Eixos de coordenades

[justify]La geometría anàlítica en el pla descriu les relacions entre els seus elements: punts, vectors i rectes. Per tal cosa és imprescindible un [b]sistema de coordenades[/b]. [br]Utilitzarem un sistema de coordenades cartesianes, format per dos eixos perpendiculars que es tallen en un punt (origen) i amb una orientació determinada. L'eix horitzontal s'anomena eix d'abcisses, eix OX o eix de les x; l'eix vertical s'anomena eix d'ordenades, eix OY o eix de les Y.[br]A la dreta de l'origen les abcisses són positives; a l'esquerra negatives. Per sobre de l'origen les ordenades són positives ; per sota negatives.[/justify][justify]Qualsevol punt P del pla queda determinat mitjançant dos nombres que anomenem [b]coordenades.[/b][br]La primera coordenada x, la abcissa, indica si el punt es troba a la dreta (valor positiu) o a l'esquerra de l'origen; la segona coordenada y , la ordenada, indica si el punt es troba per sobre (valor positiu) o per sota ( valor negatiu) de l'origen[/justify]

Vector fix

[justify]Anomenarem vector [math]\vec{v}=\vec{AB}[/math] al segment orientat amb origen en A i extrem en B. El vector denota una translació o moviment des d'un punt a un altre punt.[br][br]Un vector queda determinat si coneixem les seves dues components. [br]Les components són dos valors que indiquen quin moviment hem de realitzar per anar d'A a B realitzant primer un moviment horitzontal[br]( primera component ) i posteriorment un moviment vertical ( segona component)[br][br][br] [math]\vec{v}=\vec{AB}\ \longrightarrow\ B=A+\vec{v}\ \ o\ A=B-\vec{v}[/math][br][br][/justify]
[br]Les [b]característiques principals d'un vector[/b] [math]\vec{AB}[/math] són les següents:[br][br][list][*][b]Direcció[/b] d'un vector [math]\vec{AB}[/math] : És la determinada per la recta que conté [math]\vec{AB}[/math] i totes les seves paral·leles.[br][/*][/list][list][*][b]Sentit[/b] d'un vector[math]\vec{AB}[/math] : És el que va de l'origen a l'extrem (determinat per la punta de la fletxa). En una direcció existeixen dos sentits oposats.[/*][/list][list][*][b]Mòdul[/b] d'un vector fix[math]\vec{AB}[/math]: És la longitud del segment AB. Es representa per [math]\parallel\vec{AB}\parallel[/math] .[/*][/list]

Equacions de la recta

[br][justify]Sigui un punt A i un vector [math]\vec{v}[/math] que ens indica una direcció. Si al punt A li apliquem la translació de vector [math]\vec{v}[/math], obtenim un punt P. [math]\longrightarrow[/math] [math]A+\vec{v}=P[/math][br][br]Com varia la posició del punt P, si ara al punt A li apliquem una translació d'un vector proporcional a [math]\vec{v}[/math], o sigui una translació de vector [math]\lambda·\vec{v}[/math], amb [math]\lambda\in\mathbb{R}[/math] ? [br][br]( Recorda que [math]\lambda·\vec{v}[/math] és un vector amb la mateixa direcció que el vector [math]\vec{v}[/math], però de diferent longitud)[/justify][br]
En l'aplicació anterior hem vist que el conjunt de punts que es generen a partit d'un punt A al que apliquem una translació [math]\lambda·\vec{v}[/math] formen una recta[br]Per tant una recta queda determinada per[br][list][*]Un punt per on passa la recta[/*][*]Un vectror que ens indiqui la seva direcció ( vector director)[/*][/list]Anem a expressar la condició que compleixen les coordenades d'aquests punts per formar part d'una determinada recta ( equació de la recta )[br][br]Sigui un punt [math]A=\left(a_1,a_2\right)[/math] un punt per on passa la recta i [math]\vec{v}=\left(v_1,v_2\right)[/math] un vector director. Anomenem també [math]P=\left(x,y\right)[/math] a un punt qualsevol de la recta i [math]O=\left(0,0\right)[/math] a l'origen del sistema de coordenades

Posició relativa de dues rectes en el pla

[b]a) Vectors[/b][br][br]Direm que dos vectors són paral·lels ( tenen la mateixa direcció) si són proporcionals. [br][br][br] 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partim de dos vectors paral·lels que siguin vectors directors de dues rectes, aquestes rectes poden ser paral·leles o coincidents[br][br] 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[/img][br][br] 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[/img][br] [br][b]b) Rectes[/b][br][br]Si volem conèixer la posició d’una recte respecte l’altre, podem tenir tres casos diferents[br][br] 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[/img][br][br][br]Per establir la posició relativa, expressarem les dues rectes en forma implícita o les dues en forma explícita[br][br][br][table][tr][td][/td][td]Equació Implícita[br][br][img]data:image/png;base64,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[/img][/td][td]Equació explícita[br][br][img]data:image/png;base64,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[/img][/td][/tr][tr][td]Secants[/td][td] [img]data:image/png;base64,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[/img][/td][td] [img]data:image/png;base64,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[/img][/td][/tr][tr][td]Paral·leles[/td][td] [img]data:image/png;base64,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[/img][/td][td] [img]data:image/png;base64,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[/img][/td][/tr][tr][td]Coincidents[/td][td] [img]data:image/png;base64,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[/img][/td][td] [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAA3CAYAAAChMHI8AAAACXBIWXMAAA7YAAAO4QEJzBwcAAACU0lEQVR4nO2ZP3KCQBjFHzM5ymLhcAI8Aaahsk2nJTZ0lnY2scQubao06gnwBI6F7F02sPiHwIaFFSZrZl/HyLzH7/NbZea9MMbwX/Ty1w/QpQzMn4mu2cj+xCSJERBY5Y+fC4bLwYCIP3kumOSEw9SHh+q3kkkAQ9l+vcJ4DuySEOfVG+abA9zpDnFkYz97w/hy/RF5IL8Y10s9Y+p7v7oKYIjlDZD+Xm+wXA1Ts3Q//Rms8RKj9CtehDFYuMbIXmIbetnuIk1n1ngjAZhix6LLVBUyMnmRFdUkCNeMno88fBEF16nwP6NJmD5MdvBodl3Y3TSEsbqYDjIaSAiTnA5pzuK2mzzYneCV3G7AwR3CbvX4/WcIz0zue7fhwc7itrs82PEVz0t/GQKYBLnvdUTiYHdYmFnrM6OQoQRDzzjCxd1XHOz4hWVue2ZUMpRgsl3NflFuvuLg49ce1PYYEfwTS9VTRhWGT7lwTQIrZkHxBit69E27p4znegOQyMDoKgOjqwyMrjIwusrA6CoDo6sMjK4yMLrKwOgqA6OrDIyuMjC6Sn8YSSlblP4wXM1KJ/1hJKVsUQ1gKMsLUwc7FuI8y8tUuO9I4kC9oG3hWVfKtoQhluc7DJsjlrMkL1N5efqJLQ3UC1qZ51WSUrYlzL1vLNTYP/sG1YK2zlNBjWDKfWOlLFJQH56Nzky5b7xOVb1t7sOzEUy5bxRM9eGCVuCpIDlMpW+sTvXxglbgqSA5TGWX86nCSUAp6aag7cITTWDKZWofBW0XnniGN4AWMjC66huAdq7HNP1r2gAAAABJRU5ErkJggg==[/img][/td][/tr][/table][br][br]En el cas de rectes secants , el [b]punt d’intersecció[/b] de les dues rectes s’obté resolent el sistema d’equacions que formen les dues equacions de la recta[br][br][br][br][br][br][br]

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