子?
(1)按图示规律填写下表:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/33b3725d-bd80-4708-ae32-bd4ef6e36206.png?resizew=260)
图形编号 | (1) | (2) | (3) | (4) | (5) | (6) |
棋子个数 |
(2)按这种方式,摆第n个正方形需要多少棋子?
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2 . 已知
,(即当n为大于 1的奇数时,
, 当n为大于 1的偶数时,
,当
时, ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892829b328bbdfaea37d323e002a33a8.png)
________ .按此规律, ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857c26a1f96940b6be22b832834b457b.png)
_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdb115daee31c4caaa3cd73e8b0a69d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/386126cd9964ef11d14508eff6012c1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019ac8712f32f511d2ccfd47633d83e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892829b328bbdfaea37d323e002a33a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857c26a1f96940b6be22b832834b457b.png)
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3 . 如图,某校园“学思餐厅”把WIFI密码做成了数学题,小姚在餐厅就餐时,思索了一会,输入密码,顺利地连接到了“学思餐厅”的网络,那么他输入的密码是________ .
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4 . 如图,将某些具有一定规律的数按照如下图的方式进行排列,得到一个数阵,用如图的一个矩形框框住其中的4个数:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/5/0f037196-0a22-4123-a615-67e9fc49a9b8.png?resizew=218)
(1)若方框内最右上角的数是97,则最左下角的数为________;
(2)若方框内最右上角的数用a表示,请用含a的代数式表示这4个数之和;
(3)方框内的4个数之和可能为612吗?若可能,求最右上角的数;若不可能,请说明理由.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/5/0f037196-0a22-4123-a615-67e9fc49a9b8.png?resizew=218)
(1)若方框内最右上角的数是97,则最左下角的数为________;
(2)若方框内最右上角的数用a表示,请用含a的代数式表示这4个数之和;
(3)方框内的4个数之和可能为612吗?若可能,求最右上角的数;若不可能,请说明理由.
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2023-11-02更新
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249次组卷
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2卷引用:浙江省湖州市长兴县古城中学2023-2024学年七年级上学期12月月考数学试题
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5 . 王强准备用一段长为30米的篱笆围成一个三角形形状的区域,用于饲养小动物,已知第一条边为a米,由于受地势的限制,第二条边长只能是第一条边长的2倍多2米.
(1)请用a表示第二条边长和第三条边长;
(2)第一条边长可以为7米吗?为什么?
(1)请用a表示第二条边长和第三条边长;
(2)第一条边长可以为7米吗?为什么?
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6 . 4只猴子分桃,第一只猴子把桃分成数量相同的四份,多了一个自己偷吃,并把自己一份藏起来,第二只猴子把剩下的桃再次分成相同的四份,多了一个自己偷吃,并把自己一份藏起来,第三只,第四只猴子以此类推,问桃子至少________ 个.
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7 . 观察下列图形:第
个图形有
根小棍,第
个图形有
根小棍,第
个图形有
根小棍
,则第![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
为正整数
个图形中小棍根数共有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c79c562343bd2362a979662d3865020c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e78c013cb4fc61193b651072d5e15de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-10-21更新
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9卷引用:浙江省绍兴市浣东教育共同体2023年七年级上学期期中数学试题
浙江省绍兴市浣东教育共同体2023年七年级上学期期中数学试题湖北省武汉市黄陂区前川街道前川第三中学2023-2024学年七年级上学期月考数学试题江西省高安市2023-2024学年七年级上学期期中数学试题宁夏回族自治区银川市兴庆区兴庆区掌政中学2023-2024学年七年级上学期期中数学试题(已下线)广东省深圳市福田区皇岗创新实验学校2023-2024学年七年级上学期期中数学试题北京市昌平区昌平区第二中学2020-2021学年七年级上学期第一次月考数学试题湖北省武汉市江汉区四校联盟2021-2022学年七年级上学期10月月考数学试题江西省赣州市崇义县章源实验中学2021-2022学年七年级上学期期中数学试题贵州省铜仁市碧江区第五中学2021-2022学年七年级上学期期中数学试题
8 . 猜数字游戏中,小明写出如下一组数:
,
,
,
,
,…,小亮猜测出第六个数是
,根据此规律,第n(n为正整数)个数是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7eb3b5ab19d97f6c7df36294ccc3674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa5a1a2ee471c67aa5264c0991d05421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fb21965ac663301b220d388935daa57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad069a3aeb65abc7e3835666d7eb3fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/674d893fd53c2060f57342bb7de3812e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d469447b21f330fcf68478502efcb03.png)
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2023-10-11更新
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3卷引用:第02讲 代数式(5大题型)-【帮课堂】2023-2024学年七年级数学上册同步学与练(浙教版)
(已下线)第02讲 代数式(5大题型)-【帮课堂】2023-2024学年七年级数学上册同步学与练(浙教版)江苏省南通市崇川区启秀中学2023-2024学年七年级上学期第一次月考数学试题湖南省永州市宁远县2023-2024学年七年级上学期期中数学试题(创新班)
9 . 观察下列等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ed98e34b84285163a8b1b45c6fe403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d1cd9f5433594f0a1059d4b1c3058ea.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231fd0fbb933002c6a527dcc4f7186f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b700fa9aeb1016aa71f76e4b6bb212e.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4a646b098601ebe77beadf1707deca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b700fa9aeb1016aa71f76e4b6bb212e.png)
,将以上三个等式两边分别相加得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ed98e34b84285163a8b1b45c6fe403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4cd9a7068de096606d1ab991f5e6da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231fd0fbb933002c6a527dcc4f7186f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4cd9a7068de096606d1ab991f5e6da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4a646b098601ebe77beadf1707deca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d1cd9f5433594f0a1059d4b1c3058ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4cd9a7068de096606d1ab991f5e6da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b700fa9aeb1016aa71f76e4b6bb212e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4cd9a7068de096606d1ab991f5e6da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b700fa9aeb1016aa71f76e4b6bb212e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d1cd9f5433594f0a1059d4b1c3058ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
.
(1)猜想并写出
;
(2)求:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ed98e34b84285163a8b1b45c6fe403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4cd9a7068de096606d1ab991f5e6da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231fd0fbb933002c6a527dcc4f7186f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4cd9a7068de096606d1ab991f5e6da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4a646b098601ebe77beadf1707deca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1978720b41e5b79714a8bc5692ff4bc1.png)
;
(3)探究并计算:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ed98e34b84285163a8b1b45c6fe403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d1cd9f5433594f0a1059d4b1c3058ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231fd0fbb933002c6a527dcc4f7186f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b700fa9aeb1016aa71f76e4b6bb212e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4a646b098601ebe77beadf1707deca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b700fa9aeb1016aa71f76e4b6bb212e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ed98e34b84285163a8b1b45c6fe403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4cd9a7068de096606d1ab991f5e6da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231fd0fbb933002c6a527dcc4f7186f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4cd9a7068de096606d1ab991f5e6da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4a646b098601ebe77beadf1707deca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d1cd9f5433594f0a1059d4b1c3058ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4cd9a7068de096606d1ab991f5e6da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b700fa9aeb1016aa71f76e4b6bb212e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4cd9a7068de096606d1ab991f5e6da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b700fa9aeb1016aa71f76e4b6bb212e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d1cd9f5433594f0a1059d4b1c3058ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
(1)猜想并写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0238657619e3f3b63c0affd5d3b7492.png)
(2)求:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ed98e34b84285163a8b1b45c6fe403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4cd9a7068de096606d1ab991f5e6da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231fd0fbb933002c6a527dcc4f7186f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4cd9a7068de096606d1ab991f5e6da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4a646b098601ebe77beadf1707deca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1978720b41e5b79714a8bc5692ff4bc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/017e456192eb3866048bba6cc64c4dd3.png)
(3)探究并计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f1bc323b03ecc37a6cbf16ce2d163fd.png)
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2023-10-11更新
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244次组卷
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8卷引用:期中复习(压轴30题精选)-2023-2024学年七年级数学上学期期中期末考点归纳满分攻略讲练(浙教版)
(已下线)期中复习(压轴30题精选)-2023-2024学年七年级数学上学期期中期末考点归纳满分攻略讲练(浙教版)(已下线)第02讲 代数式(5大题型)-【帮课堂】2023-2024学年七年级数学上册同步学与练(浙教版)山东省滨州市无棣县碣石山镇中学2023-2024学年七年级上学期第一次月考数学试题山东省滨州市惠民县2023-2024学年七年级上学期第一次质量检测数学试题陕西西安西电附中2020-2021学年1七年级上学期第一次月考数学试题(已下线)专题1.42 有理数混合运算31题(培优篇)(专项练习)-2022-2023学年七年级数学上册基础知识专项讲练(人教版)(已下线)专题2.33 有理数混合运算31题(培优篇)(专项练习)-2022-2023学年七年级数学上册基础知识专项讲练(北师大版)江苏省盐城市滨海县滨淮初中教育集团2022-2023学年上学期七年级第一次学情检测数学试题
10 . 按下图方式摆放餐桌和椅子,1张餐桌可坐4人,2张餐桌可坐6人,3张餐桌可坐8人,那么n张餐桌可坐______ 人.(请用含n的式子表示)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/5/73aa51c5-7a33-4219-8ba1-505d3761ade8.png?resizew=363)
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