La [b]geometría analítica [/b]es una rama de la geometría que utiliza [u]métodos algebraicos[/u] para estudiar las propiedades geométricas de las figuras. [br][br]En lugar de trabajar solo con dibujos o construcciones, se emplean coordenadas y ecuaciones para describir y analizar objetos geométricos (puntos, vectores, rectas...). Esto facilita la resolución de problemas geométricos mediante herramientas matemáticas.
Utilizaremos el [b]sistema de ejes cartesianos [/b]para representar esto objetos.[b][br][/b][list][*]Cada[b] punto[/b] se describe mediante sus coordenadas A(2,4), B(5,6).[/*][*]El segmento orientado (flecha) que va desde A(origen) hasta B (extremo) se llama [b]Vector fijo[/b] y se representa por [img]data:image/png;base64,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[/img][/*][/list]
Definiremos como [b]Vector libre[/b], al representante de todos los vectores fijos equipolentes (misma dirección, módulo y sentido). Para denotarlo, como no están definidos el origen y el extremo, en lugar de utilizar [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAiCAYAAACnSgJKAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAQaSURBVFhH7ZV/TJR1HMffzx0HBzF3NAW3q0WCINBmhKL8koygVusPpDV1a2VEVjOqMVeutQhzLGJZyipIDU4nFSgi8Ic0BgSo2JJsB3KzQaUhGnDySzh57t49x32FA67Dv+APfW23e77v5/t83t/P9/P9IVEBi4RK/C8K98wXhXvmi8ICmdtwuTQH+S03RNvBApmroH/qUZje3oTsxn+VoTiYPuFu9uOf/lFYnc+7MTN6zTdnalNIUPv4Ybmft2gDlsFruGFbggAnzZmh5myk7TiLtbmHUZARNW0uG8uQf6ITE05G1mtGtFzsmxrpbNTLwpEQ4S9aNgyYWtEhByF+SpsJB3+BYX8tLBs+wvfHdynCQiF381BqGON21vCK7JAWzNxcncUtHzfTLNp2FuhWs2G45yqsy/XQOS3xu/dKvaPMbQPn0NgVgo1rdEKZidxZjW9q2jFyy4bpYBIklRqePjoEBEZgfcI6BOnU4p3Abu4emabPErg0aR+7xSp1yUgHv0jRUQU1H0rNY3ltI5saf2LFoT3M2KCnl+8KPv1BNf92ijG/+Xgzs0I9KGlW88PzE0J0hcyOT6KpgYZROUbO6DnRxZI0PdWSL9ftbqNFyPPW3FxdiMo+X2hkIwyFdRgVuiu0Wi/xNAuPh7E5awtWqkfwq6EErbccsntz2184+m0bkgo+xbN+xOWyQhy//n/nnXtUvr7wkZSQw0MYFCHcmssXDqK4fxO2P78VGWl6SOZTOHC4C1bx/s4Zx4XyKrTLKixNeBLRnkIW0++CYdZkhDFlf7dSTdLSuouPaCRqwt/j2dtFm4HMrvwEpeYeDH6xkLU/t/DM6SbWVRqY90Yi9RoN/WOzWHXFKvq7qbnt6o8oaoxE+tZA2DeIZ9QreDlGC9l0BEWnhh2dXGLDoKkeJ44dQ9kPR3HE8B2Ky8+g975QxCdGYJnGaWeLQcxCZvueWEZkNnBMKKSVvcWp9FOpqHvuIHumExDcztzFah82suSlVdRKErWhr7PquuNj1+Zj9cwMe5CPJSUzOdn5F8cQnYqSdj1zO2Zvejfmdoaqmf6AmpC8GJd3aVJyad5XupmhaQb2zslunKd3hlEjeTDk3Sal5cw85tYeFiR5KnOu5oq36ieluTW3mlBcZETym2kImPPWC9GvvYoYbyv+KP0aJweELFDiiScXjLbht0vKPlEtweo14Q5tcghTWNl3Mp1BIZlscLmiFax/cm+ikoHkzbXZ553WhIWt70fQw0Xmcv85fvVCMD0ltXJM7+XvIva0uTItdZ+nMzZArdQ0iM+8k8uKi7Mmz9LO8pxtjL5fZU9R6RfI5B1fsrahkvt2b2e8/VvlrtL4+jNwVSRjHn+CG2MjGazXc2VUCrflVLBzRMRSuHvv80U0B/4DRF7GvJml8/YAAAAASUVORK5CYII=[/img] utilizaremos [img]data:image/png;base64,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[/img].[br][br][list][*]Para obtener las [b]coordenadas de un vector[/b], restamos las coordenadas de su origen menos las de su extremo. Estas coordenadas indican lo que avanza o retrocede el vector y lo que sube o baja. [br][br]Ejemplo [br]A(2,5)[br]B(5,-3) el vector [img]data:image/png;base64,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[/img] =(5-2,-3-5)= ([color=#1e84cc]3[/color],[color=#ff0000]-8[/color]) esto significa [i]"Por cada [color=#1e84cc]tres que avanzo, [/color][color=#ff0000] bajo 8[/color]" [/i][/*][/list][br][list][*]Para obtener el módulo del vector [img]data:image/png;base64,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[/img] =(x , y) , utilizamos el teorema de Pitágoras [math]|AB|=\sqrt{x^2+y^2}[/math][br][/*][/list][img]data:image/png;base64,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[/img]
[b]Página 160 . Ejercicios 1,2[br]Página 177. Ejercicio 1[/b]