ืฉื˜ื—: ๐ŸŽ“ ืžื‘ื—ืŸ ืกื™ื›ื•ื ืฉื˜ื—

ืืชื’ืจื• ืืช ืขืฆืžื›ื ืขื ืžื‘ื—ืŸ ืกื™ื›ื•ื ืฉื˜ื—. ืคืชืจื• 32 ืฉืืœื•ืช ืžืงื™ืคื•ืช ื”ืžื›ืกื•ืช ืืช ื›ืœ ื ื•ืฉืื™ ื”ืฉื˜ื— ืขื ืคืชืจื•ื ื•ืช ืžืคื•ืจื˜ื™ื ืฉืœื‘ ืื—ืจ ืฉืœื‘.

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ื ื•ืฉืื™ ืœื™ืžื•ื“

ืฉืืœื•ืช ื ืคื•ืฆื•ืช

ื›ื™ืฆื“ ืžื•ื’ื“ืจ ืฉื˜ื— ืฉืœ ืฆื•ืจื”?

ื”ืฉื˜ื— ืฉืœ ืฆื•ืจื” ืžื•ื’ื“ืจ ืขืœ ื™ื“ื™ ืžืกืคืจ ืจื™ื‘ื•ืขื™ ื”ื™ื—ื™ื“ื” ื‘ื’ื•ื“ืœ 1 ืขืœ 1 ืฉื ื›ื ืกื™ื ื‘ืชื•ื›ื”. ืœื“ื•ื’ืžื”, ืื ืžืœื‘ืŸ ื ื™ืชืŸ ืœื—ืœื•ืงื” ืžื“ื•ื™ืงืช ืœ-30 ืจื™ื‘ื•ืขื™ื ืฉืœ 1 ืขืœ 1, ื”ืฉื˜ื— ืฉืœื• ื”ื•ื 30.

ื›ื™ืฆื“ ืžื—ืฉื‘ื™ื ืฉื˜ื— ืฉืœ ืžืœื‘ืŸ ื•ืจื™ื‘ื•ืข?

ื”ืฉื˜ื— ืฉืœ ืžืœื‘ืŸ ืžื—ื•ืฉื‘ ื›ืจื•ื—ื‘ ร— ื’ื•ื‘ื” (A = w ร— h). ืจื™ื‘ื•ืข ื”ื•ื ืžืงืจื” ืคืจื˜ื™ ืฉืœ ืžืœื‘ืŸ ืฉื‘ื• ื›ืœ ื”ืฆืœืขื•ืช ืฉื•ื•ืช (w = h = s). ืœื›ืŸ, ื”ืฉื˜ื— ืฉืœ ืจื™ื‘ื•ืข ื”ื•ื ืฆืœืข ร— ืฆืœืข, ืื• ืฆืœืข ื‘ืจื™ื‘ื•ืข (A = sยฒ).

ื›ื™ืฆื“ ืžื—ืฉื‘ื™ื ืฉื˜ื— ืฉืœ ืžืฉื•ืœืฉ ื™ืฉืจ ื–ื•ื•ื™ืช?

ืฉื˜ื— ืฉืœ ืžืฉื•ืœืฉ ื™ืฉืจ ื–ื•ื•ื™ืช ืžื—ื•ืฉื‘ ื›ืžื—ืฆื™ืช ืžื›ืคืœืช ื”ื ื™ืฆื‘ื™ื ืฉืœื• (A = ab / 2). ื–ืืช ืžืฉื•ื ืฉืžืฉื•ืœืฉ ื™ืฉืจ ื–ื•ื•ื™ืช ืžื”ื•ื•ื” ื‘ื“ื™ื•ืง ื—ืฆื™ ืžืžืœื‘ืŸ ื‘ืขืœ ืจื•ื—ื‘ ื•ื’ื•ื‘ื” ื–ื”ื™ื.

ื›ื™ืฆื“ ืžื—ืฉื‘ื™ื ืฉื˜ื— ืฉืœ ืžืขื’ืœ?

ืฉื˜ื— ืฉืœ ืžืขื’ืœ ืžื—ื•ืฉื‘ ื›-ฯ€ ื›ืคื•ืœ ื”ืจื“ื™ื•ืก ื‘ืจื™ื‘ื•ืข (A = ฯ€rยฒ). ืžื›ื™ื•ื•ืŸ ืฉ-ฯ€ ื”ื•ื ืžืกืคืจ ืื™-ืจืฆื™ื•ื ืœื™, ืฉื˜ื— ื”ืžืขื’ืœ ืขื‘ื•ืจ ืจื“ื™ื•ืก ืจืฆื™ื•ื ืœื™ ื™ื”ื™ื” ืชืžื™ื“ ืžืกืคืจ ืื™-ืจืฆื™ื•ื ืœื™.

ืžื”ื• ืžืฉืคื˜ ืคื™ืชื’ื•ืจืก?

ืžืฉืคื˜ ืคื™ืชื’ื•ืจืก ืงื•ื‘ืข ื›ื™ ื‘ืžืฉื•ืœืฉ ื™ืฉืจ ื–ื•ื•ื™ืช, ืกื›ื•ื ืจื™ื‘ื•ืขื™ ื”ื ื™ืฆื‘ื™ื ืฉื•ื•ื” ืœืจื™ื‘ื•ืข ื”ื™ืชืจ (aยฒ + bยฒ = cยฒ). ืžืฉืชืžืฉื™ื ื‘ื• ื›ื“ื™ ืœืžืฆื•ื ืื•ืจืš ืฆืœืข ื—ืกืจื” ื›ืืฉืจ ืฉืชื™ ื”ืฆืœืขื•ืช ื”ืื—ืจื•ืช ื™ื“ื•ืขื•ืช.

ืžื”ื• ื™ื—ืก ื”ืฉื˜ื—ื™ื ื‘ื™ืŸ ืฆื•ืจื•ืช ื—ืกื•ืžื•ืช?

ืขื‘ื•ืจ ืจื™ื‘ื•ืข ื”ื—ืกื•ื ื‘ืžืขื’ืœ, ื™ื—ืก ื”ืฉื˜ื— ื‘ื™ืŸ ื”ืจื™ื‘ื•ืข ืœืžืขื’ืœ ื”ื•ื ืชืžื™ื“ ื‘ื“ื™ื•ืง 2/ฯ€ โ‰ˆ 0.637. ืขื‘ื•ืจ ืžืขื’ืœ ื”ื—ืกื•ื ื‘ืจื™ื‘ื•ืข, ื™ื—ืก ื”ืฉื˜ื— ื‘ื™ืŸ ื”ืžืขื’ืœ ืœืจื™ื‘ื•ืข ื”ื•ื ืชืžื™ื“ ื‘ื“ื™ื•ืง ฯ€/4 โ‰ˆ 0.785. ื™ื—ืกื™ื ืืœื• ืงื‘ื•ืขื™ื ืœืœื ืงืฉืจ ืœื’ื•ื“ืœ ื”ืคื™ื–ื™ ืฉืœ ื”ืฆื•ืจื•ืช.

ืžื”ื ืกื•ื’ื™ ื”ืžืฉื•ืœืฉื™ื ื”ืžื™ื•ื—ื“ื™ื ื”ืขื™ืงืจื™ื™ื?

ืฉืœื•ืฉืช ื”ืกื•ื’ื™ื ื”ืขื™ืงืจื™ื™ื ื”ื: ืžืฉื•ืœืฉ ืฉื•ื•ื” ืฉื•ืงื™ื™ื (ืฉืชื™ ืฉื•ืงื™ื™ื ืฉื•ื•ืช ื•ืฉืชื™ ื–ื•ื•ื™ื•ืช ื‘ืกื™ืก ืฉื•ื•ืช), ืžืฉื•ืœืฉ ืฉื•ื•ื” ืฆืœืขื•ืช (ื›ืœ ื”ืฆืœืขื•ืช ื•ื”ื–ื•ื•ื™ื•ืช ืฉื•ื•ืช โ€” ื›ืœ ื–ื•ื•ื™ืช ื”ื™ื 60ยฐ), ื•ืžืฉื•ืœืฉ 30-60-90 (ื™ื—ืกื™ ืฆืœืขื•ืช ืงื‘ื•ืขื™ื ืฉืœ 1 : โˆš3 : 2).

ืžื“ื•ืข 1 ืก"ืžยฒ ืฉื•ื•ื” 100 ืž"ืžยฒ ื•ืœื 10 ืž"ืžยฒ?

ืžื›ื™ื•ื•ืŸ ืฉื”ืฉื˜ื— ื”ื•ื ื“ื•-ืžืžื“ื™ (ืื•ืจืš ร— ืื•ืจืš), ื’ื•ืจื ื”ื”ืžืจื” ื—ื™ื™ื‘ ืœื”ื™ื•ืช ืžื•ื—ืœ ืคืขืžื™ื™ื. ืžืื—ืจ ืฉ-1 ืก"ืž = 10 ืž"ืž, ืžืงื‘ืœื™ื 1 ืก"ืžยฒ = 10 ืž"ืž ร— 10 ืž"ืž = 100 ืž"ืžยฒ. ื‘ื›ืœืœ: ืื ื™ื—ื™ื“ื” ืื—ืช = k ื™ื—ื™ื“ื•ืช ืžืฉื ื”, ืื– ื™ื—ื™ื“ื”ยฒ ืื—ืช = kยฒ ื™ื—ื™ื“ื•ืช ืžืฉื ื”ยฒ.

ื”ืื ื ื™ืชืŸ ืœื”ืขืชื™ืง ื•ืœื”ื“ื‘ื™ืง ืžืชื™ื‘ืช ื”ืงืœื˜ ืืœ ื”ืžื—ืฉื‘ื•ืŸ?

ื›ืŸ! ื ื™ืชืŸ ืœื”ืขืชื™ืง ืคื•ื ืงืฆื™ื•ืช ืืจื™ืชืžื˜ื™ื•ืช ื‘ืกื™ืกื™ื•ืช ืžืชื™ื‘ืช ื”ืงืœื˜ ืฉืœ ื”ืชืจื’ื™ืœ ื•ืœื”ื“ื‘ื™ืง ืื•ืชืŸ ื™ืฉื™ืจื•ืช ืœืžื—ืฉื‘ื•ืŸ ื”ืžื“ืขื™ ืœืฆื•ืจืš ืื™ืžื•ืช ืžื”ื™ืจ ื•ืกื™ื•ืข ื‘ื—ื™ืฉื•ื‘ื™ื.

ืžื”ื• ืžื“ืจื™ืš ื”ืœืžื™ื“ื”?

ืžื“ืจื™ืš ื”ืœืžื™ื“ื” ืžืกืคืง ื”ืกื‘ืจื™ื ืฉืœื‘ ืื—ืจ ืฉืœื‘, ื—ื•ืงื™ื ื•ื“ื•ื’ืžืื•ืช ืœื›ืœ ื ื•ืฉื ืžืชืžื˜ื™. ื ื™ืชืŸ ืœื’ืฉืช ืืœื™ื• ืขืœ ื™ื“ื™ ืœื—ื™ืฆื” ืขืœ ื›ืคืชื•ืจ "ืžื“ืจื™ืš ืœืžื™ื“ื”", ืฉื”ื•ืคืš ืืช ื›ืจื˜ื™ืกื™ื™ืช ื”ืชืจื’ื™ืœ ื•ืžื’ืœื” ืืช ื”ืชื•ื›ืŸ ื”ืœื™ืžื•ื“ื™ ืฉืžืื—ื•ืจื™ ื‘ืขื™ื•ืช ื”ืชืจื’ื•ืœ.

ืžื‘ื—ืŸ ืกื™ื›ื•ื ืฉื˜ื— | SealMath | SealMath