1º Postulado da Determinação

1) Abra o Geogebra 3D;[br][br]2) Construa pontos A, B e C de modo que A possa ser qualquer e B e C sejam pontos do plano XY, utilize a ferramenta 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[/img]para vincular os pontos B e C ao plano XY;[br][br]3)   Utilize a ferramenta [img]data:image/png;base64,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[/img]e trace as retas [img]data:image/png;base64,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[/img], altere a cor de uma das retas para melhorar a visualização;[br][br]
a) Você sabe o que significa retas coincidentes?
b) As duas retas construídas são distintas e dizemos que duas retas são coincidentes quando possuem todos os seus pontos em comum. Mantendo o ponto B fixo e movendo o ponto C com a ferramenta[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHEAAAApCAYAAAACo8ZKAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAAuGSURBVHhe7Vt7VE75Gva/WeusZS1nLbOMYQxDHGZcK0kq6aIiKpKKMkKFcjcdTmIouUSkREUhhUpUR5JLCotcc7/kfgu5E+/5PW97164+M9uZ+sh8z1pW3/7t/e3L7/m9z/u87/40Ih0aPHQkfgXQkfgVQEfiVwAdiV8BVJP4/v176ZMOXxpUk/jhwwfatm0bpaWlSSM6fCn4JDmdOnUqtW7dmhISEqQRHb4EfBKJAQEB1LhxY9LX16eQkBCOTh0+Pz6JRG9vbxoyZAhFRkZyRE6bNo2ePn0q7dXhc+GTSBw1ahRNmDCBP0dERFCbNm3Iy8uLSkpKeEyHz4NPJnHMmDHSFtGGDRuoU6dONHz4cDpz5ow0qoO2oZpE5L+RI0fSuHHjpJEKZGdnk4mJCQ0aNIiOHDkijeqgTagm8e3bt+Th4UE+Pj7SSBWOHTtGDg4OZGFhQfv27ZNGtY+rV69SZmYWJSUl08mTJ+ndu3fSHs14/fo1HT9eRKmpaXTgwAGR38ukPQ0Lqkl89eoVubm5kZ+fnzRSHZhASG2vXr0oIyNDGtUu1qyJph9/bEuNGjUSquFJN2/elPZoxuXLl8nZeRh9880/yNLSSqSEs9KehgXVJD5//pxGjBhBkyZNkkZqo6ysjKZPn04dO3ak1atX83e0idjYWOratTs1afJP6t/fivLyPq4KSA+7dmXy8d9++51QkiFUXHxO2tuwoJrEJ0+ekKurK/n7+0sjmgGJmj9/PrVo0YKCg4OptLRU2lP/WLculkxNzalvXzOhCL1p+fIVVF6uuV34+PFjWrAghH7+uQv16KEvSidnOnu2WNrbsKCaRJABFzp58mRp5ONALlq5ciW1bNmSS5I/k7W6wtq168jKyoYCA2eTjY0djR79K927d0/aWx2nT5+m8eN9hbIECNftRU5OQzXK6cuXr+jGjRvi+DNM8u3bt2vlWiyIK1eu0qNHj6SR6igvL6e7d+/StWvXOS0pge2SEpz/NCvB/fv3NTZREESYRxxfVvaMLly4SBcvXhTHP1BP4oMHD2jYsGHcelMDNMw3btzItSQMES5Y3wCJFhb9KTJytVCBeeJ+h9P+/QekvVXAJKWkbOV8uH79BpHnJwgSnZkoGTjm+vXrtGLFShGlTtS5MyLWgFxcRojSKpEePqwibMeODJFTrWnu3GAxya+l0SrcvHlD+IWxIh250/nz53kM5798+YpY7KuEs3cQKagz9expwMdlZ/+3Gtk4NilpCw0d6kIJCRspLGwJKw6uuXTpMvUk3rlzR5xkKM2YMUMaUYddu3ax2XF0dKRTp05Jo/UDkGhubsHEYGIdHBwFCRFiEqpLKlRlwYKF5O09jgoLDzOJjo7VScS9IkKRM/E3PHw5LV68hGUXEx4Y+G+OLgALFBNsa2vPEVkTubm5Yg6Mafbs/1R2uHAtnBdy7ubmQcuWhdPChaE0YICdONaIYmLW0ps3b/lYkJicnEK9e/fhXO/oOJR+/32huJ+ltH17qnoSEcrOzs40a9YsaUQ9Dh06RHZ2dkLibLiWrK/XWiDRzKyfIDFBTOYVJsbdfaSImgfSERVA+eHj40dRUWvYVYNERJssp4iy6dNnkIFBL2HQongbJdabN2+EtJbQb78FkqGhEUcRngX7EB3Gxn3F4tnB55CBiFqyZBnp6xtSWlo6j6GUCQycQ92796RFi8J4McjnP3XqtEhbriLS+tHu3Tl8PACyunTpJki2p/z8AvYeOB7fU00ipMXJyUlcPFAaqQ2sGJwYN/7s2TPOH8XFxeKi+RQfHy9Wqi1H5Z49e/60hvt/IJMYGxsnctlLjrbBgx3p4MGD0hGyNCVz5Bw+fIRu3bpNvr5+TKJsbPbuzeMI9PObKCa4dk7FRCP32tkNElF4icdycnI4iioktUoKke+8vceTl9evPIfAwYP5QjoNRZoZpbFlmZWVLdKClQiYQH4OIDl5K0cioll5fkA1iaip0PyeM2eONFIbuGBcXJx4mAFipRpS+/btqUOHDvwZBCIa0dmBOUJToK6JlElcuzaWt1H4o3RYtSqSyQNKSx+zFCH3lJY+YhIRlSARxgLHxcSso3bt9NjtalKNFy9esnkyN7fkawAgw9NzNNnbD6omqTk5ucItm7NcYoEDMTEx1LZte+GeI9j01MS1a9dYRRB1+Axs2ZIspNSSoqOjK59FhmoSL1y4IFb1YAoKCpJGKgBnJvdN8cCFhYViAtqJXLRCrPTDdPToUTpx4gRHJKTr1q1b/MBwWzVv5q+iisR1vI3rgBzkHNk5Qkp9fSfwBOL6uB8fH99KEiFTYWGLxXks2GBoAr4HKbWyGsBRDWBBYrGYm/fnfAwgYpYuDWeZ3bt3L49B/iChiPSAgCmUmLiRDSD+VnzexPffr19/luyCggL+HoyNjc0A2rRpM28roZrEc+fOcWsNtZ8MPEx4eDgZGRnx5ACQUbyi+iPZrS/UJBETC3lDdBQUFPJYYmKiSAvDKl0rcr2SRKhJaGgoWVvbCtnP5WNq4wM7YFvbgbR16zZpjDhtwHQEB8/na0M+x44dL0oZP04tABZJaGiYUKhO9MMPbUhPr6NQrKp/2NbT+xc1bdpMzKuxuM/9/L0KEm35b02oJhF1DKQQhbyMqKgoIQtthdW1rIxQEFtUVCTseI/KG9AWlCTKUZ6RsZOlKS4unqMxKGiukNJxon68z/trkgh5i4hYJVxjV5Yw+TxKVDQ0FohosaT09CojA4MyadJkMU+DBYElvAgsLCxpzZoYjkAA5OI1nomJKTcbcExOzh72CfhX8TmX83JR0Ql2s7iHzZsrSNy8OYnPo4RqEiGJ9vb2QmrCeBsEoiuDiEOv1NraujIasZrRR50yZQpHpragJFHOZcjlrq5unPfg9mBiMInyfiWJsrFBQ/ynn/REFM8T+e8FjykBCXZxcaU+ffoK510hdwDOifIGpQYWACTb0tKmUgUAEILoRc0ZH79BGv1j1BmJeFMxcOBAofGoTbZTq1atxIT48kp5+PChmAifSgnFRXE8fsaRl5fHY9qAJhIRNfPmzeeJBZEwH0q3qiRRLjFQnsC9Ii/V7r9+4PeoKA8mTvTnZ1cCKgQn6u4+Siwed/L3n8yNEiUuXbrENSycc1HRcWm0CnC8cNYob+RcLsvpXyIRJgUNcFNTU2F1ezNp8gNAgjIzM8VD96uMRsgHeq2IRjTGtQFNJAJwkJA+OE5MKlpbMpQkysU+ngcyjK4IOkDowSI1oGhHJwgE4njMSU2gkRAUFEzNmn1Hv/zSjY2I8l6A8vJ3HO3o8aIsgSGCW8/PP8SOGK4USoDiX1ayOolEuE7kxObNm3MTvObqQo8SEjpz5kzeRjTiHZ2BgQFrvTYAx9itW4/KIlwG2lswIU2aNBVpIFpMYtU+OFgPj5Gcu5CDZCAlgEg4WyOjPtwSMzTszZ/Rc4WMaioPcF38tPP771sJV2pSrQukBM4PWYURgrRW/dNnYpGXUf4AmEtIL4xOfPx6HlNCNYkgBHUi2m5yu0kJPBDe8puZmVW21/BA6PKgLtTGD6ogZchJ+IsHlwFJRTRGR1d0aJSASuCVVHJycrUIlYGmNSY7JGQR9ylBbM0FXBP37t2llJQUvqamnKoESrdNm5L4/Khf0W1Cyaa8f3yG1KP80PQzGNUkIg/iZ4ro6H8MkFf8DkfZX929ezeXICBYh/qBahKxulEr/hFgn5EbkTeVuRHNb7ySQmNAh7qHahLVAkTBAOENv5wz8CbD2NiYsrKyqsmEDnWDOicR0Zieni5qqD5cWwIgDsTC+KDG0qFuUeckAjAxLi4uXF4gEeM/4cDR4qVyfb9T/DuiXkiEjKampgpb3pPzIV4/eXp60s6dO9la61C3qBcSAfzSDZEHtwry5N6hDnWPeiMRpOGNvrZ/tvh3RL2RqIP2oCOxwYPofxw71Q477MGWAAAAAElFTkSuQmCC[/img] é possível tornar estas duas retas distintas em retas coincidentes? Movimente o ponto C e tente tornar as retas coincidentes, em caso de dúvida verifique as equações de cada reta na janela de álgebra e verifique se estão iguais.[br][br]
c) Qual foi a posição do ponto C que permitiu que as retas fossem coincidentes?
d) Suponha que fossem marcados pontos D, E, F, ... no plano XY e fossem traçadas as retas [img]data:image/png;base64,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[/img], ao mover os pontos D, E, F, ... pelo plano XY quais são as posições que as retas [img]data:image/png;base64,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[/img] serão coincidentes com as retas [img]data:image/png;base64,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[/img]?[br][br]
e) O que você pode concluir nessa experimentação? Escreva com suas palavras.[br][br]
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Information: 1º Postulado da Determinação