IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008
description
Transcript of IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008
![Page 1: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/1.jpg)
IES MELIDESemana das Matemáticas10 - 14 de marzo 2008
![Page 2: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/2.jpg)
Ilusión óptica
![Page 3: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/3.jpg)
ARITMÉTICA
• LEITURA_DO_PENSAMENTO
![Page 4: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/4.jpg)
• Un número grande: o “googol”, nome inventado en 1920 polo sobriño dun matemático
• 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
![Page 5: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/5.jpg)
Ecuacións
• X^3+y^3+z^3 = 29• Ten solución x=3, y=1, z=1
![Page 6: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/6.jpg)
Ecuacións
• x^3+y^3+z^3 = 30• Ten solución • X=-283059965• Y=-2218888517• Z=2220422932• (descuberta en 1999)
![Page 7: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/7.jpg)
Ecuacións
• x^3+y^3+z^3 = 33
• Non se sabe resolver!
![Page 8: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/8.jpg)
XEOMETRÍA
• O V postulado de EuclidesPor un punto exterior a una recta só cabe
trazar unha paralela (Tolomeo).
![Page 9: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/9.jpg)
Paralelas
![Page 10: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/10.jpg)
Lente gravitatoria
![Page 11: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/11.jpg)
Lente gravitatoria
• Lente gravitatoria observada polo telescopio Hubble. Está provocada por un cúmulo de galaxias que está a 5.000 millóns de anos luz.
![Page 12: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/12.jpg)
ASTRONOMÍA
• http://hubblesite.org/
![Page 13: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/13.jpg)
ASTRONOMÍA
![Page 14: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/14.jpg)
ASTRONOMÍA• Evolución do Sol
![Page 15: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/15.jpg)
Ilusión óptica
![Page 16: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/16.jpg)
Banda de Moebius
![Page 17: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/17.jpg)
![Page 18: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/18.jpg)
En qué Universo vivimos?
• Grigori Perelman, matemático ruso que demostrou en 2006 a conxectura de Poincaré
![Page 19: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/19.jpg)
Banda de Moebius
![Page 20: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/20.jpg)
M. C. Escher (1898-1972)
![Page 21: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/21.jpg)
Ilusión óptica
![Page 22: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/22.jpg)
Ilusión óptica
![Page 23: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/23.jpg)
Escher teselas
![Page 24: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/24.jpg)
A Alhambra de Granada
![Page 25: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/25.jpg)
![Page 26: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/26.jpg)
R. Penrose (1931-)
![Page 27: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/27.jpg)
![Page 28: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/28.jpg)
Deseño asistido por ordenador
![Page 29: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/29.jpg)
![Page 30: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/30.jpg)
Fractais
![Page 31: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/31.jpg)
Fractais
![Page 32: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/32.jpg)
Paisaxes Fractais
![Page 33: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/33.jpg)
![Page 34: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/34.jpg)
Marie Alfred Cornu(1841-1902)
• Clotoide (Gomes, 1909)
![Page 35: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/35.jpg)
Deseño asistido por ordenador
• Curvas que permiten pasar suavemente dunha recta a unha circunferencia. Dese xeito podes xirar o volante do coche e moverte a velocidade constante entrando na curva.
![Page 36: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/36.jpg)
Deseño asistido por ordenador
![Page 37: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/37.jpg)
Antena de banda ultra-ancha
![Page 38: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/38.jpg)
Pontes
![Page 39: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/39.jpg)
Pontes
• A ponte do Pedrido, na ría de Betanzos (1943)
![Page 40: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/40.jpg)
32
![Page 41: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/41.jpg)
![Page 42: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/42.jpg)
![Page 43: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/43.jpg)
![Page 44: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/44.jpg)
Fullereno C60
![Page 45: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/45.jpg)
Richard Buckminster Fuller (1895 - 1983)
![Page 46: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/46.jpg)
Montreal, Canadá
![Page 47: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/47.jpg)
Cúpulas xeodésicas
![Page 48: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/48.jpg)
Ilusión óptica
![Page 49: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/49.jpg)
Cubo de E. Rubik (1944-)
![Page 50: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/50.jpg)
A ponte de TACOMA
![Page 51: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/51.jpg)
ECUACIÓNS
Unha ecuación non linear
dx2 / dt2+ b dx / dt +w2x = 0
tacoma.flv
![Page 52: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/52.jpg)
A ponte de TACOMA
•O colapso inducido polo vento ocurriu o 7 de novembro de 1940. •A ponte custara 8 millóns de dólares. Medía 1600 metros.•O evento só pode ser comprendido mediante a análise matemática dos sistemas estructurais e aerodinámicos.
![Page 53: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/53.jpg)
Fenómenos non lineares
![Page 54: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/54.jpg)
Atractor estrano
![Page 55: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/55.jpg)
• As ondas
O tempo
•Dinámica de fluídos
![Page 56: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/56.jpg)
• Turbulencias
•Ondas de choque
![Page 57: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/57.jpg)
O aparato circulatorio
• Aparello circulatorio, fluxo do sangue
![Page 58: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/58.jpg)
A voz humana
![Page 59: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/59.jpg)
Música e matemáticas
• Pitágoras (582 adC - 507 adC), a primeira escala musical
• Unha octava: 1:2
![Page 60: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/60.jpg)
Música e matemáticas
• Un intervalo de quinta xusta
• 2:3
![Page 61: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/61.jpg)
Música e matemáticas
• Un intervalo de cuarta xusta
• 3:4
![Page 62: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/62.jpg)
1:2:3:4
![Page 63: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/63.jpg)
• Resonancia
![Page 64: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/64.jpg)
A harmonía das esferas
• PtolomeoCertas notas musicais corresponden a planetas, as distancias entre estes e os seus movementos.
![Page 65: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/65.jpg)
• Planetas e estrelas
• Terra = 12.756 KM de diámetro
• Rigel, Betelgeuse• Arturo, Sirio, Pollux, Antares• Mu Cephei = 3.481.250.000 KM
• VV Cephei = 3.676.200.000 KM
![Page 66: IES MELIDE Semana das Matemáticas 10 - 14 de marzo 2008](https://reader035.fdocuments.mx/reader035/viewer/2022081421/56813c5d550346895da5dd09/html5/thumbnails/66.jpg)
•Gracias!
•http://www.quiquemacias.tk