Sistema Cartesiano de Coordenadas

IFRN / CM - Matemática 1
Duas retas perpendiculares entre si (ângulo de 90° entre elas) e orientadas a partir do ponto de intersecção ( 0 , 0 ), também chamado de [b]origem[/b], formam um [b]Sistema Cartesiano de Coordenadas[/b]. [br][br]Estas retas concorrentes (que se encontram na origem), dividem o plano cartesiano em quatro regiões que são chamadas de [b]quadrantes[/b], e são enumerados de acordo com a figura abaixo:[br][br][center][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAT4AAAC1CAIAAABJWgTIAAAgAElEQVR4Ae2d51cT27//f0/vWvfRfXD/iHvvOd9zbHRICL1JkyJSBAuIKNgQUQEFFDsiIF04iKLSERUQFVE6ItJFek1PJn2Smd9KNs43hmLEiAnsWWd5hsmePZ/9/uzXbrP3nv+Hw0PXFMAwTCaTSaVSTOmQyWQYhhFJAWFULhK/wpMNoMD/2wBp2GxJANDiOK4MMIqiKugS9G42fTZJeiG6uudoglKZTCaRSIiqFdTBRHoguoQUG/IEoqt7bkVRVCaT4TgO4ATEghoYXAdJIq7rXgqhxWooANFVQyTtCPKhu+dTb59EIucWw7A3je/6B4YkEgmO41KplMlkikQioi2tHSZDK36hAhDdXyiuZqNOunLj7PkLHA4Hx/Genl4SxbazqxvUwEKhsK+vj0ajSSQSqVQKKmRY62pWf22LDaKrbR5Z0Z7cvIIj4SdZLBaO4xHHo+IuJLLZbJlMJhaLZTJZUVFRTU0Nh8MRiUSAZ5nikEgkysNXK8YOf9A1BSC6OuOxqupne4NCGAzmh+4eC2un3r5+qVTK5/NBIzk6Ojo2NnZqakomkyEIAhrVkFud8e6PGwrR/XHNftMdrW3t7rt8aDT60fCTN26mcDgcDMM4HI5EcXh7e3t5eU1OTqKKA7SWQe/3N9kLH/trFYDo/lp9NRj76Oi4pY3T05oXdo6uY2PjYDBZrDiGh4cdHR319fVbWloQBMEwTCwWg9oYVrwadIFWRQXR1Sp3rGYMgiAkc1snF4+7mTkslryXC2ZlYBiWlpZmamr6119/Xbt2jcfj4TguEAjEYjGoe1eLFP6mswpAdHXJdXaObmQLu5mZWYFAACZmSCQSJpPp5+e3devWP/74w9nZeWxsDNS0KIrqUtqgrT+oAET3BwX7fcGFQpG9k1tBYRGPx8MwDLwHQlH06dOn4eHhvr6+AQEB+/fvr6ysBCPPyhOtfp/V8Mm/SgGI7q9SVrPxMhiM6zdSdu8JBC9vwTshULu+ePGivr7++vXrBQUFr1+/fvXqlVAoBGyD90OatQTGpiUKQHS1xBHfMSP4ULiDk3tHRxfRDAajUBiGgZO0tLS8vDwWiwWmZBDTJL8TL/xZZxWA6Oqq6yC6uuo5DdkN0dWQkOseDUR33SXXrgdCdLXLH+pbA9FVX6sNGRKiq6tuhejqquc0ZDdEV0NCrns0EN11l1y7HgjR1S5/qG8NRFd9rTZkSIiurroVrA0iXg6lp6fn5uayWCxiowywh4auJg/a/T0FILrfU0hbfye2pAIny6ILV+pqq/c0YBdEVwMi/pYoILq/RXbteShEV3t88WOWQHR/TK8NFxqiq6suhejqquc0ZDdEV0NCrns0EN11l1y7HgjR1S5/qG8NRFd9rTZkSIiurroVoqurntOQ3RBdDQm57tFAdNddcu16IERXu/yhvjUQXfW12pAhIbq66laIrq56TkN2Q3Q1JOS6RwPRXXfJteuBEF3t8of61kB01ddqQ4bcmOjy+Xw6nQ4m4rPZHDaHQ0zKV/GiQCBsaW2vfvr8bdN7LperQ5N+Nyq6KIpSqfLvnql4Cvwpk8l6PvXVPHvxsuH17NzcSm5d9t4NdnFjolv08JGDkxuVRsNxPDLq3MnIaDZb/oE8leNN41uKpcOff+uTLez+tUV/h4FZeUW1SCRSCaadf25UdPv7B43NLDu7uon98Qj9x8bGPb39/vhLz5Rss2W78R9/6SVdvYEotownwmyek82Lbv3LV8ZmlvGJV6hUGoZhfD7/TupdPUPSk9JynaB3s6E7PjFp6+ASuC/k8+cRmUyGomjNs1qSuU3shUQuF9k8xBIp3aTooijqvWfvycho8LlaQo7YuEQX9900Gp24orUnmw3dxMtXnVw85+cXlD1SVlFlZGrxqbdvaRWtHGxDnm9SdD909xiZWr5730Jsawy82/Opz9jMsvHtO4lE27/6sanQRVHUwtoxLT2Lz+crc4iiqK29y53UDJXrymE26vkmRbf66XNDE8rU1LTKuBRX8UmuBw8fC4VCLXf5pkJ3enrGlGz9tOaFWCxW8cu+A6Fnz1/gcLgq1zf8n5sU3WfPaw2MKRMTkyroMpksM3ObJyU60N3dVOjOzs6Zkq0rq2pES9ANCAyOk3d3IboborD67gjzp95+YzPL128aVV5CdHZ9MDK1aOvoRFGpliuxqdCVSqU29s7JKek83jcNZrFYbGHtmJ1zTyAQaLm/NG7eJq11MQzzDzwYGhbBYrHBV2oTL11tfNsUGhbh4xtIpzM0LrTGI9xU6OI4fjP5jq29C9HHKXpQXFhUnJqeSbawGxga2oQveDcpujiOt7S2mZnbRBw/3T8wKJFIMjJzd+ib/e+f2982vVcZu9I4dRqJcLOhu7BAddvl4+6xp+l9s1AobHz7zpRs879/bk9Ny9yEY1Q4jm9edHEc7/7Y4+Lu/cdfen/+rfc/f2yzsXO2sXM+GnFybm5epQ+sEdg0G8lmQxfHcSqNduhwxL+2GAB/GRib7/L0dd3l87GnF74c0mzu0oHYZDLZ6Oh4e0fXyJdRCYoiCC/lTjpEV5s9Nzc339nV3T8wyOfzZTJZQeGD7u6POtFQ0qyqG7PW1axG2hnbRq11tVNtLbQKoquFTlHLJIiuWjJt3EBrR5fBZA4MDmrDrCM2m8PlIr+xd7o+BkxOTk1NTROdup9B94d8JxaLiWVYawYBQXhsNlt7xoFpNJpQKPzVeabnUx+H86uWo60d3ehzcU9rnmvDTP3IqHNXrt1EkN82B10jBszOzpVXVq/yfnJ8fOLwkWMMJhPw8zPo/pDvmt412zq4UqnyZVhrPlLTMo6fjGKx5a/itOGwsXOuqn62dILHD9nW09Pb+PadSKQ6wYuIpKKy+k5aBoLwiCsaPFkjum1tHV67A8CqOg1as7aoNELO2h4N7tKIAU3vmq1tdi4sUFex5HTU+YrKaqFiWeKa0f1R3zGYzJbW9qUzEFexc+lP4+MTff0D2tBGA7ZpBN3UtIzwY5FgasDSJOM4LhKJPLz8+voHiLbSssHWdnGN6IYfi7yXX8hXTGGRSqWvXr25nZJeUPhgdHSMsJJGo5VXVN9JzXhRW69cOb9733InLaP4UcnCwkJtXT2fz6dSafUvXxHThvv6B7o+fJRIJPPzC2+b3tNotKrqZ7fvpLe2tROTn2Zn54oePLqTljE4OHT85Bmi1p2ZnXv8pCz9bvbbpuZlcxuGYW/eNKWk3n1SUj4zOwueS6MtbwCO49PTM/8UFl29nlz08DGTySKaWMsa0NPzaXBweHBouKCwiMfjoyj6suFNckr67TvpnV0fQMZdNlFUGu12SrqxmeX9omIWi41h2LLqdXR+2OXlOyt/d4WvGV3Cd1wEqat/SafTix+X3knLaG5pI+R90/h2dm6+ubm1+unzicmphldvhEKRWCyuq3vJYDDeNr2/k5bR9L5ZLJa0trWnpmVUVtUQ7sNxvK2tPSMrN7/g/vjEBMgPQ8PDnZ0fxGIJgvBq616yOZxnz2vb2jokEklvX39OXkFefmH/wNCyA8V8Pr+yqiY5Ja2xsWloaLi9o0ssFg8Pf1acLK7Ib3rX/OVr3lvJZb19/ZnZebl5BfPzC1a2O0Gtq5xSoVDIRZCSssrrN29n5dwbGx8Hxg8MDPV86h0bnyi8//BuZg540NDwcMSJ057e/pVVT0H2Hh4eKbxffDczp7OrmyikcnLzo8/FLbtcfG3EEnetBV0ajW5mbvOx5xNIWNKVG24ePhcTk46dOE2i2Hz48FEqlQ4MDtk7ugUEBkefi6NYOcTGJYBFlalpGWQLu4jjkfsPHt7jF/SvLQaTU1Pvm1utbf9d4Vy7nnz6zHk2m9PwqtHReZfjzl1RZ2KORpzapmf6ovalWCwZHv5sY+/i4xt4+sx5J2cPOwfXS0nXEATp6uq2snU6EBx29vwFMsUuPvHK0lb0paRrFEv74yfP+Ace9PIJ0DcyX1igNre0LWvA0PCwpbXjqcizV68nu3v6eu/Zy2DI26srGRAblxgadoxsYRe47xCTxYqJS3B19756IzkqOkbfiFxVVSMSiZdNVM+n3pDD4Vt3mBw+cnxyaqqvf2BZ9aRSqePOXTXP5LPw14ausu8+j3wxI9t4ePuFHT0efizSwNg8OycftNid3bxCw45RrBySrt54/qIeNJgZTKaZuY3nbv/QsGNB+w9t0zMJDYvwC9gXfS7O0JiSnpENpkZcTrpuYeUYFR2z/+BhsoV9Z9cHFJUSDeaxsXETklVIaISTs0d5RVVefqG5pf2JU2eOnYgyMrUoKa1QLuVxHBcIBP6BBx2c3KOiY1zcvHZ5+QYfOspise5mZCvXeHv89+UXFAkEgpVcVv30uZm5TfCh8KMRp3x8g7buMK6qls+IVk7p/MLC7j17g/YfunEr5UDwEROS9eDQsEwmu5l8x8c30N7R7XxsvI9fEIli9/nzl2fPa3d5+ppb2MfEJnC53Kqnz8zMbcKPRZ44FW1gbP7ocZlQKN+zYXj4M9nCbmx8nCj0CfZ+8mQt6NbWNVjbOS9Q5U07qVRqaeP08tVrUGAnJ6eWlVcKhcKwo8fjE68AXEEW+fDh48TEJMnctrauXiyWF5aXk65v3W68OroGxpTyiirgzoPBR2LkRQA36kxMxPFItqLjNDg0bGxmdTEhicPh+AUcuHL1FuhaDA9/NiXbNL1vVi7IBwaHTEhWLS1t4GJUdKyhCWUVdAvvF8cnXgGrUj6PfDEhWfX29stksmUNQBAkNi6RYmmvaCDJBAKht09AZ1c3mA59LuYiWODS8Kpx2UQpN5iXVQ8UlCcjoy8nXeciyNrQVfYdSNHN5DtgYnDV02cW1k6Tk1MYhjm7efn6759fWMAwjOjrAnSJpe2+AfsdnNxBHzj5dtq+A6FMJrO9o8vKxqm3rx9Yey7mYlR0LIfDUUE3QVGqzs3Nm1vag5IIx/FHT8rsHFynp2eUc/nD4ifOrp6Tk/I1Xjwez91jz/7gsFXQXdZlAoHAycUzK/seny+f6lxcXKJnQAKLGZRT2tXVvTcwmKbYXAVFUWc3rwcPHwmFwpvJd0xI1v0DgzKZDEF45hb2jx6XCoUiosHM5XJtHVzLyhcz6pOSchd3b9D3kclkVrY7KyqfrtIlXhvDa0H3flGxu4cPjb64Hj007Jjjzl3JKent7Z2AMR6PR6LYZmblNb1739zS+r651d7JraCwqKq6hkSxnZubB7a+bHhjYExZHV0zss3s7BwIf+1G8rETp1lstpOzJ9AOXHd280q4dKW/f9CUZP3x42JbAMfx4JCjKXfu8pQ2QCkprfDw9iemKJdVVJEodqugi+O4WCzu/thTVf0sJjZh63ZjsPHKsgYAdM+ev6i8AG16ZvZNY1NhUbG9o7uiuJE3JZZNFIHuSuoJBPJ1iJeSrp04dQaM1oIsDhhW8/u6yr4D6BKLlsGCxybFPFBnN6+iB/Jci+O4Crp1dQ2gmI44flq+v4xidLCistrbJ4BOZ6SmZ/rvPVBX39Dc0trc0pqckuqw051Go6ugq1gcL6uqfubs5kVsbMDn80kU24ZXb4h2O47j52Pj4y4kcr4uDALtmlXQXdZlQ8OfTUhWg4PyKhTHcVDzE+gSKcVxHMOwoaHPL2pfZmTm6huSc/P+EQgEN5Pv7D94mMlkgfzmG7A/K0deChDovnvfoiiDakGqq6qfGRibd3f3gPLL09s/Jzcf9C5BDBr5dy3oZufk+/gG0RmLc/QRBCkoLAoIDN6y3ZhsYffqdePIl1FTkrXn7oD9Bw8fCA4D/5WUVj4pKd/p+m9XDQ0Pm5hZLUX3yrVbRIPZ/mu5juN4ckr6sRPyUUprW2flTaRCw45dvnKjpbXN2MxybGyCKLMjo84lXLqqvPtJ0YNiP//9jK+Wt7V1WFg5LkVX2QBzSwdnN6/TZ87fzcjeYUAC6C5rAEA3IXHxiQKBIPxYpLGZ1f7gsKSrN4MPHQVbZDW8alw2UQS6k5NTy6oHQLqcdCM07Bj4ev0a0FX2HUB3fHxx5aNEIiFT7ACZzm5eZeWVoCBWQZdYVhVx/PTtO+mgZKysqgHoXkxIsrRxDNwXQvj90OEIFoulgu7IyCiGYfeLin2V3IHjuI2dM/FckL9PRZ27dPka4cTM7Lwj4SeXouvjG5hfcF8gEDS8alzqsp5Pvcp5QywWkym2BLrEE8fHJ9w99ljaOB2NOJWWnuXg5HZPEefN5DsK3y0OjwfuC8nOzVdGt7KqxoRkHRB4kEj1geCwD909oHHn5RNwJzVTZc3Tz9O7FnQfl5TLa13FLjA0Gr2+fnGEicFkgk7szMwciWJLFM84jrd3dE1Pz3R2dSva/Yt0vXvfYmiyWOtSFAiB9Bw7EbV6Lg/cF0L0rHAc9/IJSLx8dXJyikSxffVqcR0fhmGeXn65eQXKr1veNDbZ2DsT1fjzF7VkC3uA7rIGuHn4ELPbZxRLRgG6yxqggm5lVY29o9vEhLz9CWrLyKhzoAO/OroCgXBZ9aRSeY1x9vyF02diwB6Xa0BX2XcAXWIDty+jY6Zk6/7+AZlMtmZ0MzJyDgaHERXU/PwCGFVaFt3XbxotbRxnZmZBQqampk3J1q3tHcp9nOSUdAWri9hcTrpx+MhxgO6RoydYLHlNKJFIbO1d8u7Ja8hlXUanM8gWdsTCkrm5eWL1r3JKLyYkKSJffJant7+a6La0tpEotjMzsyADCwSC980txAajjs67CgqLQKPp54klYlgLum3tnRQre2Do1NS0GdmmQj7IJhaLxediLkafi+NwONHn4g6GHJmZncMwrP7laxLF9uPHHolE4uMbqKiXuFwuF0wln5ya+jwyYkKyeqHoA7e1tZuSrY9GnFwllxcXl7i4eg0MyJd6lVdW6RuSLyYkIQgSE5ewNyh4cnIaRdHC+w8pFvajo98MD4jFYmdXr1u3U3k8HpPJCgg8qGdIXliggky81ABnN6/LV24gCI/BYMQnJG3Zbvy+uRVF0ZUMiI1LJGrdsooqsoX9yJdRFEVb2zosbZxCQo+yWOyVat22tnZ5uTYmN3hZ9UDra3/wYVBsra2vq+w7kOrDR45TafLNU8/FxAcfOspUwKCcoX+o1h0e/kyi2FQ/fSYWixGEFxx69GyMvAexLLoSiWSXp298QhKTyRIIBGfOxu7dF8L8+uIa5NGBwSGyhV1tnXx4cmBwyMLacd+BUBaL9aSk3M7RdXBoGEXR3LyCHQYk0LhdyWVR0bGHDkeAbWITLl3dst14aa0bG5cYuC+ESqUJBMJHT8r0DEnpd+Vb6qxU62Zk5QUEBTMYTKFQ5Obhk3T1BpeLSKXSm7dS3b7WbQiCkCl2v2LLpLWgi6KovZNbfcPi0NSD4sdGphZGphZ/bTV0cfMeHv4sk8loNPrhIye26ZkamVruMCCVli22vsbGxj28/AyNzbftMAkOPbplm9GUYljiYsLlLduN9QzJbrt8os9dWL3BLJVKk67e0DcyNzK1sHdy33cgFLwc4iLIqdNnt+ubbdMzpVg5vGlsUu41gazQ3z/o7OZlaGKxTc80ODTc0MRiYYGKYdiyBlRW1RiZWpqQrIxMLbKy73l4+5EotlQqbSUDlNFFECRw3yGFAhZ7/IIysnL1jciZ2XnVT58vW+tyuVxHZ48//9bv7e1fWKAuq55AILSwcmhtk9dLa0NX2XcA3dCwCBOS5dYdJm4ePiMjX0BvcM3o4jheVS0fazU2tfx7q6F/4MH5eflY17Lo4jj+ZXTMZ0+gngHpr62Gu/fsHRmR7/ZIVCzgpKKymkyxMzazMjaz9N97ICQ0nMVisdkc/70H/95muMPA7GTkWR+/oH8KHwgEgpVcxmKxgw+F6xmSdxiYhR09YWXrJJ9QpBhhJhrMAwPy1yIGxhR9Q3Jk1Pmz5y8YmVo0NTVfuXZr2QZzZ9cHU7K1rb0LjU7/1Nvv4r5bz5C0w8DMwsqh++uYS1tbh4PTrtVf16ukV80/14IujuP5/xTFXkgktlNEUXR8YlJ5mh54PJ3OGB0d4/F4oEWEoiiDyZRKpTOzc2w2p/HtO2s7FzBSjeP47OzczMwsqFvUsZ7P509MTC6FE0GQ2dm51eOZnp5BEKSltR30dcHjljWAzeaMjU+A13QikYjOYBB5ayUDCOOlUunY+ASLxZbJ5G1mGo0uEomAFEQY5RMURTlKu72rqIfjeGVVTUhoOGiOrg1dZd8BdMfGJugMxsIClUiXsklrO0dR9MuXsdnZedDI/24kVBqNyWSuYgDIYCKRKDM7F/R1wduNsbGxpTeu4jI6nTE3P79K3hAKRaOjYwKBAMMwmUy2QKWi0tX2SxEIhHy+PDAY4pqamp6YnFKeUHAxIYkYEfiuDj8UYI3oCoWi3b6BQ4oKVv3nCQQCa7ud9wru8/kCKpUacij8zNlY5fFY9aPSSEhimEojsf3qSGQymZ///oaG1+DV2prRJXwHxl2VB/Z+dRJ+Pn5imOrno1qHGObm5p3dvL6Mjq5SKq3ZjDWii+N4XX3Dvfz7PzpuVv/ytY29C9i6Xt7Losobq2u2/idv7Orqdt21ON72k1Gtw+1tbR1Xrt4kXpOsGV3Cd596+x127iIG0tYhCT//iPx/iqKiY37F5KSft21pDLn3CsorqpTnmS0Ns+Yra0d3zY+UyWRMJkskEv9GaNdsvPbc+DPoak8qoCVrVuA3oLtmW+GNygpAdJXV2ITnEF1ddTpEV1c9pyG7IboaEnLdo4Horrvk2vVAiK52+UN9ayC66mu1IUNCdHXVrRBdXfWchuyG6GpIyHWPBqK77pJr1wMhutrlD/Wtgeiqr9WGDAnR1VW3QnR11XMashuiqyEh1z0aiO66S65dD4Toapc/1LcGoqu+VhsyJERXV90K0dVVz2nIboiuhoRc92gguusuuXY9EKKrXf5Q3xqIrvpabciQEF1ddetSdAsKCojv+oBfMcWBoiiGYcobPoF15Lqacmi3QgGIrq5mhKXo5uXlEVtGoCgqkUhkigMALJVKiVWW4IquphzaDdHV6TywFN179+4RtS6AE/yLoqhUKpVIJCKRSCaToYpDp9MOjcdxHNa6upoNlqKbn5/PYDDAN01AIxk0jCUSCTgBFS+gV1eTDe3+qgBE96sSuvb/pejm5uZOTk7OzMzMz88vLCwwFQeVSqXRaAwGg06nj4+PA7DFYrFy11fXkg7tlSsA0dXVfLAU3aCgoMzMzAzFkZmZmZubm5WVlZ6enpmZmZ6enpKScv369Y8f5Z9QhH1dXfW6kt0QXSUxdOp0KboPHjyg0+lCoVAkEgkEApFIJBQK+Xy+UCjk8XjDw8OPHz/+8uWLVCqVyWQAYJ1KMTT2GwUgut/IoUN/LEU3OzubSqWCjamJPdYxDANDzUwms6ysrK+vTygUKo8261CSoanKCkB0ldXQpfOl6Obn54PPiAFWQauYaB4zGIySkpLPnz+DESxdSuomsFV57BC8hF9ln3egB0RXV/PFUnTv3btHp9PFYvkuuSiKNjQ01NXVge8tYBgG0B0ZGYHoarPLlfsy4JUe8TZexWyIroogOvPnUnT/+ecfNpuNYZhYLK6urv7v//7v//iP/8jPl3+oHqKr/X6VSqUikUgqlaIoKhKJeDze6hUvRFf7fbq8hUvRzcnJYbFYoMotLS39r//6r//8z/8sLCyE6C6voDZdBUMSoMWE4ziKosT5SmZCdFdSRtuvL0X33r17MzMz4FtVCIJUV1e/ePGCz+eDTi9sMGu5R4GbRCIRk8kE894kEskqAEN0tdyhK5q3FN3CwkI6nQ5yAGg2gzAQ3RVF1JofQFuJz+eDsQmpVCoWi1d/gQfR1Rrv/aAhS9HNzc0lGszECAcx2gxr3R8UeF2DS6VSJpPZ3d394cMHDocj/8y8WCwQCFb5RKAqumKxGLzEF3w9+Hz+11P4fy1SgMfjAdcgCMLn81NSUrKysubn5/l8PpPJBD/x+XwEQQQCAZ/Pn56efvz4cV9fH5fL5SsOLUoMNEUgWFhYKC4u9vT03LNnT3Z29tjYGI1G43A4oPEMvt8LGlCgUPkGXZlM1tXVVVlZWVNTU1paWllZWV5e/uTJk7KysnJ4aI0ClZWVT58+LS8vf/z4cXl5+aNHj548eRIREXH8+PGSkpLi4mLCZWVlZaWlpeXl5RUVFYWFhampqZmZmSUlJRUVFUQYrUnWpjYEeKqgoMDf319PT2/79u1kMjkkJCQnJ+fdu3dzc3PEomswnQbDsG/QFQgEr169unXrVlxc3JkzZxISEi5fvnxJcSTCQ2sUiI+PB36Jj4+/pjiuX79uZ2fn4OBw5cqVy5cvX716NUlxXLp0KSEhAYSPj48/f/58XFxcUlJSYmJiXFxcQkKC1qRpsxsSHx8fqzgcHR3//PNPPT09KysrFxeXQ4cOZWZmNjc3g8k2YAUYWD3yDboYhoGOMpjmimGYSCQSi8XgT7BuG/772xUAHpFIJAKBQCKRgNeA9+/ff/ToEZvNFgqFYJ09+Aks1lV5rS+TycASot+eFmgAoQCPx6uvrw8ODvbw8Lhy5Up7ezuCIGBxNSBWZfuEb9BV/g2MghCDHMS4JTzRHgWItpNEIrl7967yBjdLjVQebV76K7zy2xVgsVh1dXUVFRVjY2OgXiX2RQClMyiUAcaqDWbgXZlMJhQKwcA0aGETBQM8+b0KzM8vvGlsqqtv+DI6CspjQC+KoqmpqXl5eWCEGbzTl0gkYGoOePEA/gRXwF2/Ny3w6coKAL/IZDIwjwosESE2NiFCgvIFtKdUa11igisR128vjaABGIYJhcLEy1e37jAxMrEwNrX8v3/tOHYiaoFKJSre9PT0nJwcJpMJ2sbKdazyOSHmsheJX+HJb1EATGAGjV+RSARKZ6LKBX2c5WtdHMdlMhnIDWKxmMfjgdBSePxWBRAeb9/BwztdPcJPdl0AABgzSURBVN83t4JX9h2dH2zsXRKTrrHZHAzDpFJpWlpadnY2g8EA6BJIgxe8RDULhi2Ii781WfDhiwpwONznL+qmp6fFYjGCIB0dnXV1L8FLXZUSBOAJVnR+U+uChhaYA028kCbqYeIKPFlnBfL/KbJ3dBsdHZfJMPBosVj8T+FDioX93Nw8wDIjIyM/P5/YVg54FwxHAZgB4avPaF/ndMHHAQUwDAvafyju4iUOh9vb10+xsn/8pAxBENDHAfQS0AJ3ww1udCDziEQieye31PQsPp+vbG5H5wcjU4uBgSFQtqanp4PZVMT8G+By5VvgudYq8KbxLcXSobW1faerZ/LtVB6P911TVWvd794AA6yzAsPDIyZmVl0fPqpUmM0tbUamlhMTk6AYhuius180+zgMwwL3hewwIIUfj2SzOepEDtFVR6XfGeZlwxsTkuXM7KyKEQ+LHzu5eNBodDDgBNFV0Ue3/kRR9PCR4//aYtDT26tSRq+UEIjuSspoy/Wmd83GZpaTk1Mq0yoCAoNPRkazORyIrra46ifsuH7ztoeX304Xz0tJ1xAEUScmiK46Kv3OMFNT06Zk62fPasFCXGBKRWW1kall54duYt4brHV/p5N+7tmlZZWW1k7dH3uev6ijWDmMjHwhBixWiRiiu4o42vLT+dh4R2ePxsZ3YrFYJBI9elxqaExJuZMOBjNgrastflqTHe0dXWbmtk9rnoMZVN579l65fgtB4DDVmtTUtpvYbE5sXMKW7UZ/bTX84y89YzPL0rJKsG0NeBWPYRisdbXNa7/aHljr/mqFNRY/l8v91Ns3ODQsEokIYokTiK7GhNaRiCC6OuKoJWaCdjJEd4kwm+UCRFdXPQ3R1VXPachuiK6GhFz3aCC66y65dj0Qoqtd/lDfGoiu+lptyJAQXV11K0RXVz2nIbshuhoSct2jgeiuu+Ta9UCIrnb5Q31rILrqa7UhQ240dPl8Pp0un5GP47jyOZvNAdN9l/WiQCBsaW2vfvr8bdN7LperMlt42Vt++8WNhC6NRuPx5B9YodHoHI6q/hwOh/bVpyqy66LjVJKw5j83GrpFDx85OLlRaTQcx5XPI6POySfrL7ecCiyV/PNvfbKF3b+26O8wMCuvqAbTHtYs6zrcuJHQtbFzzrv3j0AgiDh+OiDwIJPJVBbQe8/eYyejlvpORx2nnLSfOd/s6Na/fGVsZhmfeIVKpYG9bO+k3tUzJD0pLddyejckujXPag1NKP39A8T8+4HBIWMzy+qn8im+yhlddx2nnIqfOd/U6KIo6r1n78nIaA7nm8XNsXGJLu67aTT6zyj7q+/dkOjyeDxru50ZWbl8vgAImJGZa2PvMr+woKynTjtOOSE/c76p0f3Q3WNkavnufQuKosoi9nzqMzazbHz7TiL55rpymN9+viHRxXH8YkLS3qBgxtc2s49vYHziFe63S1h12nGayjmbGt3qp88NTShTU9Mq41JcBCGZ2z54+FgoFGpKaI3Hs1HRbW1rNzaz6lO0mYeGh03MrN43t6qUrTrtOE3lhE2N7rPntQbGlImJSRV0mUyWmbnNkxKt7u5uVHSlUqnrLp9MRZs5IyvPyyeATmeoZHeddpxKWtb856ZG91Nvv7GZ5es3jRKJRFnBzi75ZottHZ0oKlW+rlXnGxVdHMdT0zIC94UwGEwfv6C0JVth4jiu047TVC7a1OhiGOYfeDA0LILFYoPVc4mXrja+bQoNi/DxDVxa2GtKdI3Es4HRHR4eMSPblJVXmZCs+gf+PdpM6KbTjiNS8ZMnmxpdHMdbWtvMzG0ijp/uHxiUSCQZmbk79M3+98/tb5veq/SvflJojd++gdHFcXzvvmBzS7vAfSFMJmtZ6XTXccsmZw0XNzu6OI53f+xxcff+4y+9P//W+58/ttnYOdvYOR+NODk3N6/SB16Dvr/ulo2N7oPixzsMSPeLilcZKdRRx2kqS2w0dNemi0wmGx0db+/oGvkyKkFRBOGl3EmH6K5NzPW8Sxcdpyl9ILqaUnK949lIte56a7chngfR1VU3QnR11XMaslsz6DKYzIHBwV869wjDMCqVpjKRVUMirCUaPp/PZLKIqbZriUKNe7gI0tc/oPLuCtynQXSlUmlrW4fo20nCalinM0FQFKVSaVKpfD3ZLz3a2jvXLYtqBt3oc3FPa56LRKKent7Gt+9Eom9mimtELAThkSi2LS1tWjLwW/TwUUBgMIPxzRqXH00piqKl5VWzs3MrFQEoigYGhXwZHV0aQIPoPnpSdvV6Mper1vcyfjSNOI7/ulyhpjH9/YPyj79MqX78Rc3biWANrxo/9favkgPjLl5qePV6fejVALptbR1euwPAOrvUtIzwY5HgNSmRYI2coCj6vrmVyWRpyaivRtAF5VHTu+ZVcsOD4seXr1zncrkqMmoKXQ6H4+Dk3tOj7leqVMxQ589flyvUeTqO45pCd3/w4YzMXJWvpSrbMDAw5B94ELCgfP1XnGsA3fBjkffyC/kCwdDwcMSJ057e/pVVT8GKuba29oys3PyC++MTE+D7ZZOTU61tHXNzc0UPHk9NT8tkso89PTl5+Vk594aGPxPfOBseHim8X3w3M6ezqxu0w1EUratvoNHoGIa9aXw7Ozff3Nxa/fS5UChEEKTmeW3KnbvVT58hCA9b/Hz0N3L19vVnZufl5hXMzy/U1TcsUKkSiURxQgMV2uzs3KvXjcBsLoKUlFVev3k7K+fe2Pg4YRWfz6+sqklOSWtsbLpXcB/UuktT1P2xJzM77/qN289f1IEIxWJxXd1LBoPR9K75ttzO5wKBQCJBq6pr9I3I12/c/vx5RCqV0mi08orqO6kZL2rriSWHCMJzcHLv6PygMrVLU+jeyy+MjDrLZssnpeA4Pjs7V/Tg0Z20jMHBofb2zuHPIyiKtra1gxMcx4VCUW3dSyaTiWEYiqIvG94kp6TfvpPe2fWB6DEpO6j7Y49yrpDJZG+b3qelZxY/KlmpuaERG+T55E1TSurdJyXlbe2doNZFEF5t3Us2h/PseW1bW4dEIlnqLBzH371vmZyc6un5lJGZU1j0kM5gYBjW0trm4u4dcfz0++ZW0IVZmr1xHA8LP1F4/6FAsLjy6ZtcqNE/fhZdGo1uZm7zseeTVCp9UVu/y9PX3MI+JjaBy+VeTrpuYeUYFR2z/+BhsoV9Z5c885VVVO32DXJ09nDb5dPb2383M8fc0uFkZLSPX5C+kXlbeweKolVPn5mZ24QfizxxKtrA2PzR4zKhUKTcYHZ28woNO0axcki6emNsbNzHN8jDyy/2QqKzq5dvwP65edX3sdVPn5uZ2wQfCj8accrHN2jrDuPGt+84HC6JYkvUeHX1DU7OHlT5dg283Xv2Bu0/dONWyoHgIyYk68GhYZlMJhAI/AMPOji5R0XHuLh57fLy9fbZy2AwVVL0pKTc0sYpPvFKfEKShbXDpcvyD7cxmEwzcxvP3QGhYcfOnrtgaEK5ev0Wjc44H3txyzYj/8CDjY1NH3s+2Tu6BQQGR5+Lo1g5xMYlEC3YM2fjrl1PVvkAnKbQ9Q3Yf7+oWCCQL7QYHv5sY+/i4xt4+sx5J2cPOwfXtPRMHp8ffChcMalY/m1uGo1mRrbp7JJ/qSwmLsHV3fvqjeSo6Bh9I3JVVQ3oKyk7qKS0gsgVLBb7zNlYWwfXs+cv7g0KsbRx+rDku8GasuFS0jWKpf3xk2f8Aw96+QT8a4vB5NTU6OiYCckqJDTCydmjvKLqYfHjpc7CcTxg78HdvoFePgExcQm2Dq5+AQeYTFZGVh6ZYufs5nWv4L5AIFg2e+M4/uhxaZBiFqdGOV0msp9Ft7auwdrOeYFKBXETTaP2ji4rG6fevn5QZZ2LuRgVHcvhcMoqqvSNzKuqn4nF4rGxcTNzmzeNTaAMCzt6/HxM/PT0jK2Da1l5Fah2npSUu7h7LyxQVdD19d8/v7CAYdi168mB+0LA2loE4Xl4+93NzFFu0ojFYicXz6zse2AJaHFxiZ4B6c3bppXQ7erq3hsYTFPss4GiqLOb14OHj4RC4cPiJ86unpOT8mVGPB7P3WOPh5cfQJdIEY7jZ87GPSh+Akh4UlLu5uFDo9EBurEXEgGNaXezdnn60ukM5QZz2NHj8tVtig7n55EvZmQbIlsX3i/2DdjPYHwzC18j6AIOm5sXRxCizsREyD/NLK+BB4eGjc2sbqekr4QugvC8fQI6u7pBc+BczMWz5y9wOPKGvbObF+EgMCcZdKPq6uW5BRSFGIadPX/hSPhJle6VRmwYGBwyIVkRIyNR0bF/bzMi0E1IvALKwWWdBdD18PYDmerd+xZDE8rQ0GeZTEY0mFfK3mB+tSnJenR07Ff37H4W3ftFxe4ePjT64qp0At3U9Ez/vQfq6huaW1qbW1qTU1IddrrTaPSyiirXXfLcDMonz93+xFRhHo/HYrHeNr03t7SveVYLbqyqfmZgbN7d3cNmc4hhKmc3r6IHcpxwHHf33PPP/QcAFRzH0zOyQg5HKM+eG/kyakKyGhyU15w4jo+NjZuQrFZBF8dxDMOGhj6/qH2ZkZmrb0jOzZPvvXI+Nj7uQiLna58zNi5xj18QQJdIESi/2GxOS2tbSWnFvgOhltaOVBoNoFtX1wAKqfqXr2zsXahUGoEum80mUWwzs/Ka3r1vbml939xq7+RWUFgE0lXzrNbWwY1Kle/aQxwaQbe3T74Ag9iVwsnZ89HjUqFQ/k0jQOCd1IyV0AWF8vTM7JvGpsKiYntHdwX28k0LlB2kjO7FhKSo6Bj2140N3je3kil28/PfLKPXiA0lpRUe3v/OWmUVVXqGZALdT719xGjzUmcBdG8m3wEfUgTtSlAKEOiulL1xHJ+ZnTMlW7cq2o+Es37Fyc+im52T7+MbRP9aIRDoXkxIsrRxDNwXciA4DPx36HAEi8Uqq6jy8QsCuN7NyPbz368ySFtZVWNCsg4IPEjceCA47MMSdMvKK0G1bGWzU3krqaKHj/b4/dseHMf7+geMzSzHxiZAKSgWi8kU26Xo1ta+BA3m8fEJd489ljZORyNOpaVnOTi5gQbSqahzly5fIxqxmdl5/nsPAHSJFIFsamxm6eMXFHshMe7iJVt7FwJdYinSm8YmW4dv0P0yOmZKsvbcHbD/4GEi4SWllaB4ev6ilkyxW1hYbNqAfKARdNs7uoxMLcbGxoE41rbOymKGhh1Lv5utgu4CdbHBjCBI+LFIYzOr/cFhSVdvBh86Suz+5ezmRThIGd1Tp88qawhGj1QqKI3YUPSgWJG1FtspbW0dRqYWBLojI6MgvalpGUudBdAFe2XhOM7hcEjmNirorpS9cRyfm5s3JVu/aXy77Cs9DTL8s+g+LimX17pf94Ih0M3IyDkYHEbUfvPzC+0dXWKxWBndktIKM3Pbubl5kJ7nL2pLSitevW4kUWxnZmbBRYFA8L65hcvlqjSYiZwREBR8O/UujyfvhuE4Hp945cSpM8SgC47jLBabbGFHLCdYVPZrg/nN2yYwuJL/T5G9o3w/uosJSYePHCdacZ7e/gDd5JR05dbd5aQbe/z2qaA7OTllSrImtteoeVbr5LxLHXS5XIREsSWqZRzH2zu6pqdnQOXwuKR8p6sXITJIqUbQ/fx5xIRk1de3uDoncF9IekY20d3w8glITVvs66bfzeLx5SL39HwyNrXs7OouK6+yd3SbmFh843Ip6Vpk1Dmw+dtK6CYnp4aEhhO5ourpMztHV5XWhEZseNPYZGPvPDs7B7R6/qLWwMhcBd2VnKUOuitlbxzHgaQfP8pHf8DTf9G/P4tuW3snxcqeIC0jKy8gSP62c3j4M4liU/1U3qdFEF5w6NGzMRc5HK4yugtUmqWNU3ZOPp/PHx0dt7LdeS+/kMlkuXn4JF29weUiUqn05q1U0F1cCd2y8kpbB9eOzi4URds7ukgUu9q6l2LxN+tvo6JjDx2OoFJpEokk4dLVLduNAbFOzp7Xb95GEGRmds5dPsBmR6XRYuMSA/eFUKk0gUD46EmZniEp/W4Wn88fGBwiWyxGPjA4ZGHtuMvTVwVd0BqvefZCLBaPj08EBB40JVvPzc2DBvPSWlcoFJEt7MCeadHn4g6GHJmZncMwrP7laxLF9uPHHuD+1LSMsKMnWKxv1tBoBF2BQGBp7fTy1WtQRRQXl7i4eg0MDMlksvLKKn1DMujrnou5GBIaPjc/z+cLTkae/WurYWdX95OScrKF/ciXUcUQdIeljVNI6FFQ5KmgS+SKL6NjZIrt4yelQpFobm7e09v/+o0U0C4l8rdGbBCLxc6uXrdup/J4PCaTFRB48M+/9VXQXclZq6B76HDElas3EQRZKXvjON70rtnaZidRIRHp0vjJz6KLoqi9k1t9w6LvO7s+mJKtbe1daHR6VbV8oNjY1PLvrYb+gQfn5+WjSsro4jje+Padlc1OPUPS//1rx/GTZ0B5/Km338V9t54haYeBmYWVQ7eiAFsJXZlMdjcjx9DEQt/IfLu+WU5ewdJxeRaLHXwoXM+QvMPA7PCR4wS6JaUVRqYUPQOSsanlreRUsAvswMCQvaObgTFF35AcGXX+7PkLRqYWTU3yV68VldVkip2xmZWBMeXU6bO+ita+SoouJV3busPElGxtZbuz+FGpKcn68NHjo4oBuaXo4jgefizy722G94seTU3NHD5yYpueqZGp5Q4DUmnZYo8Ax/HQsGO59/4hdloDmUAj6OI4firqnKLZIv+MulQqTbp6Q9/I3MjUwtnN297RDYwwf+rtt7F33aZnul3fLCs7T9+Q3NnVzWKxA/cdUhhssccvKCMrV9+InJmdxxcIVNBVzhUNrxqtbHfqG5n/tdXw9JnzDAZT5WWepmzo7x90dvMyNLHYusM4JjZ+m56pCro4ji/rLDabHbD34LIN5nv5hTv0zSLPnOdwuMtmbxzHM7PzFB2HxZdtGieWiPBn0cVxPP+fotgLicSmigKBkM8XgL4EiqJfvozNzs4TowLEg4kTqVQ6Nj7BYrFlsn+/kMUwbGpqemJySs2JKRKJZGpqevXAdDqDRqMJhUIyxY5oJ7NY7NGxcZVaWigUjY6Ogc/Gy2SyBSoV/dr4QVF0bHyC+KI8kQrlk7m5+dm5eVBhchH5AdRQDkOcYxjG4XCIKRl0OmN0dIzH4xG3jE9M2jm6Ed1R4kZNofuxp8dztz/xjgBsPT81NS2VSom+Lo7jAoFw5Msony/f6JywQcV3NBpdJBIpByBCKucKDMOmp2dUoiJCghM+n68RG6anZ1SylsqDfshZOI5zEUQsFoM0Ls3eKIp6ePu9fPlaJUepPFQjf2oAXaFQtNs3cGhYPnquEZt+aSQSiUQZ3V/6LI1EfuXarTtpGSqtSuKL2MTJz3zVPiYuvloxj1XFYGV0VX5atz+1wQb1E1tb+zI07JsXHOrf+6MhNYAujuN19Q338u8TY0U/asR6hpdIJM6uXks3GVxPG9R/FofDCT1ybEHxBlvlLk3VujiOT8/MRp+7QIzMEQ86FXUuL1+1oU78uj4n2mCD+ik9FXXu06dfOKVU2RLNoKscIzxfHwU0iO76GAyfolkFILqa1XP9YoPorp/WWvkkiK5WukUNoyC6aoi0kYNAdHXVuxBdXfWchuyG6GpIyHWPBqK77pJr1wMhutrlD/Wtgeiqr9WGDAnR1VW3QnR11XMashuiqyEh1z0aiO66S65dD4Toapc/1LcGoqu+VhsyJERXV90K0dVVz2nIboiuhoRc92gguusuuXY9EKKrXf5Q3xqIrvpabciQEF1ddStEV1c9pyG7IboaEnLdo4Horrvk2vVAiK52+UN9ayC66mu1IUNCdHXVrRBdXfWchuyG6GpIyHWPBqK77pJr1wMhutrlD/Wtgeiqr9WGDAnR1VW3QnR11XMashuiqyEh1z0aiO66S65dD4Toapc/1LcGoqu+VhsyJERXV90K0dVVz2nIboiuhoRc92gguusuuXY9EKKrXf5Q3xqIrvpabciQEF1ddStEV1c9pyG7IboaEnLdo4Horrvk2vVAiK52+UN9ayC66mu1IUNCdHXVrZjiwHEcnCi+Ho4QPBPXdTV50O7vKQDR/Z5C8HeogFYqANHVSrdAo6AC31MAovs9heDvUAGtVACiq5VugUZBBb6nAET3ewrB36ECWqkARFcr3QKNggp8TwGI7vcUgr9DBbRSAYiuVroFGgUV+J4CEN3vKQR/hwpopQIQXa10CzQKKvA9Bf4/ugp+vEge8uMAAAAASUVORK5CYII=[/img][/center]Cada ponto neste sistema corresponde a um par ordenado de números reais ( x , y ), de modo que:[br][list][*]o número x estará associado ao Eixo-X (horizontal) e é chamado de o número [b]ABSCISSA[/b];[/*][*]o número y estará associado ao Eixo-Y (vertical) e é chamado de o número [b]ORDENADA[/b].[/*][/list][br]Nas animações abaixo, [b]os pontos (de cor azul) são LIVRES[/b], ou seja, podem ser arrastado por qualquer região do plano.
1) Movimente livremente o ponto P e analise os valores de suas coordenadas:
Questões para Reflexão:
a) Quando o ponto P está sobre o eixo horizontal (Eixo X), podemos afirmar que o valor da [b]segunda coordenada[/b] (y = ordenada) é sempre?
b) Quando o ponto P está sobre o eixo vertical (Eixo Y), podemos afirmar que o valor da[b] primeira coordenada[/b] (x = abscissa) é sempre?
c) Quando o ponto P está no [b]1º Quadrante[/b], podemos afirmar que:
d) Quando o ponto P está no [b]2º Quadrante[/b], podemos afirmar que:
e) Quando o ponto P está no [b]3º [/b]ou no[b] 4º Quadrante[/b], podemos afirmar sempre que:
2) Arraste cada um dos pontos abaixo indicados para as seguintes coordenadas: A = ( -3 , 2 ) ; B = ( 6 , -1 ) ; C = ( 3 , 4 ) ; D = ( -1 , -1 ) ; E = ( -4 , 4 ) ; F = ( 3 , 1 ) ; G = ( -5 , -2 ) ; H = ( 3 , -2 ).
Mais questões para Reflexão:
f) Quais são os pontos que têm a mesma [b]ABSCISSA[/b] (valor da primeira coordenada)?
g) Quais são os pontos que têm a mesma [b]ORDENADA[/b] (valor da segunda coordenada)?
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Information: Sistema Cartesiano de Coordenadas