[br][br]GEOMETRÍA ANALÍTICA[br][br][b] [/b][br][b][u]1.1 Sistemas de Coordenadas Rectangulares[/u][/b][br][br]Las coordenadas cartesianas o coordenadas rectangulares (plano cartesiano) son un tipo de coordenadas[br]ortogonales usadas en espacios euclídeos, para la representación gráfica de una función, en geometría analítica, o del movimiento o posición en física, caracterizadas porque usa como referencia ejes ortogonales entre sí que se cortan en un punto origen. Las coordenadas cartesianas se definen así como la distancia al origen de las proyecciones ortogonales de un punto dado sobre cada uno de los ejes. La denominación de ‘cartesiano’ se introdujo en honor de René Descartes, quien lo utilizó de manera formal por primera vez.[br][br]Si el sistema en sí es un sistema bidimensional, se denomina plano cartesiano. El punto de corte de las rectas se hace coincidir con el punto cero de las rectas y se conoce como origen del sistema. Al eje horizontal o de las abscisas se le asigna los números enteros de las equis (“x”); y al eje vertical o de las ordenadas se le asignan los números enteros de las yes (“y”). Al cortarse las dos rectas, dividen al plano en cuatro regiones o zonas, que se conocen con el nombre de cuadrantes:[br][list] [*]Primer cuadrante “I”: Región superior derecha[/*] [*]Segundo cuadrante “II”: Región superior izquierda[/*] [*]Tercer cuadrante “III”: Región inferior izquierda[/*] [*]Cuarto cuadrante “IV”: Región inferior derecha[/*][/list][br][br]El plano cartesiano se utiliza para asignarle una ubicación a cualquier punto en el plano. En la gráfica se indica el punto +2 en las abscisas y +3 en las ordenadas. El conjunto (2, 3) se denomina “par ordenado” y del mismo modo se pueden ubicar otros puntos.[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAR0AAAEdCAYAAAAxarN7AAAgAElEQVR4Ae29B5gUVbo+Prvu/e9dvbv+dnX17rp3dU2rIgYMGDGhCJKRbEAUFBQEQSUoiARBQRBMBEERAxIEkTTkMMwwMEyOTM459eTpmff/vKe2Znqa7p6u6uqa6eGc56mu6qoT33Pqre98J3x+kE4iIBGQCJiIgJ+JacmkJAISAYkAJOnIRiARkAiYioAkHVPhlolJBCQCknRkG5AISARMRUCSjqlwy8QkAhIBSTqyDUgEJAKmIiBJx1S4ZWISAYmAJB3ZBiQCEgFTEZCkYyrcMjGJgERAko5sAxIBiYCpCEjSMRVumZhEQCIgSUe2AYmARMBUBCTpmAq3TEwiIBGQpCPbgERAImAqApJ0TIVbJiYRkAhI0pFtQCIgETAVAUk6psItE5MISAQk6cg2IBGQCJiKgCQdU+GWiUkEJAKSdGQbkAhIBExFQJKOqXB3jMSioqLw9ddf4/jx4x2jQLIUpiIgScdUuDtGYu+++y4uvvhiPP/886ipqekYhZKlMA0BSTqmQd0xEsrLy8OTTz4JPz8/dOnSBUePHu0YBZOlMA0BSTqmQd1+EmpsbERtba04eK26+vp6VFdXn3Pf9vnKlStx5ZVXCtL5wx/+gHHjxqGyslL1Is8SgVYRkKTTKkQdz0N+fj6+++47zJ49G7GxsaKAJBzqaN577z189NFHyMnJOafg2dnZePzxx3HBBRfgN7/5jSCeG2+8EYGBgbAlr3MCyhsSARsEJOnYgHE+XDY0NKC4uBiUWDp16oSlS5eirKwMvB8REYGZM2di0KBBiImJaQFHVVUV1q1bh7/+9a/43e9+h//5n/8RpMPrCRMmoKSkpIV/+Uci4AyBDk86bfEFbs9pklx4hIWFoXfv3hg2bBjCw8NF+0hPT8fy5csxZ84cZGRktGgzSUlJePTRRwXRXHHFFbj88svx+9//HhdddBGuueaaDqfbaYs6JOBtlW6Lyvbynw5POuXl5abqHKxWK0pLS1FXV+flqmuOnvoZllNLg6Ue5tNPP8U999yDLVu2iMiOHTuGV155BSdOnBB6HTUF6nnWrl0rRqxIMA899BD+/Oc/46abbsLAgQNB3c6rr74KKpm94UiSlLSYD16b4Vh/xJTdTrMc64RpdnTX4UmHX+zc3FzT6pGNNTk52dTGw4aampqqmehILv/+97+xZMkS8VL/+OOPoqvE7petoyT0yCOP4I9//KPQ+YwfPx6//e1vBeH8/PPPuOyyy0S3a9euXbbBDLsm0VAPVVBQ0IIMDUvAQUQVFRVIS0sTROfgsVdusZ3aS5heSaiNI+3wpMMug7e+wI7qjlIHuyJmfrGYVkpKiuYXki/yfffdh8mTJ2PHjh1Cv7Nnz54WX3e+8KtWrRLK4+uvvx5nzpzBwoULRTfrueeeEy8JpR0OoVO34w2CtyUds+YFkXRI5JSuzHJsp2yvHd11eNLhl8NM0vElSYfi/OjRo8Ukv7Fjxwopht0YW0eS4YgVu1BUMvNlVEmH+iASwvbt24W0c+mllzZ11Wzj8PSaaVDKKSws1EysetNuC0mH7VRKOnprrB2Fk6TjvDIolS1evBi33HKL6D798ssv53hm14sK45tvvhnR0dHiOYfVKdlQwqHj6Fffvn3FvZdffll0hc6JyIMbknQ8AK8dBpWSjsGV4kuSDhXPe/fuFUPnL7zwglCA28JBkqHSmAQzderUJkU1l0Hw3oABA5q8//DDD7jkkkuExPPTTz813TfiQpKOESi2nzgk6RhcF75EOiw6u0bsWlEhbO8CAgLQp08fMbQeEhLS9NgR6VD5zJGvO+64A+vXr2/ya8SFN0mnAU5Gw6qBoowioNaIEjTH0dDoJD1AqAFk96oZK5+9kt0r51VHpe+0adPw1VdfiS6SvU/qfLi2yn59lSPSYVhOLjx8+DCysrLso/LovzdIJ6c2B2EVYcioaZ6PVG4tR2pNKiIrIhGYH4gjSUeQW+HeyGeVtQqp1amIroxGqCUU4ZZw8b+6oaUiOrMmE+EV4WD69k7qdOwR8dH/knSaK45ziEgknEeUmZkpZhi/8847sJVimn0rV3zhedg6Z6TD7pqWuUK2cbq69gbpLMtYhtHxoxFUHiSSJuGsy12HETEj0C20G24/eTseO/UY5qXME0TUiOY1ao7ySqJ5Me5FPBz2MO4IuQNdQ7pieMxwbMzfCFviYXrjE8ZjYfrCc6KRpHMOJL55Q5JOc71x/tC8efPQq1cvDBkyRHSHuG5K6zC0M9JpTsnYK6NJJ6U6BQOjBmJ03GiU1peKzMZVxmFU3CgMjh6MT7M+xdKUpRhxegSuD7weU5OmIrk62WWhgsqCMOHsBMxPn4+V2SuxNHMpekT0wN1n7sb63PWoaVC2AGF6r599HY9HPI6k6qQWcUrSaQGH7/6RpNNcd/Hx8Zg+fbrYmoLD30eOHNE8oZCx+TLpUKeyJmcNekX0wlc5XzWBU1hXiCOlR3C6/DQqrBUoryjHrvhdGBw+WEgu2wq3Nfl1dFFUV4TYylgU1heirrEOFqsF3+Z+i7tC7sKwmGEoqi9qCvZ93vd4IvwJQU62UpAknSaIfPtCkk5z/XESIfUuQUFBHs1d8mXSISEMix4mJJqoiqhmcOyvqoGUtBQsTl6MTqc6YU32Gnsfrf4/U34Gj4Q+gv5R/VFQV9DkP7oiGqNiR+Hp6KdBslOdJB0VCR8/S9IxvgJ9mXSya7PR5XQXjIkfIyQap+hUA6cST2FExAg8Fv4Y/Iv9nXpVH9Q21IKEcqDkAH4u/BkzU2ZiSPQQbMjbgKqG5kmXlILeSnoLN5+6GQlVCWpwOXrVhISPX0jSMb4CfZl0TpSewLVB1+KdlHdcAlNRVYHFEYtx9YmrMSd1DvLqWl/MSn3Np5mfCinqpuCb8M+gf2JK0hQU17dcy8aEP874GFcGXomDJQeb8iElnSYofPtCko7x9eerpMM5OXuK9+BfQf/CB2kfOAXG2mjF1rytuD3wdvSP6I+oyii3RuWonwksCxS6nLmpc3F/6P3oeqYrNhdsBqUgW7c6ezX+EfgPbC3cCnVkTJKOLUI+fC1Jx/jK81XS4cvNbtJVQVdhQdoCp8D8Wvgr7g25F91Pd0dgSSCcTiC0i4HTBThKxe4TpZt9xfvQM7wnuod3B7t1to4jXCSd7YXbm25L0mmCwrcvJOkYX3++SjpEIsQSguuDr8e0pGkOgdlRuEOMLD108iFsO7sN8GBbpJrGGrx29jXRzYqvjG+R3qL0Rbgy6EocL2024yNJpwVEvvtHko7xdefLpJNfl497ztyDF+NfBCcEqo5dqj1Fe9AjvAeeiXkGR3KOoCKzAnCwh1dJfQmOlR4TSmArrCC5ULJhHLYutCIUj4U9httDbkdaTVrTozJrmdD18L7tXB1JOk0Q+faFJB3j68+XSYfE8FLcS2JyYHB5cBM4SVVJeDD0Qfid9BND3J+kfIJZkbOwMHUhPs76WCyNUD2fsZxB74je+Dzrc6GrIQn9mPcjZqXMEnNvOFr1ZdaXYkj81lO3Yn7a/BYjZZS2RsaMFJMRS6zNe0tL0lER9vGzJB3jK9CXSYd6nU0Fm/BUxFNYlrmsCZyQ8hD0i+qHTtGd0PlUZ/z75L9xTcA1oit2Q+gN2JS3SfgVSubCrbgi8AoxAkV9DycTkoBuO3Ubrj95PW47fZsIT4lqScaSFnN0GMnqnNV4PPxx/JD3Q9NMZd6XpNNUHb59IUnH+PrzZdIhGuwKcV3Uc3HPobJBsdlVba1GZm0mkmuSkV2XjdDCUBxOPIyIkggkViWirL5MAMmwn2R9IpY4BJQFiHskMsbD5RUBpQHYX7IfJ8tOIqM6Q3S9bGuAI1xcLkHSY1fP1knSsUXDh68l6Rhfeb5OOkRkQ+4GvJH4Bo6WHm0asrZFylplRW56LmBnNZmjUAy7KX8TuPTBkVOHwB09O1F2Am8nvd1iCYbqT5KOioSPnyXpGF+BHYF0KLHEVMYgvcbxnsSVFZVIT0tHTXVL1uHMYhIPh8VdkYsz1LmVBmct267FUv1K0lGR8PGzJB3jK7AjkE5rqMg9kltDSP9zuXOgfuwchvS1nQMdFqKVm+6SDrfM4IZeZ8+e9cg6htFbW7RSPPHYWmlVdg70YJ6OO+nY+pGSji0aPnwtJR3jK88d0uGGYTTFs3nzZmHCmOfExERdmWkL0skqy0JAYgBSylPgaotRXQVyEkiSjhNgfO02SYf2ncxytAhptrE9i8UibDSZZY1StQZBm+fOHEmH9tC58TsPWongHj66XCNQXFiM4qJiNNa73sFPV/x2gVJqUjA3ZS56nOqBl2JeEvvsuLsUwi4qTX/ZTtleO7qT3SuDa/h86F7NmjWrhQkaRxByHRK3RqV5GpIit0Wl6WHio9U1NjQ22b2qq9UeXkt62TXZYnTpkuBL8Lvjv8NFxy/CfaH34XDJYS3R6PIrJR1dsLUeiBtJkc1pyZBnbx+RkZGIi4sTewJ7Oy3uO0yrkDTDy64E/5uRJnUmTJNpG5UedTEsw8cff4yePXuiX79+6N+/vziu//f1gnQu/9vleKrfU+g3oJ849+zdEy9Newkbj23EprRNYjnBwK0DMfrN0ejeqzs6v9MZI6JHYE3iGpxOPY1ZsbPweOTjWBC3AGdSz2BF/AoMixyGcTHjEJAagJ1JO8XM32Hhw7AhYgN2Ru/ElKgp6B3ZG0vjlyIqLQrvx70v/MyOm41jqcfwQ+IPYmX4kMghOJp6FP7J/hgdPRojI0di7dm1CEkLwfTY6SLdJfFLEJISgmXxy0S6E6MnYk7MHHQ92RV+wX7wO+YHvxN+8Avww+yo2cjKyBKHURjbxsO2wnbK9mp731vX6vtHKx5mScgqO5gu6fDrRzGSrO7NQ00jNjZWvDy0EOnN9Bg308jJyUFUVJSwg63mwZvpMk2SDW1UZWdnG4Yt4+WL8Pnnn4s9lWmKhsb1aOvquuuvE6Rz8WUX46HeD6HvgL54oNcDuPGxG/HMzGfgf8YfO7N34tmYZzF091DMXTEXo8eOxi3TbkG/gH74Mf1HxOXEYe7ZuXgi8gksTlyMhNwErEtZh2FRwzApfhLOZJ/BgYwDGBw1GMMjhmNL7BYcTjiMt2PexoCoAViZvBJnc87io8SP0DeiL+afnY+InAhsS9+GQZGDRNrB2cEIyArA2JixeDb6WUGEsTmxmJUwS6S7InEF4nPisSp5lSCd6fHT8X78++gS1AV+QX7wO+IHv+N+goBmx85GQX6BOLxRn8SbJM/2yvjNaDtMg0IAu8JmOtNJx8zCMS1+sVmhZjkqPWlXnORqlmNaaWlp51htMCJ9jkAxbpaJX11+IWmznMb2Hur+ECKTI5GWkYaws2E4GHsQyYXKBubEIak0CWVQZvJ+8803GPniSATHNa934oJLLoRUZwVTYUsTLbbrkbjncEZVBvIK81BaUoqcyhxhvqWuQelmcYYv575w3ozqGIftbN+C2oIWW0twwSXTpdkYuvrGemTVZKGioUJYfuBG7BcFXqQQzwk/sdOgOvtYTcMbZ7ZTo833eCOfnsbZ4UmHLwq/HGY56iz4gvILYpZjWiQGPfoSPXmcPXt2qzqd6upqIfGFhYWJLsOcOXOErXSav9HsGoHCgkIUFRahvtbBsm/NEboOwAWdo2NGo3NgZ/QI64GfC34+ZzmD6xj0PWU7ZXvt6E6SjsE1LBXJCqBVVVXYv3+/GLEaN24cPvnkEzGapQduMxXJzB9nGseXxuOb+G8QURohJCE9+dYaRpKOVsTaqf+2kHTMHjKnpEO9jlmSjjvzdNi9olRDqY+mb9h10GuIry3m6ZwsOYkBIQOwMWdji5Xg3mzmknS8ia6JcUvSMR5sd0jHyFTbgnT2Fu7FbUG34bPMz2BpaNYXGVku+7gk6dgj4qP/JekYX3HnA+mklqdiQ9wGxJbFyu6VwU1I6nQMBvR80OmcD6STb8nHiaQTyKvI07WaXE+zkpKOHtTaYRgp6RhfKecD6ZwoPoHhocOxKWdTC0N5xqPZHKMknWYsfPpKko7x1Xc+kM7B4oN44NQD+DLzyxYbuBuPZnOMknSasfDpK0k6xlff+UA6UaVRmBc9D4HFgVKnY3ATkjodgwGVOh2DAQXETGsOuRcWFqK2tqWlTONTU2IssBTgZPJJlFbpmMyoM1NS0tEJXHsLJiUd42vkfJF03ot8D0cKj6C20Ryik6RjfFttkxgl6RgP+/lAOruKduHqE1fjw9QPUVpvjrQjScf4ttomMUrSMR7284F0OCN5VOgo/Jz7sxy9MrgJSZ2OwYBKnY7BgLaVTqe8AMEpwSipbrbAaXzJWsYoJZ2WePjsPynpGF9154Okk1CWgC9iv0BkWSTM2KqUtSRJx/i22iYxStIxHvbzgXS4Peljpx/Dmqw1Yp8d41E8N0ZJOudi4pN3JOkYX23nA+kcKz6Gp0KewrfZ3zZtMmY8ki1jlKTTEg+f/SdJx/iqOx9IJ6MsA78k/gIu/NRjyVMP6pJ09KDWDsNI0jG+Us4H0sm15OJg0kFkWbKkTsfgJiRHrwwGVI5eGQxoG41eHSk5gkdPPYqvMr9ChbXC+EI5iFFKOg5A8cVbUtIxvtbOB0lnX9E+3HHyDizPWI6yemVzeeORbBmjJJ2WePjsP0k6xlfd+UA6SWVJWBO3BpGlkXLBp8FNSHavDAZUdq8UQLkfclFREQICArB9+3YkJCToRrottivNs+ThaNJRFFUW6c631oBS0tGKWDv1LyUd4yvGHbPCtMV17NgxrFq1SlgJ/eijj4R1CD25aQvSOVNyBq+Hv449+XtMMT9DXCTp6Gkd7TAMrVSaaWyP1hJpAaGiwhzlIyFnWjSCZ5alxvfee69Vu1c0VRsaGipsX7EOJk2aJGyZ620i3NaCkpNZJnAPlh7EXcF3iY3ZzVplznZKrDq6M717xReDXRDui8Kztw+aZqHVRDPSYxr8wtO2OF8Qs9JkWklJSYJ8jEyT1j1ZloMHD+LAgQM4fPiwOJ599llBOg888AAOHTqEo0ePiuf79u0TJGOxWETZaXCPJEEbWDTQ9+qrr4L3tNQ5y8N80Fxzbm6uKKOW8Hr8Ms3ggmBMODNBmEe21Fg05VlvmmynqikhPXFoCaO2E76Pek0D6SVH00mnrKxMSAK0DeXNg9IG4w8PDxd2vlmZ3kyPcTMN2qPmF562nsxKMy4uTqRJ4lHL7WlZmXfGO3nyZFx55ZXiuOqqq8Dj4osvFqRz4YUXiv+8p/oZNmwY/P39heRF2+r8cm/evBnjx4/H4sWLhSVSLbio5aF9eNprJwmq9zwto7PwtJYaGReJQyGHEJkQieQU77ZVte2wfGyv/O/tMqppUII0S3pUScp00iEb0zictw9+bZkGSYCNSP3vzXSZRklJiXhZ+VU2K02mRZIrLi42DFfmncbyqAj++uuvsW7dOnz77bdYv349+vbtK0jnjjvuAG2U8z6fr127VhAOv9js8lHqO3LkiOhaffnll0Li5H2tuDAf7D5SP0epTmt4rXXO+IOzgzE7dDb80/1RVFZkGK7O8sI02U7ZXunH22VU80HJkzozM53ppGNm4ZgWXwAzdTqsQH6l+MKZ5ZgWG6xZOp25c+cK0hk8eLDLIvLLPX36dCxYsEBIKZ6I8SRUErpZZTxcehi3Bd+GFZkrTJuRzHbK9trRXYcnHTl6ZXwTVkevBgwY4DRyfqkpFT399NNYuHAhfvrpJ6H/oX5Gq2uL0auTxSfxQugL2Jq7FdWN1VqzrMu/HL3SBVv7CyRJx/g6cWdyIJXHwcHBQp/D7tfq1auFQtpXSCe7LBv+if7IqcgxHkAnMUrScQKMr92WpGN8jblDOkyV3SlKKeqIpd6uUVtIOmnlafgx/kckliWiodEcnYckHePbquMYGxsd3zformGk46ayjYpyjgxQUWeWY1ocEWLaZjh3SceovLQF6RwpPoLHTz2Or7K+gqXBYlRRXMYjScclPAY85Eu8dy9w+jQNG3keocUCxMcDsbFAcXFTfJpIp7oaYDz19U3hxQWJMSAACAwEqqpaPrP7J0nHDhAD/rYF6fgX+uPO4DvxeebnsFgl6RhQjU1RtI0i2WoFQkOBZ58FNm6kHN6UIc0XJSXAjBlAz57K0aMH0KcPsGgRwGHW3Fzk5ec7jzYqCpg9G3jhBWDoUODddwHes3fbtgFTpgA7dtg/afFfkk4LOAz50xakk16ejk0Jm8C9kq2wGlKO1iKRkk5rCHnyvKgImD4dePppRYLwJC4SytixQP/+wIQJwGuvASSem24C5sxB+unTyCtzsTXBrl3Ao48Cd94J/OUvwG23ATt3npujxEQlvyQnF9KOJJ1zofP0TluQjrrgM8eSI3cO9LQC7cK3jaQTHKy85MuXA57qPqjHIPHYdtG4fuWZZ4Bbb0X6unXIc6XrYJeMxHP8uCLtPPGE8t8OKPH3nXcUgmJXy4l0JknHEXCe3WsL0gkoDsDTIU9jY+5GVDW67lJ7Vrrm0FLSacbC2Cvaol69Gvj3v4EDB4yNW40tLw946y1BbGmrV7smHZU8SksVKckV6bCLxa7bnDmAE5vaknTUSjDu3Bakc7D4IB489SBWZq2UimTjqlLEZL6kk5YGvPEG0L07EBFhXHGoBC4oAJKTga++Ah5+GJg4EelHjiDfnRXflLjYNXNFOtHRwJAhSlfOSZySdIyrUjWmtiCd6LJofBD9AWjps77RbmBBzZjBZynpGAxoU3RUIA8bBjz3HEA9ib1jN4mKZlcH/agSihp+82ZFkdy5M3DllUC/fsCZM0KRnE8yas1RIf3qq65Jp7AQGDVK6Ro6UU5L0mkNaO3P24J0CiwFCE4ORmmVOXbMiYokHe1tw70QJ04AvXopL3h6enMYksixYwohsQvTt6/jg8+WLQNIErYuJASgjogjUcOHK8rkJUuQERKCfFeKZDUOd0iHU/hJTFRSOyJMQMyVkfN0VFCNObcF6USURGBGxAwcLDiImgbtSzf0lFySjh7U3AnDuS7OSIfK3JEjle4L1/U4OjhKRXKxJx3btNnFYlfpmmuQuXw58t1Z7+Mu6Ywfr5BOUpJtik3XUtJpgsKwi7YgnZ2FO/GvE//CotRFKK03R9qRpGNYk7GLKDwcGDFCmaPjSFqgxKN2n3htf6jP7KI95++vvwJ//Ssy3n4bBU6Uvi3CcFX4xInAk08C+/a1eNT0h920558H7rpL0R81PWi+kKTTjIVRV21BOqdLTmNc+DjsyNuB6ga54NOoumQ85iuSOZzNkaVHHgFIQJ44EhAVupz3wzP1QBwez84G5s8H/vEPZCxahHzep2M3KzW15TA9n3HeDfP10kuKAnrLFoAkZC8hRUYqimTOL5KKZLhaZe5JtdqHbQvSKawoxKmUUyiptuvG22fOwP9S0jEQzBZRcYnB118D110H+Pu3eKT5D8ni0CHggw+AVasUCYUSzsyZwC23AL17I2PHDuSryxrWrQO6dAF++aU5KeqVSDKffqoQIfU1kyYBP/ygTFxUCYsh6I86pQUL5JC5n1+HJh3ORF4RuwKhpaFyRnLz22LIlfmSDrNNpe899wBLlrRYJ6W5RCQT6ojGjVMklAcfBLp1U0axKE0FBSEjJQV5HA4neXB+zaWXtpz8x7wwPKWXxx9XJv/17q10/1auVCQnNWPTpinPObmR3T4HTnavHIDi4a22kHQOFx/GI6ceweqs1XLtlYf1Zx+8bUiHSlsSAIe1Dx60z5O2/5zUR+L58Udl0uHatQqpZGSIeDLy8pDHRZzsVlEJzKF6WyUwJxJSh8OlD/v3K/nZvVuJg/OI2IWj40LSQYOUJRecE+TESdJxAowHt9uCdI4VH0PfkL74Lvs7VDaYswuk7F550EhaDUopgRPtXnwR2LSp+cVuNaB2D2KVOSWdlBRgxQqlO+aCNBymwPxu364sLG2lSyhJxyGCHt1sC9LJKs/C7sTdyLBkyLVXHtXeuYHbRtJhPvgic84OV3Sr0sS5+fP4jiAdjjpxBIsKZlW/oyVm5vXMGUXx3QphSdLRAqx7ftuCdLjQ0z/JH+mWdFgb5Spz92rKPV9tRzru5c9jX5r203GVGonHDSdJxw2QNHppC9JR116tzpQ6HY3V1ar3Dk866dnZyOOQuklOkk4z0NyelEbdaFfJE0sQbUE6B4oP4J7ge/BZxmcoq3exNUpzcT2+kjodjyFsHxFk5OQg39XsZYOzKUlHAZQbsAcFBWHZsmVYs2aN2MJVL9RtQTrJ5cn4Ju4bxJTHyAWfeivOSbiOK+lQ9/Ltt6gcMQI1XIvFuUEc6fKyq2tsRHJKCspNtHtVXluLlPR00/ZIVm2ZD+JonhNHW1w0Q0yrnq+99powwufEa6u324J0ci25OJJ8BAWVbiwWbrUE7nmQko57OLVfX5wkyAmCfn7Kcc01AIfTqZsh+diuEufoVm6uMpeHJaLSmUbPONSuOvq32XtZXDOM6kgyBQWoKylBSnIyLKp/28WmVGjbrnjnM8ahKtJJlEzXdrYzh/RtJTWudOc91dXWwpKQgPTYWDRwLhLLxzhZJtUxL7bpsvyMQ9VTqTOybYmSz8vKhNHArNRUZJ4+jWweKSnC1LCfnx969uwJmg6mnXEaiaMJYVrwVB2vaSZ3xowZ+JX14YGjZU8eei1KaE06tDwUr0a8il2Fu7QG1e2fJn6JYUd3pks67H7QnjkP1bSpkeeyqipY4uJQP2IEGn/3u2bS8fOD9YEHUHXsGKwffojGN95AVWAgKlJTUb9sGRrefBM127fDkpODGg7jjxmDuk8/hSUzE9WHD8M6Ywas8+ahKioKlfHxsM6ejYZJk1B95Agq0tNRu3YtGt98E5Vr1yL+9GkUf/+9WO5Rv3w5KhISUBUSgoZ330Xj1KmoPHUKFUlJqF+8WEn3119hyc5Gzfffo/HFF3HFrcwAACAASURBVFG3ciUsWVmoOXAADdOmwfrBB6iMjUVFdDQaZsxA45QpqAoIEHmv+/prVL38MnI/+wylmZmiDI0TJ6Lus89QmZyMquBgWKdNQ8Nbb6EyLAyVZ8+K8je8/Taq9+xBRU4O6tavF9MXWAb+r9m7Fw3Tp6NmyRJsW7EC4194ARO6dcMbDz+MSc8/j65duwoLn9dccw0mTpwozAZTmnnllVeEfStaOFXNCoeEhGDq1KnYsGGDIDA95nJp2ZNmhXmQeIxsL47iqrJUYXvGdtwScAsWxS9CZnEmLOWKmWpH/o26R4setNVuVHytxcN38LwwK0wgCC63f+DZ6CM5Lw8ZQUGo5Ar1Cy5oQTo1d9yB/G++QdXQobDecw/yvvsOmQEBqHruOdR1746S+fORGRiIkrlz0dCpEyrGjhVxFXzxBWp79ULNwIHI3bYNWfv3o7ZnT9Q/8AAK1qxB5sGDKJ8yRZBa6aRJiDh4EDkkpa5dUTFmDLL37EHejz+itndv1N93H3I3b0bW0aOoGj5cpFu8cKFIt3TWLDTedBMsEyYg8+RJFK9Ygdonn0TVoEHI2bkTOXv3ou6xx1D/8MMoWL9e5KN84kTU3H038idPRmpICErffx/Wrl1hGT8eOf7+ooy1PXrA2q0bcrdvR9aBA6gaMgS1TzyB4o8/RmZQEMrfflukWzZ1KjKY7scfo75nT5SMGIEPn3kGXe++Gw/fcAMevekmPHTXXbjyn/8UpHPJJZegW7du4njggQdw9913Y8KECcJ+Ob/YHDlkF+v1118XZJSfny/MH2upcxIYj5iYGHEkJSUZ3mbs85Ofno89cXswIXgCNsZuREJKAjJSMryeblRUlJAM7fPjjf/ElPGSxKnoN9OZLumwf05ph6MaPBt+WK2ii9PIJQxXXKEQD8nnb39D4zvvoL6gAI05OUBGBurLylBXVYWGnBw0ZmXBygqoqhLnxrQ0NObliefWkhLxnOHqLRbUV1Yq/zMyYC0rE/8b8vPRmJ6OmuxsJMbHo5Q7JKanizjqKypEWkyjkWEYR1WVyAfvNRQXK+my65SWBsbFfLVIt6ICVnZ/KH5nZop06yoqhF9LbCzSw8JQZbGggXGkp6MhLw/26TblXS1vcbFSfoZJTYX1P+kyPyJfOTkozskREkZmejp4ZKSnC8lG7V6p5EKCoSRCYqE+hw2ZVj4p6UyZMkVIOlQu66lvhmMXLjc3V8StJw4tYax1VuSX5CM0KRQF5QWorfNSW7Vr/+yqkgi05NVTv+yuejKyqIesTCcdPZnUFYb6l88/R3XfvkJaELORSTZedjR3l5KaCourzeANzkN5YyNSc3NhVXVDBsdvH928efOEpDN48GD7Ry3+x8bGYsWKFUL3w24YpRW9jl/kYpKzSV9lblc6O2o2jhUd05tlzeEKCgqkTkczau0tgMUCy4IFqPzwQ1NGrlh8fnnkzoHUxdciIiJCSDgfffQRPv/8c5zhrG4dri1Gr/yL/XFr0K34JP0TlFnlPB0d1eY0SMeVdP5T5NpXXkH95MktR4ScwuH5A0k6CoYkCiqTOSJDCYVn6vP0uLYgnVOlpzAmbAy2522Xm3jpqTQXYTo86VhHjICVu/3ZDhm7AMTTR5J0PEXw3PBtQTpc8Hkg6QDyKmymJ5ybNUPvyHk6hsLZdpGVfPstyrduNS0DknSARmsj6vJrUZNajcZa99asuaogd0inLr8O1anVsFYaszgzpSwF3yd8j4TyBDTgP9ubuMqkAc8k6RgAYnuIIuf0aRRyLxyTnCQdoCqhCklvJSLhtXhUpznfe8jdKiHpFBYXorC0EHWNVNWf63LW5yBmZDTyN3LS47nPtd4Rm3idfgSrMleh3KqvW6g1TUk6WhFrp/6rJ09GLe2m287q9WJeJekAeRtyEXL3aeT9mIeGKs+lhIbGBhSWFKKorAj1cDynpCqxCnEvxCJ6UCQaLJ6nub94P7oGd8XKzJVy50CD35cOr9MRG8D36AGYMFzOujnfSacurxbJM5MQ2S8c9YUtCaK+qA7Zq7IQMzwa0YMjkbksHTWZrduUakQjUrekIvzFcIQ/FYakNxNRHnSu9MG4wx4NRVlgGRrrPRN3MsszsS1hG7jwU+6nYyzrdHjSKVu6FBVffNFyHZWxGLaI7XwnneIDxUgYG4/MTzJa6HOspVbkrMlG2COhgnCih0ch7KEzSP8oHXUFjrtMBLaxrhFlQaUI6x+KU4+eQvSzUYjoEY740XGoiq0S+iO1AsqDyhD/cjwyFqejvqQl4al+3D3nlufiUNIhZFuy5c6B7oLmpr8OTzpcpFgYF+cmHJ57O99JJ+uzLEQPi1IkEZteTsmBEkQ9HYnEN87CWlqPhrpGpM5JQWS/CBRsdb6Sm5JQ4tSzONP7NNJ3pgulbtHuIkT2jUDqvFTUFTcTVl1hnSCx2GdiUJPeugTlqrYDSgIwIGQAfsj5AZVWuUeyK6y0PuvwpGP5+GNU2Vt10IqSBv/nO+kkz2DXKgL1BS0ljbSFaeK+5Uxzt6jqbBXinotB0hQHNu3/g7nldDlCHzuD+E9iUZBdIMzBNFRakbE0HZG9w1GdVNWidnLX5yL0gRBUxXtGFIeKD+GhUw9hVdYqWBpsdhtokZqxf6Qi2Vg82yy2hoED0Th0qLLdgwm5ON9JJ2FCPCJ6hp2jUzn7egIieoWjoaJ5SLuxAYryd2iU05opOVyCk52CkLQlESVVJahtqBV+qaQ+fVswKqNbkkv+5jwEdzqJyujmLTacRu7iQWxpLD6K/gghpSHS7pULnPQ86vCSTs1rr6GONrBs98bRg5SbYc570nk1HhFPhqGxoaUil7qWiCfPtegaNzoWkX0inKJbvL8YJ/4VgJTdKSipKxGLL+m5cHsBgq8PQkVES3LJ35KHkzd6TjoFlgJh4bO0yvsbv6mFl5KOioSPn3NOnUIhLU6Y5M530uHIEkmkrrRl9yp+HCWgcKBZ0BE1IkinvwvSOVCMwGtPIHlHEkpqS1Bbr0g6BVvzEXxjECoiW5JO3ve5CLnrNCpjW0pAWqs/rCQMUyKmYG/+XlRbPZ9r5E76knTcQckH/BRt3oxS7lpn0qrv85100henI3pwlCKB2Ag7ydOTBBnV5iikwaZTX14vulckHmeu9HgpTt0ZjMQNZ8U8nTooiuOcr3MQev9pVMU1k4vVYkXmikxEDYhEdYpniuSdhTtxVeBVWJS2CKX15kg7knSctQJfu//kkwA39JJrrwyruXfffVdsbTGAuNq5oh1FiBsVg5y12S30OlTwcsSJ91VXsCVfTObLWKZYY1XvlxwqgSVMUd5WxlWAw+uRr0YgJzxHDF9Xn61Cwvh4JLwch9rsZhKriLDg7OSzSHk32eUwvJqOq/OZkjOYFDEJu/N3ywWfroDS8azD63TqX3gB1rFjJenoaBzOgrgineqUaiRNPYu452NQb9PFqkyoFMPlVCYXbMxDwS8FiB4Uhfgx8S30Mg01DWL0icso6CgN5azLRsjDpxE7IxYFBwqQND0J4U+GoXB7IazVzf21/B/zEPFUGIp3FYHxeOJUnQ6V12Y5KemYhbSX0ynauRNlhw83b37u5fTO9+4VFcjZX2Qi5O5TKD1W2jR5j/ctZyyiO3Wq00kE3xCE6KFR4OiUup6SC0XLAkoR2SccWV80b1DOuThxs+Jw8s4gBF19AmEPh4rnjdXN/bf6snokTjmLiB5h4OJPT11cWRyWxi4FJR45I9lTNFuG7/CSTuH+/Sg7ebJlqb34j6TDLSf17h2jJ2vc7JxbhTJtM5wrSYfpW0LKxeLLhHFxqE63UcI2ADUp1aCepvRoKThPhzOOVVdXVIeECQlIeSepxfwbLoPIP5uHrIOZKPDPhyXUIiYYquF4pgI5onc4MpemN5GY7XOt14dLDuORkEewOts8C5/cOZBWNTq66/Ckw43SK99+29QFn3FxcaAFA7NcaWkp4uPjwb2EzXCtkU5DdYPQyXC427aL1VreuDiU+hwxsU81jwPA2mBFbkkuCqoLnG4zURlZgZIDxbBVVLeWnqvnAYUBeDroaWzM2YiqxpYTEF2F8+QZ95vmrpNGO+6BfPr0aWH80KwPk6sydHjSWdW9O7558EFhlsYVEEY9owmRyZMnIyAgwKgoXcbDTdC3bt2KOXPmiN35XHo26GFrpGNQMk3RUJJbv349Vq5cCVqDMMOdiDiBYdOH4eeDP6O61kZa82LiNNMza9Yswz9Y3ND+ueeeAy12vPXWW9i7d6+pkrg9ZB2edJ7s1Qu9HnsMmSatvzp48CD+/ve/42taFDXBUflIsy933nmnMO9iQpIwm3S41emLL76Ifv36CfM2ZpSRL+YNN9+AeYvnoai0yIwkhQ2xm2++Wdi+MjJBdtlefvll0GQQrXjceOONeOedd8C2yvZjtuvwpNO7Tx/07dNHmE8xA1xW5D//+U9TSWfSpEm45557hJ0pM8pIqYqNtzVrEEblhZYg+NLQjPHRo0eNitZlPDv37cSfO/8Zo+aPQnpRuku/Rj2khHzrrbcaTjrMX1pamrAr/+ijj+J///d/Rf1dddVVmDZtmpDKKQ2ZZYqmw5NOv169MKhbN+SbtHsgXwpW5rfffmtUW3QZDzc9p12p+++/X9iFcunZgIeN9cDiKYtxi19nTOw9EdTfeNtRKT9+/HhBcidOnPB2ciJ+/8P+uOS2SzB60WjklHvfdBETZT3efvvtwrigNwpJUqFdsu+//x69evXCpZdeij//+c+49tprMW7cOBw6dAjsynKnRm+6Dk86/Xv2xKDbb0decLA3cWyK+8iRI6aSDqUAlXRokM6rrhHI/yEf+2/xx1a/zdhx2XakzUsFqppHoLyRPs3f8qWgZGWWrmz/of24ocsNmLdsHkot5sxI9jbpqHVDA3uUfDZu3IghQ4bgT3/6Ey666CLccMMNGDt2LHbt2iXMDav+jT57hXRYoLVr12LGjBlCfOPZ7GPmzJkizeuvvRb//vvfMXH0aKj3vJEXxs1j5MiRuPjii9GnTx+h+3A3LTW8ljzSL7tWd911F/7xj38I3Q71Le6mqcUf0/pw8oeCcEIvCEGYn3Ls//s+rBq7CrOmz/IKvtQ9vPHGG+jSpYvQRTz77LNCH6El71r9EsMRI0eIbsgTjz8hbLEzH1rj0eKfadIs8+WXXy4IVktYLX5Zj+wef/DBB5g+fTqefvppdOrUSbRZdpn/+7//W3TxBg4ciN27dxvNNyI+r5DO/v37hZjIQsjDfQwuuOD/g5/ff7VbzDr7dRYSTpjfGRzyO4BgvyD86rcDQ/wG4w9+f2i3+ZZt0Hkb/P3vf4+//vWv+Mtf/oL/+q+WbW/q1Km+QzphYWF48803QbZs64NKM44m9ezZ05S8PPjgg7jwwgtxxx13gGuT3C1/jx4D8Ze/jMf//d8rbodh3E899RSuu+460WhYRi1pups31d/rfV7HL5dtR6hfiCAcks+uP/yKBU/Mw7CBwzTlW43TnXPv3r1x9dVX44orrkC3bt28lo6aF2LIeqS+g4pdSq3qM2+dmSZ1K5SSn3jiCa+mR+mGEvkzzzyDhx9+WJCOLTFT2qLC+ccff/Qd0vFKTnVG2rdvX/EimjU0qFenk5kJPPAA8Nxz2gpqqk6nDkibn4b9f/fHTr8d2PenvUgYEw9rfvP6J225d893W+h0qFRld+fTTz8F50KZ4czS6bAsxJRmnufPny90OSQdfqA5l4f3vDFJUcXQK90rNfL2cObcDn6dOMXcDHfs2DGhSOZELy2uuBh49llg2jQtoTjRukToHDh6ZQaxNtY0YvXLqzHEbwgWPDEf9Xkt983Rlnv3fHNE5dVXX8XQoUMRGBjoXiAPffHjQdKhDfbqanMmB7I7w9Er6kS95err6xEZGSkmIXK+DqU5dq0o8axatUpMu/D2zPYOTzoUzUk8Zq1p0TtPp74e4GTbdI1TQkg0VCbfe++95s3TmT0HF/pdiKGDhnrr3WgRb1vM06FekhMuP/nkEyEVtMiQl/54c54OR6xOnjwp2gpHqf74xz/iggsuEN3VNWvWiJneVVXmLPfo8KTTo0cPoc/huhYzHBsrR5LWrVunKTmu1Tx+HNA6ss9JXZQCqEPiok8zHKfqUxynBGmGI+mMHj1a6FYOc8cAE5y/vz9uueUWLFmyBFzbZoabOHEiOCM5ISHB0OSI33vvvSdGAH/729/iN7/5jfgQc4Q5NDQUJCQSDq/5nnCeDuf0UDfLYXVK7/RjlOvwpMNhwffff19MejIKNFfxREVFYdiwYdi3b58rb+c84+LiwYOByZPPeeTyRkVFBfilIvFw4pcZzuxlEJwcSImDugbia4bjAknODfr1119NW0hL/dErr7xiuCqAHyYOOLAr1b9/f9FltMWRXfQtW7aItDk9Qe2ms+xUOvMjY2SXq8OTDmewkrHNctQ/8CuptTtHQYyCw6RJ2nOakpIi1iSZpfA0m3S4Mjo2NhYxMTGmLVTkei/qj3g2y1HCYRfIaEedFEll9erVSEw819wP2yrbLAnnmmuuwc6dO4XynCRI9QRHsYxcnd7hSYeAqg2HX0yyuDfFZVYO99NRCYBfCPXaVWNi92rPHkBP74HSDrtWVBKqzpvraMwmHZaJXQQeRjZ+FStHZ7YVkoCRX3hH6aj32EZIqtwWxZt1p6bn6EwFM0d7KTV/9dVXQv+zfPlyR149undekA5JhmxPNufq759++kkMCdq+pB6haBOYLwVHHyjxkAy4FosrlqOjo12OgnC5C6UdPSsZmBZJhy8IXxZ+Ldl4vVE+FtVM0qEugcs7OIR96tQpUyQd6jc4esURSGLJevQmEbDNcPh62bJl+OKLL4Rk7q26s2mq51yyHVG64QgaZ7l/8803XiHdDk86GRkZYvSB+g4qxXgsXLhQ6HnYiI12qqTD9H755RehwFuwYIHQD5B8nA2/Uh0zfjwwZ472HLGxUAFISeCzzz5rmmvB+95wZpJOdna2mLZPpTWVodyvyNuOympObuWSAa5F+uGHH8CFtd5ynDNDkmP3hzrI1157TSh1vb3w0lF52LXiJMzhw4d7bWCiw5MOv5J8Gfmys6tFqYcSD5WE7Oca7dhQ2L1iI+ULEhISIr6WXOtCsuMzRy4lBbj1VkWv4+i5q3sUzSnp8AvN9Lg+6e233/bai2Im6ZA4OQ2B+gaWyQz9HLHkiA3bCbsXs2fPFlKWqzrw5Fltba1QAfDDwc3KxowZI9Y9OftAeZKWq7CcEMi0uRZr1KhRYj6PK/96n3UY0iGZ8CUPDw8XYFE7HxERIZSBbER0/KJwpId7syxatMijrybFbYrdnHRIqYYHiYZfZnuFJ5+x4fJL5mySYlkZsHYt4IoHKUVRP6Wmp6bJ8tnuqEcRnSM93vo6m0k6rDdiza1CKDGaQTrqy0QF/UcffSS6Pd6WsPjh4GgRX3Zu48HusZHD1GqZnJ3ZZrlwlBIe3w3O+2J3zxuuw5AOWfrnn38Wsyo5/4C6GxLMd99916SxpxKZLyN3oWMD5oiIXqf2wzdv3izSoAhOyYl7lfALqb7wTJPbbPJL3Vp61Oe40umQsNhlYxpMT02T5aYSUHUff/wx5s2b15QH9b5RZ7NJh9IOCZtlMot0+EFhvXEIm9tpeLurw2FrtllOt+DMZOp4zJJ0OD2AH2Kux+LHix8zDrGTeKiOIPka6ToM6XAuAoc4qTfhHJkDBw6Il3/Pnj0CNH4tVWUgCYFflBUrVujGkqRDJSOVjSQ3Tgak4o0Nh/uRUPJiOnzObREodbly5eUABwq++ca5LxIYSY4jCyRWNU02DEp4qmOXgN05d0bN1DBazmaTDrsfLCvLRIW8tx1JjroN6lbYnrwpcbBNqkpjlpNTPD788EOhm2N9e9sxfS5/eP7557Fjx46m5NimuICY99nVVN+dJg8eXHQY0lErjxVoe1CHQgmBXSu+mNTrcCSEIuymTZs8gA4iHY4Y8YukHmywlLqoX+EoGb8g27ZtE18Pfj2dNWCqerp3B8aMcZ4lfm3t02O67HLxa8S4OXo1d+5cISrznjeGfM0kHZaJejmK+hT/+QJ4o0y2qFORzBnQfPn55SemKjHY+jPimnVKcmEXmYRKyZy6K0rNbLPedsSXH0fqPW3bJsvLDzmx5wfWSNdhSMcZKNSxsPJIBBz94PoW6lfYBfJWpXLEjCIquwScXEXiYUNit0idM2Sf36IiZWLg/Pn2T1r/T4IjmVKyoRTEHfY4k5SbNXGEzrYxtR5b6z7MJB3iRR0VRX9u/8A9fYOCglrPpAc+aF3jySefFLvqcV0b03c2AOBBMk1BqUCmlMyRMs6RoXRMEvB2l44ZMFKCaSpQKxcdnnRIAGy4/Fqx78p5M1xjwhfVG45fBUoYbDScr0N9AIdDeVCn46yfznk62dmAHomaZeOXkhIAFeiUBo4fP47g4GDxtTK6YZlJOqwnSqjcxY7dVuLJr683HQmcI2bsyvLjxPS99YFiOVhGKo4pEbOMzgYbvFlmM+M+L0iHYqJZjqRDqYrdLC2OHPjrr8ChQ1pCKX5JOvwSe6sLYJ8jM0lHTZuESp2HmU4dDDArTUqq/Fh1dHdekI4ZCjm1oaikQyLQ4jIygHvvBYYP1xJK8auSjtF9b2c5MZt02M3g158Sq1nEQ/0bJVVnkqkzbDy5z3ZKybyjO0k6BtewXtJh14qbeE2frj1DknS0Y9ZaCEk6rSGk/7kkHf3YOQypl3S4XQlXZYSGOozW5U1JOi7h0fVQko4u2NwKJEnHLZjc96SXdBobFcKxmePndqKSdNyGym2PknTchkqzR0k6miFzHUAv6XBAhnN03nvPdfyOnkrScYSKZ/ck6XiGn6vQknRcoaPjmV7S4V7c990HjBypPVFJOtoxay2EJJ3WENL/XJKOfuwchtRLOrRywgnSeowq+irpcP4LZ+ByoSNHbZzNJ5KjVw6bms/e7PCkw9menB1sluNcGU4O1DpPh/ljNvVM02BaHN41a54Ol1lwY3bOfPbEcfEqZxkPGjRIEI+zuEhGHC7nHBaSuhmOc2Y44dKsIXqWie2U7bWjO9NJhw2IXy5vH5z6zzT4MnIGK6/Ve95Mm5PYuF6HCz7dS4f5tKKgoAFvvgksWsSFqco998I3iLTUdVZGlpFxsZuhvvB86XlwFTRJh0s81Hs8qzO/SQzOpBb1hWLZOAeGC3NJYlxrxP/2ZWYeGB/nsPClpB8jy2ifnvpflR5JPt5OT42f7ZTtlXlQ76n58da5tXpS68vIs+mkwynf6kQvnr118AVg3Jxezs2o+VJ4Ky01XqbB2c9cisDugjtpFhUVoKgoH2fOFOH+++swYkQNKiq4N0++W/llGkyL+6EwbbXcap70nhkP4+M+Nlz8yHVBXEPGo0uXLoJ0rrrqKvGf2z/wOVfu02oDFy6qZSdZMB71TOJgnhg/X2guriTpcPMqvnTc4sE2z/THMJzlzYN+jCqjbTq218w7JQ62Ha7dY3pmpMl2yjRVfGzz5I1rlokfFRKamc500mFDUwFUK9ObZ1YiJQ82JG+mw7iZhi3pcBp962mSdAqQnFyIOXMqsGxZOSyWfHGv9bBKmuoKZb7Y7oRxx49ali+//FLYm6LpEnaDeNAyJCUd2ojnfy4u5XPuwcI9b4g5v9gkLG4KNWHCBLHQlltFcJsPri8iefADxLVNXIhLv7xHCdE2f8yHI9Kx9WP0NeuNRM61cirJGZ2GfXwsJ9spsbN/5o3/6jvIrjmlKjOd6aRDVmU/2dsHRXKmwTVJXMCn/vdmukyDXw7uMsdG5G6adXW1qK+vQXJyHZKSeF0L3nMnr0xDbbBM250w7vhhvOzKsCyURrhglYtleXCPFZJOt27dxH8uMOVzbhlCKY/54AJJ7g3DjcYoxXDlNFdScxEl/ZBw6LhZ1dKlS4VOh42fh33+mA++/DyMLKN9Orb/STwkAb6U7tajbXit10yD7ZTtlWHNSJPpUA9odhfLdNIxk1GZVlsokvUs+KypATZu1Dd6xRfDzAWfRimSqYei9QHu6UyDbtzf2dFXly8Fv/YqkZvRhiiRU1rz9t49tmWhRCcVybaI+Og1xWR2O8xy/EKRdKiI1OK4iddddwFDdZgHV5WeTNsMZ9SCT0pH7G5RZ8R9jigVkUDtHaVjdgdIPPw6m+EoUZF0KGWZ5dhO2V47uuvwko6vkA5333juOWDaNO1NzldJh6I9X2r1IKE4EvUl6WhvE+05hCQdg2tHr6RDXR5nJdOmuVbnq6Tjbjkl6biLlG/4k6RjcD3pJR32jLiB14kT2jMkSUc7Zq2FkN2r1hDS/1ySjn7sHIbUSzqUcJ5+Gpg82WG0Lm9K0nEJj66HknR0weZWIEk6bsHkvidJOu5j5a5P2b1yFynf8CdJx+B60ks67F7t3w8cP649Q1LS0Y5ZayGkpNMaQvqfS9LRj53DkHpJh4pkWj+WiuRzYZWSzrmY+PIdSToG155e0uGQ+ejRwMyZ2jMkJR3tmLUWQko6rSGk/7kkHf3YOQypl3RoLrpLF0DPbhGSdBxWhUc3Jel4BJ/LwJJ0XMKj/aFe0uEE5m+/BX75RXuaknS0Y9ZaCEk6rSGk/7kkHf3YOQypl3QYGfdv0rOHkyQdh1Xh0U1JOh7B5zKwJB2X8Gh/qJd0ysqAJUuAr77SnqYkHe2YtRZCkk5rCOl/LklHP3YOQ+olHS74fPRR4KWXHEbr8qYkHZfw6HooSUcXbG4FkqTjFkzue9JLOtwbWdmu1P20VJ+SdFQkjDtL0jEOS/uYJOnYI+Lhf72kwx0juQNHQYH2DEjS0Y5ZayEk6bSGkP7nknT0Y+cwpF7SoQmaLVuAvXsdRuvypiQdl/DoeihJRxdsbgWSpOMWTO570ks6nI18zz3A8OHup6X6lKSjImHcWZKOcVjaxyRJxx4RD//rIsrPGwAAFmVJREFUJR2aFX7xRWDWLO0ZkKSjHbPWQkjSaQ0h/c8l6ejHzmFIvaRDnc6ZM0BEhMNoXd6UpOMSHl0PJenogs2tQJJ03ILJfU+ekE5wMBAa6n5aqk9JOioSxp0l6RiHpX1MknTsEfHwv17Syc4Gnn/+/FvwSQsItGShmqRxBL9cZe4IFd+9J0nH4LrTSzpUJN9/PzBypPYM+aqk89NPP2H+/PlYsGABPvzwQ4SGhjq0xy5JR3ubaM8hOjzpmG33inab+OWmeK7V7d4NHD2qNRREWrTy6chmlPbYWg/xwQcfCGN7Q/XYy7GJft++ffj++++xdetWYfdq0aJFTnGjzSsawKMFCTMcJS9iyo+IWU7avfIC0jQvwkrkC2nWQSuNbDw0nmZGmrTFHR8fL2xtuZMm7TxVVlagvLwC6el1yMysRVWVcs/d/NJeUkJCgjDJ626Y1vwx77TSGRERgd27d2Pv3r1Nx8iRIwXp3H///U33+Jz+goODRdnV+CmFsYz2B5+rLzRNCX/99dfC/DDN6vKFV8PzzDj48eBBfG2feeuaBKBaamUazL+30mK8xJvtlO3Vm+nYx+3M7I8XXv+mKE2VdEg6bEA0YkaAefbWQXtXjJsvTUxMjEjPjDRptZLdBDZYNQ+uypienoaMjDSEh2fgxRfL8PbbJcjLS0NmpnvYsEwknLCwMDBtd9J0lR/1GeNhGWbPno2bbroJnTt3xm233SaOyy67TJDOxRdf3HSPz2njfOzYsTh+/LiQ9k6dOiXMBW/btg3bt28Hz7/++qswN0yDhCRL2n6ntDN+/HhhdpiEnZ2d3dQu1DqjXXEeDKfeU/Nq9JnxJyYmIjIyUqRnFKbO8sn0eLCdsr3SnxlpMh0zraaqrGMq6TBR9s9V42rePNMcLOPni6jaMvdmeoybXw1+Efmy0hqlvTE5R+nX1jJcNeLja/DQQ1aMGlUn7JrX1TUboXMUTr3HNJgWXxKmzTyozzw5q/iRQJYtW4bly5fj888/F8eTTz4pSOeWW25pusfntEm+c+dOIY1QStq/fz8WLlworHi+9957oGVQds127dolpDLmlfHPnDkTn332mQhH6UdNm/nnNaUAEhFtmfOjZfvckzI6C0tMVVvmlMK8nR7zwXKznbK9quV2lj8j7zNdvpNmOtNJx8zCMS1+MSgqm+XYYPXYMq+qAlasADZs0J5Tko23bJmzUZJAbLtJb731liCd3r17N3Wb+Jz++IKqji8s80VCZLeBZ/5nF4kuOjpakNKqVasECanh7M/nky1ztteO7jo86VAP4Au2zNnQuCm73o3ZKSqTIMxwc+bMEaQzaNAgj5Kj1NOtWzeMGzdOSEzsgpFA7R2/xJTmeFA6MsNR98EuD6UKsxzbKdtrR3cdnnT45fAF0uF2pV9/DWzdqr3JUcqgBGEW6bCb5OfnhwEDBmjPrE2IX375RXTdvvzyS3z66adC3+OMdAoKCkwnHRK52aQjJR2bBuKrl75COtyY/fbbFSufWrH2VdJxt5xyno67SPmGPynpGFxPlDao0yERaHFUO40dKxd8OsJMko4jVHz3niQdg+tOL+lwAIE6RC6H0OqkpKMVsdb9U6cju1et46THhyQdPai5CKOXdKgf5QZeR464iNzJI0k6ToDx4LYkHQ/AayWoJJ1WANL6WC/pcNCCetnXX9eaIkRXzhcVye6WVHav3EXKN/xJ0jG4nvSSDjdmpyWI2bO1Z0hKOtoxay2ElHRaQ0j/c0k6+rFzGFIv6XB+zkcfAatWAdwvWYuTpKMFLff8StJxDyc9viTp6EHNRRitpEMFMre1WLAA6N4d4Hw7mhfWskjdai1HdnYK6urMmThn1DwdFzC2eCS7Vy3g8Pk/knQMrkKtpFNcDLzxBnDZZcB//Rfw+98DnTsD338P0OonJ+jy4I4OViv1N8rBycf8z+UTWVkWxMeno6amDpxAy3CUlvic/hiG99Q4SGi8xxULJD3GUVqqnPmf9/mc6TIOhrNNV5KOwY3mP9FxEqucHOgdbE2Ntb1PDqSU06kT4OfXfPzhD8CwYcCyZcpkwREjmvdP7tEDeOwxYOdOIDYWePddWpGwYtq0cuTnN2D5csWqBA33cb9lf3+gd2/g4YeBwEAlDHcofOopxYQxh+nnzwe6dAHmzFFsqXNmNMM8+ywQGQmcPq2kyTCMb8aMWYbMSHa3IUhJx12kfMOflHQMrietko4j0rnwQuWF37hR2b6UFiKSkpRj8mRg/HggKAjIzVWWTjz7bC2WLy9GSYkVv/wCjB4NQT4cEeNm7wzz6qtATIwyF2juXGWUjJuGce3lunXKjoW0o87/HLrnKNr77wM0dxwfD0yYoEhk3MP53XdnS9IxuN0wOinpeAHUtoiyvUs67LZQ0mD3SpV2unYFfv1V0euw20MiaGxUujq8phVQdQM9doWSksoRF6cs+GR3iLOb2Z2i43/6ZzeOYRgPn/GeunaS3SgSmKpHYpeMz5k2/TMcR9cYB7tf3GPHiLVX7rYHKem4i5Rv+JOSjsH1pFXSYfK0ebVokdLlGTIE+O47RRfjbtaqqsqRnu57Cz7dLZ8kHXeR8g1/knQMric9pKNmgVIFD63OYvHNVebullOSjrtI+YY/SToG15MnpKM3K3Kejl7knIeT83ScY+PpE0k6niJoF16Sjh0gBvyVko4BILajKHyCdKjYjI4GDh7UvgrbmSKZ3Riu6KYClfG74zifhfoXjugkJwPcA4dnjhKps4i9QTpU3iYkACdPAnFx5+bXmaTDclGpnJam5JX55SgYR8xURTPLnZenYBsS4g4KHL0yZhMv91JT9tWWm3i5i1b79+cTpMOX/LXXlD2EtW53bEs6HIXhnBMqbbnOafhwYOFC97cI5Us5c6YSjmFpGI+mn6ZPB2gSmK6+vlbXfjqOmgpHnjZvBl5+GRg8WEmL6XEyYUBAM/k4Ix3OwfnwQ+C555R5P8zv008rWO7a1TwCVliorPnisDhH01pzknRaQ0jfczlkrg83w0NxSHjLFmVXvR07tEdvSzqUVLjx+aOPAnfdBfy//6ecOQHOHcd5M9zdj5P5OGGPk+d4JhGdOqXEYLXq28TLUfoc0iYR3Hkn8MwzCtkwvauvBvr2bU7TGemQJLm04vrrgX79FPIhaU2cCHCOjq2Ex0mF9MtJhyQ7V06Sjit09D+TpKMfO0NDslvBiWp82Xit1dmSDl9iTnQjQVAKoLRCEomKci9WLk3gTF3OFHbmjOxe8eWnRMOZx6pjN+6TT4BLL1WkNN53NnrF7hjXcr31FkBpxpULD1cmFb74ojInx5Vfo0iHliNod4nWOqQtczk50FWbM/UZuwHdugEff6xMVtOaeGZm88bs1ONQP6IOS3M5gFbS6dlTmczHiXOUwuydkaTDuB1JHcePA//8JzB1qpJ6ZSWHzLngs6Vyil2+gQMVyebsWYh1WSy/I8euJ5dB3Hxz6yRsFOnQBM2GDRuEJQh/f39hwobmZuydVCTbI+Lb/9u9Tufzz4FrrlG6Aw7aY6voZ2fT7lWeQ3/UdZB0qKR2x1G/ct99wI03Ak88oehJ5s1Tlheo4fni02AauzzecJTWuFzhX/9qlrgo6aSlnTs5kEsWuF6K+SVx9++vSD3Odif85hsF602bWna97Msxa5ay9mogGc0DFxgYiJ9//hnfffcd3n//fUE+NHJn79qKdKQJGvuaMOZ/uycdbmp17bUAv9T2jiMw7DY4Oth2eT8qKhPZ2Y77Fi+8ANxxhzKiYx+3o//srsyYAXAxJRdaUjdy//0AZxGzG6Q4qyAdWqW0d7zlKK/qPXXpgTNphPFRT/PQQwrhqd1N2kLnfr58OW0dR9VIipSI3nlHIZzHHwd4/PSTrU/let8+RX+0dGnzEolzfXEbjgViGcRQKog8cMSI3SqOTNHC5xtvvCHMzDiKkjavSEhWR6KfowAe3mO+2DU3y84Ws0scaOWzozvTSYcNjX14Ks1cHQUFeUhMLMDo0dW47jorQkIKUVKihCkry0NgYDGmTKnF8OENGDq0UZx5rR4jRjRi2LBGvPJKEXbvzkZpaV5TuoybaQ8ZUo3Onetx7FgRCgryxeEqT+HheTh4MA9nzuQjISEfAQH5eP31Ilx+eS1Gj65FRkYh8vKyEB0dJUhALSfznZRUgLlzq0X+hgw5N7/MN0eoxo2rx+bNFpE/NZ+FhXkoL2eZLRg82IpOnSqxbl0h+JwNlVuVsqtC07tqmizH2bPMbz5OnsxHXFw+mP8PPijE9ddXCRPG4eFFKCpiHPkoK8vFpk2l6Nq1FpMnVyImpgh5eZnCzviUKVMwdepU8Mzj3nvvFaRz3XXXNd3jcx40PRwVFSXyT7vkwcHBoEQTFBQkzrRvzvu0Yc62wPvz5s0TNtA/+eQTYQmUZbKtB/pVrYTypbQto60/o66ZPgmHtsUzMzO9nh7zzTRZRtpr539vl1FNgxK5WUSukqnppMNCskIpuvLs7MjKSkdcXBZGjarANdfUITAwGwUFSpjCwjQcOpSLV1+tRf/+jejbt1Gcea0evMdj1KgibNvGLlYaqN9heoyb50GDKtGpUy0OHMhBVhbvN+eHfvlfDUP/7Krl5aUjN5fnDBQUZCAxMQePPVaDW2+tRlBQFtLSUhAZGY7k5ERkZWUiIyNd5Ds6OgszZlSK/PXp05xPNb88P/UU81uHDRtKmvKZmZkOltffPwP9+pWgc2crPvusDElJfPnSxUtB2+nh4eFi/ZVtfpl/5pd5zclhflnuLEyaZMHll9dj48Zc5OSki3IWFaXhhx/ycdddNZg4sRzh4bnIyDgLdqVos7xz58649dZbxfVll10mSOdPf/qT+M/7fH7zzTfj5ZdfxokTJ8S0gd27d4NEsmjRIixevFicafN8z5494jklFxrcGzNmDEaPHi388EUnsajtgu2EUhxfxri4OCFFqs+8dWb6NIMcEREh8umtdGzjJbmxfJGRkU1lt31u9LX6/rEOaArbTGc66WgpHLHgtg7U6VA/ocfxJSSrO3JUJHMfGbWb4siPO/c4QkTdEOcTcZ4OiYfKXaMc4+VcnbvvVhaD2sdLIqdOp7GxpSLZ3p/6n3OT/va3c/Vk3BbjttsUpb06eZCNki88pRe+FLx+5ZVXBOl0795d/KfkQkmLL4yKNbslCQkJOHDgAHbt2iWIhmf+5xedDZ1+VMUxiYgWQ5mGvWsrnY40QWNfE8b8b9ekwyJSaXrddcpWD3qKTKmE3RBbR7UACY3D8LfcAoSFNU+UU/3xpePwOrd0UB0Hh7gzn6rQZjzcGIuEQ4Wt8sGoEyNJUVEWsT2EoxEuNT53zpw1zYmMzOeKFcrkPaajpKXEQILj1hYREfVi+wk1f1TxML+qGoT/WSbqoG64oeVQPGPi5l0keJKPK6dFkUzRnQSjHraiPImKJEbFO00LT5gwwaEtbxITdTocXrcfoXOVT0+eqWuvOKxvlmOXihJNR3ftnnSo3OROefw6OxjYaLV+WInq15eeuRRg7VplE3QqkfnFp6L1s8+UZQZ8SeloU5yTCG03Sl+9WrHCuX498PPPynyZBx5QRpI4uU5xdUhISMbIkeUYM0aZAa0+0XomyXGOErcw5QRBYvDFFwAVvUuWAEePKjE2NJRh//4UPPxwndh4SzXYx2UjlJA+/RTYtk0pNycJ/t//KfGq0gxjoZKbymZKOiQmV04L6biKZ/v27ZgxYwZmzpwpdEHsIjpS3EpJxxWKvves3ZMO1wlxchtn4Lb2MjiC3550uIUn4+MMXw4hU0KhxMPd+DjjWd3Iitd8QTmMzJnMdNxhj9uF8j7zwzO3FaU0xjVZiqtFREQyrruuQsTtaNRN9dnamaQzaZKy/Sjzy9nJlHo46sauIWdIK64Mhw6lok+fOmFRguvJ6I4dU5Y99OnTnGeOcpO8EhObJTb65fIQTiEYN671+VBGzdNh9+X48eM4evSo0J0ouT73V5LOuZj48p12TzrsRnAXPX7pf/ihmQDcBd2edDgsTQmBkw4PH1YsanJ7zv37laFzdX4d1UDqzGW1e8Ih6D17lG7IypXKS08Ss3UU/7dty8Jtt1WINV5qfLZ+3L1md4gzhSmx8GA+eTAPXMagknB1dTliYlIRGMg5Qs2TFrnLIMvKTcGYXxLoiROOMaQ1Ckp2hw617Lo5yqtRpOMobkf3JOk4QsV377V70iG07C5Q9OeL48mCTzOqqbKyHlu25GDu3CpBGGakWVamKJIB9xTJ9nmiJEfS4fwjdQtTez+2/yXp2KJh3DXVAFKnYxyeHsVESYNzprgwU6tex17S8SgjbgSmGZjo6FTk5lrc8G2MF45eca5Ofb0+0iGmnJXNUTJ3nCQdd1DS7keSjnbMvB6C3Q11ZMbdxMwmHXavkpOTDR0yb62sKunoHdnRiqskndZqRN9zSTr6cGt3odqKdLgeyiznKelozackHa2Iuedfko57OLV7X21FOiQCs5wkHeORVufpVKtzKIxP4pwYJemcA4lv3pCkY3y9SUnHeEwZoyQd7+BqeqySdIyHXJKO8ZgyRkk63sHV9Fgl6RgPuSQd4zFljJJ0vIOr6bFK0jEeckk6xmPKGCXpeAdX02OVpGM85JJ0jMeUMUrS8Q6upscqScd4yCXpGI8pY5Sk4x1cTY9Vko7xkEvSMR5TxihJxzu4mh6rJB3jIZekYzymjFGSjndwNT1WSTrGQy5Jx3hMGaMkHe/ganqsknSMh1ySjvGYMkZJOt7B1fRYJekYD7kkHeMxZYySdLyDq+mxStIxHnJJOsZjyhgl6XgHV9NjlaRjPOSSdIzHlDFK0vEOrqbHKknHeMgl6RiPKWOUpOMdXE2PVZKO8ZBL0jEeU8YoScc7uJoeKy0Z0iytWU7dOVDup2Mc4m25MTttmpvl2E7ZXju684mN2T2pBCnpeIKe47BtIenQEB3tfTuyi+U4l57dlZt4eYafq9AdnnRoFrfM1qqcKzQMeEZLlnw5zNxxjmkxTVvrmQYUxWkUZpMOLXxScrRYLKaVkZY9zbQoSrDZTtleO7rr8KSjmrU1qyL5gpB42CUwyzEtdutUu+DeTtds0mF5WI88zCojMWU9mpUey8j0zPpweLuNuIq/w5OOq8LLZ/oQaAvS0ZdTGao9IiBJpz3WSjvPkySddl5B7Tx7knTaeQW1x+y988478PPzQ38ag5dOIqARAUk6GgGT3mniWSGdfv36STgkApoRkKSjGTIZYNGiRbjoooswYsQICYZEQDMCknQ0QyYDhIeHY9WqVfD395dgSAQ0IyBJRzNkMoBEQCLgCQKSdDxBT4aVCEgENCMgSUczZDKAREAi4AkCknQ8QU+GlQhIBDQjIElHM2QygERAIuAJApJ0PEFPhpUISAQ0IyBJRzNkMoBEQCLgCQKSdDxBT4aVCEgENCMgSUczZDKAREAi4AkCknQ8QU+GlQhIBDQjIElHM2QygERAIuAJApJ0PEFPhpUISAQ0IyBJRzNkMoBEQCLgCQKSdDxBT4aVCEgENCMgSUczZDKAREAi4AkCknQ8QU+GlQhIBDQjIElHM2QygERAIuAJApJ0PEFPhpUISAQ0IyBJRzNkMoBEQCLgCQKSdDxBT4aVCEgENCMgSUczZDKAREAi4AkC/z+pem5roqsOCwAAAABJRU5ErkJggg==[/img][br][br] Las coordenadas cartesianas se usaron un ejemplo para definir un sistema cartesiano o sistema de referencia respecto ya sea a un solo eje (línea recta), respecto a dos ejes (un plano) o respecta tres ejes (en el espacio), perpendiculares entre sí (plano y espacio), que se cortan en un punto llamado origen de coordenadas. En el plano, las coordenadas cartesianas se denominan abscisa y ordenada. La abscisa es la coordenada horizontal y se representa habitualmente por la letra x, mientras que la ordenada es la coordenada vertical y se representa por la y.[br]Si tenemos un sistema de referencia formado por tres rectas perpendiculares entre sí (X, Y, Z) (terna ordenada), que se cortan en el origen (0, 0, 0), cada punto del espacio puede nombrarse mediante tres números: (x, y, z), denominados coordenadas del punto, que son las distancias ortogonales a los tres planos principales: los que contienen las parejas de ejes YZ, XZ e YX, respectivamente.[br][br][img]data:image/png;base64,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[/img][br][br] [br][br][b][u]1.2 Distancia entre Dos Puntos[/u][/b][br][br] Por haberlo estudiado, sabemos que el [b]Plano Cartesiano[/b] se usa como un sistema de referencia para localizar puntos en un plano. Otra de las utilidades de dominar los conceptos sobre el Plano cartesiano radica en que, a partir de la ubicación de las coordenadas de dos puntos es posible calcular la distancia entre ellos. Cuando los puntos se encuentran ubicados sobre el eje [b]x[/b] (de las abscisas) o en una recta paralela a este eje, la distancia entre los puntos corresponde al valor absoluto de la diferencia de sus abscisas [b](x[sub]2[/sub] – x[sub]1[/sub])[/b] .[br][br][br][b][u]Ejemplo:[/u][/b][br][br] Calcula la distancia entre los puntos [b]P[sub]1[/sub](7,5)[/b] y [b]P[sub]2[/sub](4, 1)[/b][br][br][img]data:image/png;base64,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[/img][br][img]data:image/png;base64,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[/img][br][br][br][br][br]
dentro de un plano cartesiano existe 4 cuadrantes denotados por números romanos normalmente.
el signo del punto denota en que dirección se debe graficar el punto.
¿CUANTOS CUADRANTES TIENE UN SISTEMA DE COORDENADAS?
2. GRAFICAR LOS PUNTOS A(1,3); B(-3,5) EN GEOGEBRA Y COLOCAR EL ENLACE EN ESTE APARTADO
3. CALCULAR LA DISTANCIA DE A(7,8); B(-5,-8)EN GEOGEBRA Y COLOCAR EL ENLACE EN ESTE APARTADO