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Unit 78 · Kenali Bentangan Bentuk 3D
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Unit 78

Kenali Bentangan Bentuk 3D

Bentangan menunjukkan semua permukaan bentuk 3D apabila bentuk itu dibuka dan diratakan.

Kenali Bentangan Bentuk 3D
Langkah 1

Bentangan ialah bentuk yang dibuka

Bentangan menunjukkan semua permukaan bentuk 3D apabila bentuk itu dibuka dan diratakan.

kubusbuka6 segi empat sama
bentangan = 展开图
把立体图形沿着边剪开,摊平在桌上,得到的平面图就是展开图。展开图让我们一次看到所有的面。
例子:纸盒摊开后有上下 2 个、前后 2 个、左右 2 个面,共 2 + 2 + 2 = 6 个面。
注意:展开图要连在一起,剪成散开的碎片就不是展开图。
bentangan = net
Cut a 3D shape along some edges and lay it flat on the table; the flat pattern is called a net. A net lets us see every face at once.
Example: an opened box shows top and bottom, front and back, and two sides, 2 + 2 + 2 = 6 faces.
Watch out: the faces of a net stay joined; loose cut-out pieces are not a net.
Langkah 2

Semak bilangan bentuk asas

Kubus: 6 segi empat sama. Kuboid: 6 segi empat tepat, atau 4 segi empat tepat dan 2 segi empat sama. Silinder: 1 segi empat tepat dan 2 bulatan. Piramid: 4 segi tiga dan 1 segi empat sama. Kon: 1 bulatan dan 1 bahagian melengkung.

kubus · 6 □kuboidsilinder · 1 ▭ + 2 ○
bilangan bentuk asas = 基本形状的数目
检查展开图时,数一数有几个面、各是什么形状,要和立体图形完全一样。例如圆柱的展开图要有 2 个圆和 1 个长方形。
例子:四角锥的展开图要有 1 个正方形和 4 个三角形,共 1 + 4 = 5 块。
注意:少了一个面,折起来就会有一个洞。
bilangan bentuk asas = number of basic shapes
When checking a net, count its faces and name each shape; they must match the 3D shape exactly. A cylinder net, for instance, needs 2 circles and 1 rectangle.
Example: a square pyramid net needs 1 square and 4 triangles, 1 + 4 = 5 pieces.
Watch out: if one face is missing, the folded shape will have a hole.
Langkah 3

Bayangkan lipatan

Bayangkan setiap bahagian dilipat pada sisinya tanpa bertindih atau meninggalkan ruang.

lipat sisi → cantum permukaan
bayangkan lipatan = 想象折起来
看展开图时,在脑中把每一块沿着边往上折,看看能不能刚好合起来:面不能重叠,也不能留空隙。
例子:正方体展开图排成十字形,中间 1 块当底,四周 4 块折起来,最后 1 块当盖,1 + 4 + 1 = 6 块。
注意:6 个正方形排成一直线时,折不成正方体。
bayangkan lipatan = imagine the folds
Looking at a net, picture each part folding up along its edge and check that everything closes neatly, with no faces overlapping and no gaps left.
Example: a cross-shaped cube net has 1 middle square as the base, 4 squares folding up around it, and 1 as the lid, 1 + 4 + 1 = 6 squares.
Watch out: 6 squares in one straight row can never fold into a cube.
Aktiviti interaktif

Lipat bentangan

Pilih satu bentangan, tekan Lipat untuk melihat bentuk 3D, kemudian tekan Buka.

bentangan = 展开图
把立体形状打开压平,就得到展开图;把展开图沿边折起来,就变回立体。例子:正方体的展开图有 6 个正方形,圆柱的展开图是 1 个长方形加上下 2 个圆。注意:折起来时各面不能重叠,也不能留空隙。
bentangan = net
Opening a 3D shape and laying it flat gives its net; folding the net along its edges makes the 3D shape again. Example: a cube net has 6 squares, and a cylinder net has 1 rectangle with 2 circles at the top and bottom. Watch out: when folded, faces must not overlap or leave gaps.
Semak cepat · Soalan 1 / 2

Cuba sendiri

Pilih jawapan. Jika belum tepat, baca petunjuk dan cuba lagi.

Bentangan ialah bentuk 3D yang…

maksud bentangan = 展开图的意思
题目问:展开图是立体图形经过什么处理得到的。回想 Langkah 1 的三个箭头步骤。检查方法:想想做出来的东西是平面的还是立体的。
例子:一个纸盒有 6 个面,变成展开图后还是 6 个面,6 - 0 = 6,面的数目不变。
注意:展开图是一张“图”,想想它放在桌上是什么样子。
maksud bentangan = meaning of a net
The question asks what is done to a 3D shape to make a net. Recall the three arrow steps in Langkah 1. Check by asking whether the result is flat or solid.
Example: a box with 6 faces still has 6 faces as a net, 6 - 0 = 6, so the number of faces stays the same.
Watch out: a net is a picture-like pattern, so think about how it looks lying on a table.
Semak cepat · Soalan 2 / 2

Cuba sendiri

Pilih jawapan. Jika belum tepat, baca petunjuk dan cuba lagi.

Bentangan kubus mesti mempunyai…

bentangan kubus = 正方体展开图
题目问:正方体的展开图一定要有什么。方法:先数正方体有几个面,再想每个面是什么形状;展开以后,面的数目和形状都不会改变。
例子:长方体也有 6 个面,若有 2 个正方形,其余是 6 - 2 = 4 个长方形。
注意:数面的时候可以拿一个骰子转着数,避免漏数。
bentangan kubus = net of a cube
The question asks what a cube net must contain. Count how many faces a cube has, then think about the shape of each face; unfolding changes neither the number nor the shapes.
Example: a cuboid also has 6 faces, and if 2 are squares the other 6 - 2 = 4 are rectangles.
Watch out: turn a dice in your hand while counting faces so none is missed.
Ringkasan

Syabas!

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Ingat: bentangan ialah bentuk yang dibuka; semak bilangan bentuk asas; bayangkan lipatan.

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