# Фурьей: Долгион хийх

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Товшоод ажиллуул
"Товшоод ажиллуул" үгстэй дэлгэцийн дүрсийн HTML кодыг энд хэрэглэх. Долгион Синус Косинус PhET нь тэднээр дэмжигдсэн мөн боловсрол судлаачидтай адил.
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• Долгион
• Синус
• Косинус

### Тайлбар

Learn how to make waves of all different shapes by adding up sines or cosines. Make waves in space and time and measure their wavelengths and periods. See how changing the amplitudes of different harmonics changes the waves. Compare different mathematical expressions for your waves.

### Жишээ сургалтын Зорилго

• Explain qualitatively how sines and cosines add up to produce arbitrary periodic functions.
• Recognize that each Fourier component corresponds to a sinusoidal wave with a different wavelength or period.
• Mentally map simple functions between Fourier space and real space.
• Describe sounds in terms of sinusoidal waves.
• Describe the difference between waves in space and waves in time.
• Recognize that wavelength and period do not correspond to specific points on the graph but indicate the length/time between two consecutive troughs, peaks, or any other corresponding points.
• Become comfortable with various mathematical notations for writing Fourier transforms, and relate the mathematics to an intuitive picture of wave forms.
• Determine which aspect of a graph of a wave is described by each of the symbols lambda, T, k, omega, and n.
• Recognize that lambda & T and k & omega are analogous, but not the same.
• Translate an equation from summation notation to extended notation.
• Recognize that the width of a wave packet in position space is inversely related to the width of a wave packet in Fourier space.
• Explain how the Heisenberg Uncertainty principle results from the properties of waves.
• Recognize that the spacing between Fourier components is inversely related to the spacing between wave packets, and that a continuous distribution of fourier components leads to a single wave packet.
Хувилбар 3.06

### Багшийн зөвлөгөө

 Загварчлалын хяналт, загварыг хялбаршуулах болон суралцагчийн мэдлэг бүтээх ойлголт зэргийг үзэх ( PDF ).

### Багш илгээсэн үйл ажиллагаа

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Амхар All Amharic አራትዮሽ፡ ሞገድ መስራት
Англи All English Fourier: Making Waves
Баски All Euskara Fourier: Uhinak sortzen
Босни All Bosanski FURIJE-OVA SINTEZA - PRAVLJENJE TALASA
Булгар All български Фурие: Получаване на вълни
Вьетнам All Tiếng Việt Tổng hợp sóng
Герман All Deutsch Wellen zusammensetzen nach FOURIER
Грек All Ελληνικά Fourier: Δημιουργία Κυμάτων
Дани All Dansk Fourir: Bølgefremstilling
Еврей All עברית פוריה: עושים גלים
Индонез All Bahasa Indonesia Fourier : Mengkontruksi Gelombang
Испани All español Fourier: Fabricacion de Ondas
Испани (Мексик) All español (México) Fourier: Fabricacion de Ondas
Испани (Перу) All español (Perú) Fourier: Haciendo Ondas
Итали All italiano Fourier: Costruire le onde
Кхмер All Khmer Fourier: ការបង្កើតរលក
Лао All Lao ຟູເຍ້: ການເຮັດໃຫ້ຄື້ນຟອງ
Мажар All magyar Fourier: hullám-LEGO
Македон All македонски ФУРИОВА СИНТЕЗА -ПРАВЕЊЕ НА БРАНОВИ
Нидерланд All Nederlands Boventonen
Перс All فارسی تولید موج ها
Польш All polski Fourier: Konstruowanie fal
Португали All português Séries de Fourier: Fazendo Ondas
Португали (Бразил) All português (Brasil) Fourier: Criando Ondas
Серби All Српски ФУРИЈЕ-ОВА СИНТЕЗА -ПРАВЉЕЊЕ ТАЛАСА
Словак All Slovenčina Fourier: tvorenie vĺn
Солонгос All 한국어 푸리에: 파동 생성
Турк All Türkçe Fourier Serileri: Dalga Yapalım
Туркмен All Turkmen Furýe: tolkun ýasamak
Франц All français Fourier: Création d'ondes
Хорват All hrvatski Kompozicija valova (Fourierova sinteza)
Хятад (Уламжлалт) All 中文 (台灣) Fourier: Making Waves 傅力葉:與波共舞
Хятад (Энгийн) All 中文 (中国) 傅里叶:生成波
Эстон All Eesti Fourier: Lainete tekitamine
Япон All 日本語 フーリエ級数展開:波の合成
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