ื”ื™ืงืฃ: ืจื™ื‘ื•ืข ื•ืžืœื‘ืŸ

ืœืžื“ื• ื•ืชืจื’ืœื• ื—ื™ืฉื•ื‘ ื”ื™ืงืฃ ืฉืœ ืจื™ื‘ื•ืขื™ื, ืžืœื‘ื ื™ื, ืฆื•ืจื•ืช ืžื•ืจื›ื‘ื•ืช ื•ืฆื•ืจื•ืช ืขื ื—ื•ืจื™ื.

ื ืคืชืจื•: 0

ืจื™ื‘ื•ืข ื•ืžืœื‘ืŸ

ื”ืฉืชืžืฉ ื‘ืื–ื•ืจ ื”ืขื‘ื•ื“ื”. ื›ืชื•ื‘ ืžืฉื•ื•ืื•ืช ื›ืžื• P = 24 ื›ื“ื™ ืœืคืชื•ืจ ืืช ื”ื”ื™ืงืฃ.

๐Ÿ“– ืžื“ืจื™ืš ืœืžื™ื“ื”: ื”ื™ืงืฃ

ื”ื”ื™ืงืฃ ื”ื•ื ืื•ืจืš ื”ื’ื‘ื•ืœ ื”ื›ื•ืœืœ ืฉืœ ืฆื•ืจื” ื“ื•-ืžืžื“ื™ืช. ื”ื•ื ืžื™ื™ืฆื’ ืืช ืื•ืจืš ื”ืžืกืœื•ืœ ืฉืžืงื™ืฃ ืืช ื”ืฆื•ืจื”.

1. ื”ื’ื‘ื•ืœ ื”ืžืœื (ืคื ื™ืžื™ + ื—ื™ืฆื•ื ื™)

ื›ืœืœ ื—ืฉื•ื‘ ื”ื•ื ืฉื”ื”ื™ืงืฃ ื”ื•ื ื”ื’ื‘ื•ืœ ื”ืžืœื ืฉืœ ื”ืฆื•ืจื”. ืื ืœืฆื•ืจื” ื™ืฉ ื—ื•ืจ ื‘ืชื•ื›ื”, ืžืกืœื•ืœ ืฉืžืงื™ืฃ ืืช ื›ืœ ื’ื‘ื•ืœื•ืช ื”ืฆื•ืจื” ื›ื•ืœืœ ืืช ื”ื’ื‘ื•ืœ ื”ื—ื™ืฆื•ื ื™ ืคืœื•ืก ื”ื’ื‘ื•ืœ ื”ืคื ื™ืžื™ (ื”ื—ื•ืจ). ืœื›ืŸ, ืขื‘ื•ืจ ืฆื•ืจื•ืช ืขื ื—ื•ืจื™ื:

2. ื ื•ืกื—ืื•ืช ืžืœื‘ืŸ ื•ืจื™ื‘ื•ืข

ืœืžืœื‘ืŸ ื™ืฉ ืจื•ื—ื‘ ww ื•ื’ื•ื‘ื” hh. ื”ืฆืœืขื•ืช ื”ื ื’ื“ื™ื•ืช ืฉื•ื•ืช ื‘ืื•ืจื›ืŸ, ื•ืœื›ืŸ ื”ื’ื‘ื•ืœ ื”ื—ื™ืฆื•ื ื™ ืžื•ืจื›ื‘ ืžืฉืชื™ ืฆืœืขื•ืช ื‘ืื•ืจืš ww ื•ืฉืชื™ื™ื ื‘ืื•ืจืš hh. ืกื›ื•ื ืื•ืจื›ืŸ ื ื•ืชืŸ ืืช ื ื•ืกื—ืช ื”ื”ื™ืงืฃ ืฉืœ ืžืœื‘ืŸ:
P=2w+2h=2(w+h)P = 2w + 2h = 2(w + h)

ืžืฉืชื ื™ื:
โ€ข PP = ื”ื™ืงืฃ
โ€ข ww = ืจื•ื—ื‘ ื”ืžืœื‘ืŸ
โ€ข hh = ื’ื•ื‘ื” ื”ืžืœื‘ืŸ

ืคื™ืชื•ื— ื”ื ื•ืกื—ื”:
1. ื”ื”ื™ืงืฃ ื”ื•ื ืกื›ื•ื ื›ืœ ืืจื‘ืข ื”ืฆืœืขื•ืช: P=w+h+w+hP = w + h + w + h.
2. ื›ื ืกื• ืื™ื‘ืจื™ื ื“ื•ืžื™ื: P=(w+w)+(h+h)=2w+2hP = (w + w) + (h + h) = 2w + 2h.
3. ื”ื•ืฆื™ืื• ื’ื•ืจื ืžืฉื•ืชืฃ 2: P=2(w+h)P = 2(w + h).
ืจื™ื‘ื•ืข ื”ื•ื ืžืงืจื” ืžื™ื•ื—ื“ ืฉืœ ืžืœื‘ืŸ ืฉื‘ื• ื›ืœ 4 ื”ืฆืœืขื•ืช ืฉื•ื•ืช ื‘ืื•ืจื›ืŸ (w=h=sw = h = s). ืขืœ ื™ื“ื™ ื”ืฆื‘ืช w=sw = s ื•-h=sh = s ื‘ื ื•ืกื—ืช ื”ืžืœื‘ืŸ, ื ืงื‘ืœ:
P=2(s+s)=2(2s)=4sP = 2(s + s) = 2(2s) = 4s

ืžืฉืชื ื™ื:
โ€ข PP = ื”ื™ืงืฃ
โ€ข ss = ืื•ืจืš ืฆืœืข ื”ืจื™ื‘ื•ืข

ืคื™ืชื•ื— ื”ื ื•ืกื—ื”:
1. ืจื™ื‘ื•ืข ื”ื•ื ืžืœื‘ืŸ ืฉื‘ื• ื”ืจื•ื—ื‘ ื•ื”ื’ื•ื‘ื” ืฉื•ื•ื™ื: w=h=sw = h = s.
2. ื”ืฆื™ื‘ื• ss ื‘ื ื•ืกื—ืช ื”ื™ืงืฃ ื”ืžืœื‘ืŸ: P=2(s+s)=2(2s)=4sP = 2(s + s) = 2(2s) = 4s.
ื ื•ืฉืื™ ืœื™ืžื•ื“

ืฉืืœื•ืช ื ืคื•ืฆื•ืช

ืžื”ื• ื”ื™ืงืฃ?

ื”ื™ืงืฃ ื”ื•ื ืื•ืจืš ื”ื’ื‘ื•ืœ ื”ื›ื•ืœืœ ืฉืœ ืฆื•ืจื” ื“ื•-ืžืžื“ื™ืช. ื”ื•ื ื›ื•ืœืœ ื”ืŸ ืืช ื”ื’ื‘ื•ืœ ื”ื—ื™ืฆื•ื ื™ ื•ื”ืŸ ืืช ื”ื’ื‘ื•ืœื•ืช ื”ืคื ื™ืžื™ื™ื (ื›ืžื• ื’ื‘ื•ืœื•ืช ืฉืœ ื—ื•ืจื™ื ื‘ืชื•ืš ื”ืฆื•ืจื”).

ื›ื™ืฆื“ ืžื—ืฉื‘ื™ื ื”ื™ืงืฃ ืžืœื‘ืŸ?

ื”ื”ื™ืงืฃ ืฉืœ ืžืœื‘ืŸ ื”ื•ื ืกื›ื•ื ื›ืœ ืืจื‘ืข ืฆืœืขื•ืชื™ื•: P = 2w + 2h ืื• P = 2(w + h), ื›ืืฉืจ w ื”ื•ื ื”ืจื•ื—ื‘ ื•-h ื”ื•ื ื”ื’ื•ื‘ื”.

ืžื“ื•ืข ื ื•ืกื—ืช ื”ื™ืงืฃ ื”ืจื™ื‘ื•ืข ื”ื™ื P = 4s?

ืจื™ื‘ื•ืข ื”ื•ื ืžืงืจื” ืžื™ื•ื—ื“ ืฉืœ ืžืœื‘ืŸ ืฉื‘ื• ื”ืจื•ื—ื‘ ื•ื”ื’ื•ื‘ื” ืฉื•ื•ื™ื (w = h = s). ื”ืฆื‘ื” ื‘ื ื•ืกื—ืช ื”ืžืœื‘ืŸ ื ื•ืชื ืช P = 2(s + s) = 4s.

ื›ื™ืฆื“ ืžืฉืคื™ืข ื—ื•ืจ ืขืœ ื”ื”ื™ืงืฃ?

ืžื›ื™ื•ื•ืŸ ืฉื”ื”ื™ืงืฃ ืžื•ื“ื“ ืืช ื›ืœ ื’ื‘ื•ืœื•ืช ื”ืฆื•ืจื”, ื—ื•ืจ ืžื•ืกื™ืฃ ืœื”ื™ืงืฃ. ื”ื”ื™ืงืฃ ื”ื›ื•ืœืœ ื”ื•ื ื”ื”ื™ืงืฃ ื”ื—ื™ืฆื•ื ื™ ื•ืขื•ื“ ื”ื”ื™ืงืฃ ื”ืคื ื™ืžื™ (ื”ื™ืงืฃ ื”ื—ื•ืจ).

ื›ื™ืฆื“ ืžื•ืฆืื™ื ื”ื™ืงืฃ ืฉืœ ืžืฉื•ืœืฉ ื™ืฉืจ ื–ื•ื•ื™ืช ืื ืื—ืช ื”ืฆืœืขื•ืช ื—ืกืจื”?

ืžื›ื™ื•ื•ืŸ ืฉื›ื‘ืจ ืœืžื“ื ื• ืืช ืžืฉืคื˜ ืคื™ืชื’ื•ืจืก (aยฒ + bยฒ = cยฒ), ืื ื• ื™ื›ื•ืœื™ื ืœื—ืฉื‘ ืชื—ื™ืœื” ืืช ืื•ืจืš ื”ืฆืœืข ื”ื—ืกืจื” ื•ืœืื—ืจ ืžื›ืŸ ืœื—ื‘ืจ ืืช ื›ืœ ืฉืœื•ืฉ ื”ืฆืœืขื•ืช ื›ื“ื™ ืœืงื‘ืœ ืืช ื”ื”ื™ืงืฃ.

ื”ื™ืงืฃ: ืจื™ื‘ื•ืข ื•ืžืœื‘ืŸ | SealMath