1 . 计算:
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0689279049eb655400b2fe375155934.png)
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2 . 综合与实践
在综合实践课上,老师让同学们用一张正方形纸片制作一个无盖长方体形盒子.
(1)操作计算:
操作:如图1,在边长为
的正方形四个角分别剪去边长为
的小正方形,再将剩余部分折成无盖长方体形盒子,如图2.
计算:①折成的长方体形盒子的高
______(用
或
的代数式表示);
②折成的长方体形盒子底面面积
______(用
的代数式表示).
(2)规律探究:
设图1中正方形纸片的边长为
,小正方形的边长
取不同值时,对应的长方体形盒子的容积列表如下:
提示:长方体的容积
底面积×高.
①表格中,
______,
______;
②在图3中近似画出长方体盒子的容积随小正方形边长变化的折线图,并根据折线图写出一个正确的信息:______;
(3)拓展应用:
如图4长方形纸片,已知长是宽的2倍,且小正方形的边长等于长方形宽的
,剪去小正方形后,若剩余纸片折成长方体盒子的容积为
,求长方形纸片的长.
在综合实践课上,老师让同学们用一张正方形纸片制作一个无盖长方体形盒子.
(1)操作计算:
操作:如图1,在边长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/d1729a65-d120-499c-8029-dd40e03f007c.png?resizew=292)
计算:①折成的长方体形盒子的高
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffb70883828ee231b42167ca909d4f96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
②折成的长方体形盒子底面面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447a9718a502491b47072ce013c26a2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)规律探究:
设图1中正方形纸片的边长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb26c5cdef6f16f4b39cd091041b439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
小正方形边长 | 1 | 2 | 3 | 4 | |||||
长方体容积 | 72 | 16 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
①表格中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
②在图3中近似画出长方体盒子的容积随小正方形边长变化的折线图,并根据折线图写出一个正确的信息:______;
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/538fd396-0117-4eab-9640-5dd592b23ab9.png?resizew=272)
(3)拓展应用:
如图4长方形纸片,已知长是宽的2倍,且小正方形的边长等于长方形宽的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c7382ecfccdcab92b208125ccf06c6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/d2045264-971e-4b73-95c4-0d2b25cdb6cd.png?resizew=170)
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3 . 下列说法:①角是轴对称图形,对称轴是角的平分线;②一个数a有两个平方根;③利用经度和纬度可以确定一座城市的地理位置;④两边及其一角对应相等的两个三角形全等;⑤
的立方根是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0415147b2dc37f0580c2e64df1f4c337.png)
其中正确的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea277ccdab6e87666a4c220019112db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0415147b2dc37f0580c2e64df1f4c337.png)
其中正确的个数是( )
A.1 | B.2 | C.3 | D.4 |
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4 . 求常见代数式的值:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89427152744da356d402faed811af55c.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f2760c468e5f46506c0b7b76c2997d.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b917aeb90a43d1d276756928df6217db.png)
_______ ,
的平方根是_______ ;
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa67ef06e8a3348aa2869d61b285ee4d.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ddd60157d6b3fdb530793a9bd50cadd.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac55dbd665db64f9f86b265cd71e9204.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d9f9298a14bf9f7319e078540bd3d8.png)
_______ ;
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5980cea99297a6f35c9b2be15400be0.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5270206efc6bfc4dd17601e27ef05feb.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4261d91346d49086af34d52f03cd55e0.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b664fc18e5bbded451ea7477111219f.png)
_______ ;
(4)平方根等于它本身的数是_______ ,立方根等于它本身的数是_______ ;
(5)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ba740277116c683cff8170a42969bad.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a09a473aa6c9b2055d960b3fb551f3.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc1b810540484239719ab96371993a89.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e216d7f635deac1ab358438365726dd3.png)
_______ ;
(6)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565b6aca76cfc4cc6c14f1ef9714129d.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8598ee08fefae0bd26d64f851aea87a5.png)
_______ .
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89427152744da356d402faed811af55c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f2760c468e5f46506c0b7b76c2997d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b917aeb90a43d1d276756928df6217db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c22de99d72b04431cce15c06f932be1.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa67ef06e8a3348aa2869d61b285ee4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ddd60157d6b3fdb530793a9bd50cadd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac55dbd665db64f9f86b265cd71e9204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d9f9298a14bf9f7319e078540bd3d8.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5980cea99297a6f35c9b2be15400be0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5270206efc6bfc4dd17601e27ef05feb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4261d91346d49086af34d52f03cd55e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b664fc18e5bbded451ea7477111219f.png)
(4)平方根等于它本身的数是
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ba740277116c683cff8170a42969bad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a09a473aa6c9b2055d960b3fb551f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc1b810540484239719ab96371993a89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e216d7f635deac1ab358438365726dd3.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565b6aca76cfc4cc6c14f1ef9714129d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8598ee08fefae0bd26d64f851aea87a5.png)
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5 . 下列说法,其中错误的是( )
A.![]() ![]() |
B.若![]() ![]() |
C.近似数![]() |
D.根据作图痕连,可成功找出到三角形三边距离相等的点 |
您最近一年使用:0次
6 . 下列语句:①2是4的平方根.②
,
,
都是无理数.③实数和数轴上的点一一对应.④
的立方根是2.⑤
.⑥
,则
.正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b15e1ee2b0f7e006225ad9476adb133.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdefcc8672cae89e5d6b188288ebf99b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8deb3ffecd13e87e074f6c1ba562b873.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b1625d21fa2fb85cf8c02d8e99f175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/346075e3292bdc28de44ca03f178aca3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f79a5362967173260ef06affd4a32347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c485eb75c82c24241f2b53d5a29c7ba8.png)
A.2个 | B.3个 | C.4个 | D.5个 |
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7 . 计算:
(1)把下列实数近似地表示在数轴上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffeeb3a1829115f9e2517091cd45eac5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/5ea47395-fb2c-4c45-9722-61b70748b9ac.png?resizew=350)
(2)观察(1)中的数轴,这四个数中绝对值最大的数是 .
(1)把下列实数近似地表示在数轴上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffeeb3a1829115f9e2517091cd45eac5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/5ea47395-fb2c-4c45-9722-61b70748b9ac.png?resizew=350)
(2)观察(1)中的数轴,这四个数中绝对值最大的数是 .
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2024-01-03更新
|
61次组卷
|
3卷引用:浙江省温州市苍南县灵溪镇第一中学教育集团2023-2024学年七年级上学期期中数学试题
浙江省温州市苍南县灵溪镇第一中学教育集团2023-2024学年七年级上学期期中数学试题浙江省温州市龙湾区龙湾区实验中学2023-2024学年七年级上学期期中数学试题(已下线)专题6.11 实数(全章分层练习)(基础练)-2023-2024学年七年级数学下册基础知识专项突破讲与练(人教版)
22-23七年级下·全国·课后作业
8 . 点
(a≥0)所在的象限是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5fc89a3e25a1c11e328df8d30d42711.png)
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9 . 对于任意实数a、b,用“※”定义新运算如下:
(1)
.如
.已知
的结果是6,求
的值.
(2)
.如
.已知
结果为
,求
的值.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9fea8f712a295beb70386a408cb6005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c7fee08ac4216c3ce8c88c64d2f164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0897ff39452f2889b22ae60f49f20496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe43fb843a66594f9b316608b6ae1b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ffcbbd23e80ed77b2a98df57494b70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40cb7bb9bf1735ec1a0c53d47db4637d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb9c3c4713a57bdd1553dbf2c2a661f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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10 . 计算:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee2e76587bf179d9d03fbbb9a529922.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d5d0462371424edf944c34ad2012405.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67660b481babf0f543dcf2d7b2fad8cb.png)
(4)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee2e76587bf179d9d03fbbb9a529922.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d5d0462371424edf944c34ad2012405.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67660b481babf0f543dcf2d7b2fad8cb.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64970c7b1e48e21d6b720c0d6218589d.png)
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