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Unit 3 · Cabar Minda
Unit 3

Cabar Minda

Mei dan Arif masing-masing ada sekeping kad bentangan.
Bentangan Mei: 2 segi tiga + 3 segi empat tepat.
Bentangan Arif: 1 bulatan + 1 bentuk kipas.
Apabila dilipat, bentuk apakah yang mereka dapat? Prisma atau bukan?

Cabar Minda
思考挑战 = cabar minda;展开图 = bentangan 这一课动脑筋:看平面的展开图,想象把它折起来会变成什么立体图形,再判断是不是棱柱。Mei 的展开图有 2 个三角形和 3 个长方形;Arif 的展开图有 1 个圆形和 1 个像扇子的形状。 例子:一个牙膏盒剪开摊平,就是长方体的展开图。 注意:先看每个面的形状和个数,再在脑海里折起来。
mind challenge = cabar minda; net = bentangan This lesson is a thinking challenge: look at a flat net, imagine folding it up, name the solid it makes, and decide whether it is a prism. Mei's net has 2 triangles and 3 rectangles; Arif's net has 1 circle and 1 fan shape. Example: a toothpaste box cut open and laid flat is the net of a cuboid. Watch out: first look at the shape and number of the faces, then fold it in your mind.
Cara berfikir

Dari bentangan ke bentuk

Lihat → bayangkan lipat → namakan

bentangan: 6 segi empat sama
→
kubus · prisma

1 · lihat permukaan   2 · bayangkan lipat   3 · namakan dan semak

看展开图三步 = tiga langkah membaca bentangan 第一步看展开图有哪些形状、各有几个;第二步想象沿着线把面折起来;第三步说出立体的名字,再判断是不是棱柱。图中的展开图有 6 个一样的正方形,折起来就是正方体,正方体是棱柱。 例子:看到 6 个长方形,两两一样大 → 长方体。 注意:展开图的面数跟立体的面数一样多。
three steps to read a net = tiga langkah membaca bentangan Step one: see which shapes the net has and how many of each. Step two: imagine folding the faces along the lines. Step three: name the solid and decide whether it is a prism. The net in the picture has 6 equal squares, so it folds into a cube, and a cube is a prism. Example: 6 rectangles in matching pairs fold into a cuboid. Watch out: a net has exactly as many faces as the solid it makes.
Bentangan Mei

Bentangan ini dilipat menjadi …

Mei 的展开图 = bentangan Mei 两个三角形折起来一前一后,是一对一样的底面;三个长方形绕一圈连接它们,成为侧面。底面是三角形、有两个底面,所以是三角棱柱,属于棱柱。 例子:三角形包装的长条饼干盒就是这样折成的。 注意:三角锥(piramid segi tiga)的展开图是 4 个三角形,没有长方形。
Mei's net = bentangan Mei The two triangles fold up to sit at the front and back as a matching pair of bases, and the three rectangles wrap round to join them as the sides. Two triangle bases make a triangular prism, which is a prism. Example: a long biscuit box with triangle ends is folded like this. Watch out: the net of a triangular pyramid is 4 triangles with no rectangles at all.
Bentangan Arif

Bentangan ini dilipat menjadi …

Arif 的展开图 = bentangan Arif 像扇子的扇形卷起来,会变成一个尖尖的弯曲侧面;小圆形盖在下面当底。这就是圆锥体。圆锥体有曲面,所以不是棱柱。圆柱体的展开图是一个长方形加两个圆形。 例子:用扇形的纸卷起来就能做成派对帽。 注意:名字对了还要判断对“是不是棱柱”。
Arif's net = bentangan Arif The fan-shaped piece rolls up into a pointed curved side, and the small circle closes the bottom as the base. That makes a cone. A cone has a curved surface, so it is not a prism. The net of a cylinder is a rectangle with two circles. Example: rolling a fan-shaped piece of paper makes a party hat. Watch out: getting the name right is not enough; also decide correctly whether it is a prism.
Awas!

Prisma segi tiga atau piramid segi tiga?

Kedua-duanya ada segi tiga

prisma segi tiga
2 segi tiga + 3 segi empat tepat
piramid segi tiga
4 segi tiga

Ada segi empat tepat di tengah? → prisma. Semua segi tiga? → piramid

分清两种展开图 = beza dua bentangan 两种展开图都有三角形,很容易搞混。三角棱柱:2 个三角形 + 3 个长方形,共 5 个面,三角形一前一后当底面。三角锥:只有 4 个三角形,折起来三个三角形往上聚成一个尖顶,只有一个底面,所以不是棱柱。 例子:看到中间有一排长方形,就是棱柱的展开图。 注意:数一数三角形有几个:2 个是棱柱,4 个是三角锥。
telling two nets apart = beza dua bentangan Both nets contain triangles, so they are easy to mix up. Triangular prism: 2 triangles + 3 rectangles, 5 faces, with the triangles at the front and back as bases. Triangular pyramid: only 4 triangles; when folded, three of them meet at one top point, leaving just one base, so it is not a prism. Example: a row of rectangles in the middle means a prism net. Watch out: count the triangles: 2 means prism, 4 means triangular pyramid.
Padankan

Bentangan dan bentuknya

配对展开图 = padankan bentangan 十字形、6 个一样的正方形 → 正方体。一个长方形上下各接一个圆 → 圆柱体(长方形卷成弯曲的侧面)。一个正方形四边各接一个三角形 → 金字塔,三角形往上聚成尖顶。6 个长方形、两两一样大 → 长方体。 例子:长方体的展开图也常是十字形,但面有长有短。 注意:正方体和长方体的展开图样子很像,要看面是不是都一样大。
matching nets = padankan bentangan A cross of 6 equal squares → cube. A rectangle with a circle above and below → cylinder, because the rectangle rolls into the curved side. A square with a triangle on each side → pyramid, as the triangles meet at a top point. 6 rectangles in matching pairs → cuboid. Example: a cuboid net is often a cross shape too, but its faces are long and short. Watch out: cube and cuboid nets look alike, so check whether all the faces are the same size.
Ringkasan

Syabas!

lihat → bayangkan lipat → namakan

Bentangan Mei menjadi prisma segi tiga (prisma). Bentangan Arif menjadi kon (bukan prisma). 2 segi tiga + 3 segi empat tepat ialah prisma; 4 segi tiga ialah piramid.

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