ื”ื™ืงืฃ: ืžืฉื•ืœืฉ ื™ืฉืจ ื–ื•ื•ื™ืช

ืœืžื“ื• ื•ืชืจื’ืœื• ื—ื™ืฉื•ื‘ ื”ื™ืงืฃ ืฉืœ ืžืฉื•ืœืฉื™ื ื™ืฉืจื™ ื–ื•ื•ื™ืช ื‘ืขื–ืจืช ืžืฉืคื˜ ืคื™ืชื’ื•ืจืก.

ื ืคืชืจื•: 0

ืžืฉื•ืœืฉ ื™ืฉืจ ื–ื•ื•ื™ืช

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

๐Ÿ“– ืžื“ืจื™ืš ืœืžื™ื“ื”: ื”ื™ืงืฃ

3. ื”ื™ืงืฃ ืžืฉื•ืœืฉ ื™ืฉืจ ื–ื•ื•ื™ืช

ืขื‘ื•ืจ ื›ืœ ืžืฉื•ืœืฉ ืขื ืฆืœืขื•ืช aa, bb ื•-cc, ื”ื”ื™ืงืฃ ื”ื•ื ืคืฉื•ื˜ ืกื›ื•ื ืฉืœื•ืฉ ื”ืฆืœืขื•ืช:
P=a+b+cP = a + b + c

ืขื‘ื•ืจ ืžืฉื•ืœืฉ ื™ืฉืจ ื–ื•ื•ื™ืช ืขื ื ื™ืฆื‘ื™ื aa ื•-bb, ื ื•ื›ืœ ืœื”ืฉืชืžืฉ ื‘ืžืฉืคื˜ ืคื™ืชื’ื•ืจืก (a2+b2=c2a^2 + b^2 = c^2) ื›ื“ื™ ืœืžืฆื•ื ืืช ื”ื™ืชืจ c=a2+b2c = \sqrt{a^2 + b^2}, ื•ืื– ืœื—ืฉื‘ ืืช ื”ื”ื™ืงืฃ.

ืžืฉืชื ื™ื:
โ€ข PP = ื”ื™ืงืฃ
โ€ข aa = ื”ื ื™ืฆื‘ ื”ืจืืฉื•ืŸ
โ€ข bb = ื”ื ื™ืฆื‘ ื”ืฉื ื™
โ€ข cc = ื”ื™ืชืจ

ืคื™ืชื•ื— ื”ื ื•ืกื—ื”:
1. ื”ื™ืงืฃ ืฉืœ ื›ืœ ืžืฉื•ืœืฉ ื”ื•ื ืกื›ื•ื ืฉืœื•ืฉ ืฆืœืขื•ืชื™ื•: P=a+b+cP = a + b + c.
2. ืขื‘ื•ืจ ืžืฉื•ืœืฉ ื™ืฉืจ ื–ื•ื•ื™ืช, ืื ื”ื™ืชืจ cc ืื™ื ื• ื™ื“ื•ืข, ื ื—ืฉื‘ ืื•ืชื• ื‘ืืžืฆืขื•ืช ืžืฉืคื˜ ืคื™ืชื’ื•ืจืก: c=a2+b2c = \sqrt{a^2 + b^2}.
3. ื ืฆื™ื‘ ืืช cc ื‘ื—ื–ืจื” ื›ื“ื™ ืœืžืฆื•ื ืืช ื”ื”ื™ืงืฃ.
ื ื•ื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: ืžืฉื•ืœืฉ ื™ืฉืจ ื–ื•ื•ื™ืช | SealMath