POTÊNCIA DE PONTO

[justify]A Geometria Euclidiana nos permite analisar os minuciosos aspectos das figuras geométricas, principalmente do círculo. Dentro de uma circunferência, a [b]Potência de Ponto[/b] diz que o produto das medidas das partes de uma corda é igual ao produto das medidas das partes da outra corda. Este conceito nos permite associar diferentes cordas duma mesma circunferência mesmo sem o conhecimento de seu centro e de seu raio. 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[/img][/center][br][justify]Desse modo, dadas duas cordas, AB e CD, que se cruzam em um ponto P qualquer na mesma circunferência, então o produto das medidas das partes de uma corda é igual ao produto das medidas das partes da outra corda, ou seja:[/justify][br][center][math]AP\cdot PB=CP\cdot PD[/math][br][/center][br][justify]A Potência de Ponto e alguns outros tópicos da geometria euclidiana são assuntos bastante frequentes nas provas de olimpíadas nos mais variados níveis de competição, tanto nos problemas mais antigos quanto nos problemas mais recentes. Desse modo, o conhecimento deste conteúdo pode ser essencial numa competição matemática nacional e/ou internacional.[/justify]
DEMONSTRAÇÃO DA POTÊNCIA DE PONTO
[justify]A fim de visualizarmos a aplicação da Potência de Ponto, interaja com o applet seguinte e perceba o que acontece com o produto dos seguimentos (quadro marrom) quando o ponto P é movimentado e também quando o raio da circunferência é alterado:[/justify]
APLICAÇÃO DA POTÊNCIA DE PONTO
ATIVIDADES DE FIXAÇÃO:
[b]1) Numa circunferência que possui duas cordas, AB e CD, que se intersectam no ponto P, temos [/b][math]AP\cdot PB=10[/math][b], quanto vale [/b][math]CP\cdot PD[/math][b]?[/b]
[b]2) Com base na figura a seguir e nos conhecimentos adquiridos de potência de ponto, encontre o comprimento da corda CD:[/b][br][center][img]data:image/png;base64,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[/img][/center]
[b]3) A figura a seguir, encontre o valor da variável x:[/b] [br][center][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATwAAAEQCAYAAAAta8hLAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAEdGSURBVHhe7Z0HeFTl08UPhCSEJIRuQif03quI9N6LCNhQAQtNAbErfxsqqCDYQEQQUOm9V+m99xpaCISSAGkEv3ve967yoQJpu/fuzs9nn2zuRiDJ7uy8M2fOpPvTAIIgCB5AevOjIAiC2yMBTxAEj0GOtEKacfs2wGfXnTcH6dL9/ZG39MZbr+OaIKQVEvCEJBMXB0RFAdHRwI0b+nbzJhATA8TG6sfvviUm6huDIPHy0rcMGQBfXyBjRv3RcePnmTLpm78/EBAABAbqG/8/QUgOEvCE/yQhAQgLA06eBM6c0bdz54DLl3WwY9AjjiDl4wN4e+sb7zsCF+8zsDGLY7DiM84R/Ph3MCA6AiU/d9wcwZL3+Wcx2GXODOTKBeTJA+TNC+TLBxQqBOTIof98QbgXEvA8mOn7L6pjZKti2ZHBiBbh4cCOHcD27fq2dy9w/bo+ajLAMLDwVqDA3zcGIQYzR8bGGwPPnTfHUfXuIyufeY6b4/jrCISOjPDWLSA+Hrh4ETh1SgdffjxxQt8iI3UwDAkBKlQAKlXSt9KldWYoCHciAc/DYLbEo+eVm7fQZOoOHL58E9misiBwTVHEnM6kMjIGsooVgcqV9ceiRXVQsSLXrv3/IL1rl85ASZEiQPXqQJ06OgAyOPOIzO9FjsWeiQQ8D4DHT2ZGx48DBw7o27Zb4TgYehS3MySiQkA29C5QDBVCfVG4MBAUZP6PNoTZIY/dR48C+/frLJXfO2uM/L54BC5bFihWDAgN1cdiCX6egwQ8N8WR+WzYAOzcCXVcZf2LL/Tg0ARMiT6CnXEX4efthaENCqF3tTz/OHK6AwyAPA6z/nj2LHDsGLBnjz4W8/tlgK9WDahVS/9sJPi5NxLw3IytW4GffwaWLQOuXtXH0mbNgLp1gYce0nWtteeu4Nk5h3AmKg4Fgnyx8flKCA7wMf8E94Z1QWZ7rE0eOgQsWACsXKmzQh7lu3QB2rfXNUvB/ZCAZ2NY0OdxlZkLX7hTp+oXLutujz8OtGgBZM1qfrFJ7K3beG/VSXy27rT6/L1HC+D9ugXVfU+FP0ce82fMAKZP191nZn0MfqwBMjNm7Y8NGMHeSMCzITyusj61cSPwxx+6SM+MpHZtoF49fTT7rxfn8SsxaDxxN45diUUuf2/s6FUZuQMt2pFwAZTHsAywfDmwbZtu8JQsqRsfzJZ5BJZjr32RgGcjWIdjJrd0qc7k+OJr0AAoVUp3UinOvR+frQvD68tOgL/0N2vnw0cNQvUDwv+Drwr+vA8e1GUCvrHwjYbZc6tWQM2aOusT7IUEPIvD3w67q99+q49clI08/TTQpo3O6hjkHrTZcDMhEYVHbkL49QSV3a3rXgFFssur9n5QysNjLo+9Y8fqml/+/MDzzwNdu2qhtWAPJOBZEHYWOa7FKYdvvgHmz9fH1B49gHbttNA3OYzcdAb9Fh0D4+MLVXLj80ah8PeR81lS4KuFv5dx44DJk/Ub0Msv63opm0KcKhGsiwQ8i8Gj6vr1wKJFwL59WjPWsSPwyCOAn5/5Rcng4o0ENJiwC3sibuAhfx+MbV0MLYplV8FPSB4REbrJwd8V36DYCWcNtVw5LXIWrIcEPItArdi0acCcOVo6wdocXzzly6fOlMO4HeFGdncUN+IT0bxoNvzYujge8hApSlrCVw8D3+bNOhPfvVvXVJ94QjeRkpuNC2mDBDwXw/rQzJnAsGE6Sxg4EGjeXMtJUut4FHkzAT3mHsasg5eQydtLHWV5pHVHobGr4KuIvz9KhEaPBubO1Y2N99/X5QjBGoiyyAWwRsci+KpVQMuWwFtvAW3bAps2Ad27p24tiO9mW89HY/PZaHU/ONAH7UvlkGCXyvDnyQZS8eLAiBE6W6e4mZn6a69pkTNNEATXIhmek6HKf/Vq4Ndf9ZgTj608/jALSIsgFJNwG2+tOI4vNxqph8FH9QvhzUfyq/tC2sI3NkqIJk3SjY7GjYHWrbWuT7R8rkECnhOhkPW77/S7vePJX6ZM2ir4j12JQf2fdyHsWhxCAnyw84XKyOUvtTtnwhE/ipl/+UUbGXTooN/k6OsnOBc50joBera9957WzlHJT03doEG6m5fW40pT9kTgtBHsSK/KIRLsXECWLEDTplpixPIFRwBZwlixwvwCwWlIhpeG8PjK7t3bb+v6zQcfAE2amA86geg4LTS+eDNBmQNseK4iCmbJaD4quAp25L/8EpgwQT8f3nxTGxdIRzftkQwvDWDnlZZMfCIzk6MolXITZwY78t3WcyrYsTbYqVQONV0huJ6cOYGPPtIaPj5XevYEfvoJuHTJ/AIhzZAML5WhNGH8eOC333R9jmNgtBx39vjR+eh4NP5lN/ZG3EDuQB+MaVUczYpmE6GxxeB8LiUsEydqV5bevbVRgXTR0wbJ8FIRzrzSS43zln37Ap9+qu2FXDFrOfdwJE5cjVX3K4cEonqeQAl2FoQuzLSh+vFH7b7crZsufTAQCqmPBLxUgFkd5yobNtRP4Fmz9DiYq8aLLhnHWAY8TlUE+HipJT3ZM8lx1qpQosJgx7oezVtnz9bH3CNH9NSNkHpIwEshhw/rDuwPPwCDB+vAxwK0q2B9YvPZKGw/H60+Z5OiVfHs6r5gferX1xrNbNmAJ5/UGj7HUiIh5UjASyZ0yWXR+YUXgAsXgM8+03ZBru600QJq4ZHLOH9dy/qfLv+Qx9i3uwOs3dHb8OOPgT59tITpjTe0dlOq7SlHAl4yoK36kCFAv35aPDxqFFC1qjXU83RFmbr/onpx5DSOsb2q5DYfEewEZ6lZ26NYmc833t+yxXxQSDYS8JIIt19RakLnYWZ4/fvrup1Vumrjd4bjghH0+M/pVz0vAsXvzrZQlE5Xa07n0FCCDTF2c1kzFpKHyFIeEOql1q3TR1cGOGrsKDuxknzgwo14VPxumzrO5g/yxcqnyyM0awpM9ATLwOfflCl6WoPeiDQdZa1Y5CtJQzK8B4CuF5SaMJvj/lJaOdGY02pPtrHbzv9Vu+tQMgdCAmQ5j7tAadNTT2knFlpQvfqq9t4TkoYEvPvA8TDq6ehx9skn+jhrxZ2lzO5+2nlB3c8b6IsmRbIho7f8et0Nro/kG25IiD7icrua8ODIK+IeXLmiDTlp4U3ZCQfAU8N9OLVhUWL6/ksIN7I7Jp1V8wSiSogIjd0Rnipy59aZHjM++ieyrkdTCuH+SMD7F+hjtmsX8Oyz2s6H0gAeZa1aL4kwsrsFRyKVJIVLeURo7P5Q/vTuu1otMGaMVgqwmyvcGwl4d8Fgt3YtMGCAVr+zSFylivmgBWHHacu5aGw9d13dL5QlI1oaAU9wf/gGTF+911/XpxBaT8lI2r2RgHcXtHNiB4ydMM40FixoPmBRbsYnYv6RyyrLI89XCkZOcUXxGNjMoAvPF1/obXfU63GpkPDvSMAz4eQErdc7dwY6ddJjYjRutDrno+Mw48BFva8iwNsIeCH6AcFjoOCdZrKLF2uNHh1XTp2SyYx/QwKeQUyMFhFzlOell3Sw44JlOzBuZ7iR3Wmh8as186qtZIJnkj27nuVmAHznHb0zRfj/eHzAoxPx778DI0cCr7yi9U1W7MT+G+eM7O7HHeHqfmjWjOhQMqe6L3gu7ODSXJRTGhx95Ayu8DceH/C4Tu/zz/UxgAVgV3jXJZcftp5X2R3pUConcgeK0NjTYSOjUCGt1aM92eOPA/v2mQ8KnhvwOKrDYyyFxNTasXZnp2BHzd3Pu3R2ly+zLxqHZkXGDFKhEHTQy5FDGw9wIoinloMHpaZHPPIVQpEmMzv62HEzPAWcab09LDXhE3fqvghE3ExAeuPJXSNvZlQIDjAfFQQNtXoUKOfLpxUHJ06YD3gwHhfw2I2l0wmFmtwIT3GxnYIdOX89DguPXlFLtpXQuLgIjYV/hzZTbGDwOU5t6blz5gMeiscFPHqKMavjch3WN+y4AX7ruWjlaswTCo+zbcTRWLgH+fPrOjUnMXia8WSdnscEPB4D9+wBunYFHnsMeOYZwMeGRsDX4xMx7/BlRMbcUlKU3lXzILOvLDQV/hvW9IKDdc2aqgTWrT11JaRHBDwGO+6J5fGVy3VYxLVjsCMnr8aqBT2kUNaM6FYul7ovCPeDPo5cEsRgx9qeJxqJekTAO3pUH2MffljXMzJlMh+wIXQ0ZoeW9Ksu2Z2QNGgayh0ZnBf//nvzogfh9gHv1satWNbpO2QPjFcuxVx2bFc4L/vDVl11LprND21LiNBYSBpsXtSsqRsYXAtJ6Yon4dYB7/bR40ho3gbP7R+I7woORS7vK+Yj9oPH8hEbzyI64baSonQslQO5xCRASAZs1LVsqe2lmAQsXapdgjwBtw14FBYv7TNH+eX4JNyAz2cfah0KtxvbkLBrsfh1n26v5QvKiEah2URoLKQIrhV98UXt6E3/R08QJrvlK4a/OGrt3jz6LK4N/ki3qBgBf/xRL5KlLYqNfrv8l04/cBHno+O10DhPZlQMEaGxkDLYvaUVWunSehTt6lXzATfGLQPe3r36XevZ/pmR8x3jLYwunhwwZJBbtQro1QuYP982efzZqDgsPnYFMbduI8DHC21KZEeWjNKsEFIOa9p9++rOLTfyuTtuF/C4h4LOJ6VKaZGll58P0K4dMH68vkhoIcEHf/1Ve0NZGGZ3FBlTbEwKGsdZWrjfD27fvHjxIi5fvmxe4UKim4iIiFCPCYID7r5l55YNDNpLJSaaD7ghbhXw+Ivi0mKaH1JrR7eIv6hTB5gxA2jdWpvdMTJSmEcvHW7XtigUGlN3dznmlvq8b/U8Ksu7H4nGD+M744fxrPE9nj59GnFxccY7+GcYPnw4bnG+ThDuoG5d4H//0zcegtz1PdHrfQPzvu2hIQCtrj/+GKhaVdco/h+0kHj0UX2UpWcOlZf0dGfAK1lSP/6P/8m1HLp0E++sOImbCbdRIkcmfNm0MHwfoFmRPn16I6EthYULF+LAgQMqs1uwYAE+/PBDZMuWzfwqQfgbOqtwBzMPPtWra0NRdyOdcbxxi1jO+NWmjV6Wzc7TPWdk+VvlqieqkBn0aCtRqZKWoZcoYX6RNei74Ci+3nJW3f+2RVG8UCW3uv+gHD16FE888QTOnz+PSZMmoXbt2uYjgvBPWMuj83doKPD224Cfn/mAm+AWR1qeTocOBSpX1kae9zUECAjQ9sZc6MkOLs/CzPR47F2xAsb5z/xC18Ku7Ngd59V9LTQ2MtAkwqNtfHy88cT1M474d57xBeGf8JDDzq1xMMC6deZFN8L2AY9qE6bgFy7ooJck2MxgXY/HXA7XXryonQU4c3NHsd8VMO3+YsNp1Zn1Sp8OnUvnTHJnlk2Ld4wstmvXrujUqRMGDBiAsLAw81FB+Hd4nGVPj7tdbCpb/U9sH/AoQWHAe+45bYOTZPjbHT1auwow6EVG6sotHRNdGPSOXY7BjIPa0qJAkC8aFk6ao3FsbCyGDBmCnDlzomfPnujbty+yZ89uPIkHGxmxfSdOhLSHzt+0TyteXDuruPi9P1WxdQ2PvYfGjbVwktldsusN/BFQdckgxwFDwk0+rHdNmQIjauhrTuTTdWF4f9UpxBkZXufSuTCmdbEH6s46uG38cC4YaW+AcXx3HGWvGt/jjRs3jFN8sHHsf/A/S/BM6JtXrx7QvbuevbVYPy9Z2DbDY9mNsYkNVkpQUlRc5W+S1rBs8VKkzPYUjcOWL9fH3a1btVWykzh9LQ5Lj11BrBHs6IbSvmT2JAU7wi5tSEjI/6vbZcmSBXny5JFgJzwQuXJp41D66G3f7h5SFdsGPDoXU3P34Yfa8ibV4IAh/2D26Gktwe0nzO8d7olpzG3jSbXhzDXsCL+uPi+Rww9NioiMRHAN7OM5BAw3b5oXbYwtAx5T7a+/1o4PbduaF1MLFjCob2GmxyMt39b279fFDA4cpnHQu3GX0Lh3NfG8E1yHv78+0u7eDSxZYl60MbYLeKzbLVqkj7JUllBCl+ow6NWqpZXMXbroa6dP63SS3ZE0nLKmK8qcg9rRuFh2P3QqLZ53gutgtadiRT2g9NZbWgJmZ2wX8Lh1adw4HXfy5jUvpgX8TbNZMXas7s+zFsa5WzYxeMQ9fDjVixr800ZtPosoI8ujK8rAWnnh62XbqoPgJrDkS78NavRef92p5exUx3avJjo88QfP7ixLbGkO/eDpkkipCiMsuyXz5qWJzdTxKzGYvFd73nGMrEXRpAuNBSEt4NGWbirLlmltvl2xVcBjs5TDEczuOCDhNOihw3m1b78FypTR5+qVK3XQYwSm+jkVoKNxVJzO7h4rlRPZM0ntTrAOlKyywsOnvF1XPdom4HHaixY27CM0bGhedCbU5bVoobu1DRroa7SZoosy3QpSuALqSGQMZh3SQuPCWf3QIDSrHGcFS8EqT8+eQHi4fR1VbPGKYkL122/AsWPAJ5/onoJL4G+8WDFdROQIGoMgq7j8R3HSOplve7eNZ87U/RG4eCNBZXfV8wSiYrA4GgvWI3duvcCeJy1OYtoNWwQ8NkgZ8Kj2DgkxL7oSzrCNGqVtJShYZvpJ11F+nozlAGEUGh+/+pfQuINxnPVPotBYEJwBVRFNm+rGxaxZ5kUbYfmAxx4BtyrxB81xV8vADi4bGcOHa/t4pqG///63ffwDtrIoNN54Jgo7TaFx6ZyZ0KBQFnVfEKwIhf6dO+v3eB5v7YTlAx5PjCyb0djEBSOt94bzbE8+Cfzww9/28bSZor8OU9IHCHrX429h9qFLuBqrv5aOxoEiNBYsDNURnTrpzq1j9NwuWD7gsQ3OJigtqJ0iQ0kqTD3ZRaE+jzbL/EfSgonVXY6o3aeZceJqLOYe0nYUxbP5oWNJERoL1ofBjnttuQPjwAHzog2wdMCjLQ1PjBwfS9V52fvBCJtUqUm5csDMmUDXrlqkzMHDfv20aJndlv+o643ceBY3EhLhlS4dBtfOb8TLdOYjgmBtmjXTprvcjxUba160OJYOeHRhZ2mMDVE2SNMcNhy++kr7xFP0l1Ty5NH/P+duef7mP57HXf55/2I3ceDiDUw9oFtdZXP5o0mRrOq+INgBHmYGDgQ2bNArFuyAZQMeN4/ReJg/UNrUOIU5c/TIGOtwZ/UeiSTDBTkOo4GgIJ0p0i+bFrK0eLmDEZvOIjouEYzlj5XOgZyZfPQDgmATypfXSi3OtzvBTCjFWDLgMTHi3D6TJHaDnAaX+tAggJlaSuAaSAa4uXOBggV1ZkfHFQqW2YGJicHhyJuYfehvk4C6hbLC20uOs4K9YPWGxgK0jrSDLs+SAY/JFZsV3IhuyUbFg/LIIzrosdjBIMhtad2749bwL/Db6gOqM8va3cP5g9SRVhDsSJUqeuR88WLzgoWxXDhhMrRxo/7omOCyNfSfp2DpmWf0ZEZ0NHaPnYjpf+w1hcZeaFciR5IdjQXBKnAYgO/ptJC0ukmo5QKeEQ+UGUmjRtoVxfaw28Iln7SaGDIECV5eWJE9P/Zmekg9nNs7Ho1CpVkh2Bc+xanLo00ktfdWxnIBj80K9g24SiJNzD1dBYsdgwcjfPoMfFChDhJ9jCPun7cReXYGNp7ZjYTbNjYZEzweNhaffRYYMSLFPhppiuUCHlUc7PzwJOh02FHlXCy7Jo77qUxYcAhi920DjmwCLh1AuP8+9Jg7DJN3LzOOuDZocwnCf8B1MDzSLlhgXrAglgp4nMujgoO7KlK0hSy5cDKid29gxw69q5Z1t6QKkO/D6BFfIn7zbKSbOxzl/HcBXn/iyOWzeH35GHy4ZiJiElI/yAqCM2CWxxFQSlSsWsuz1F5aStd++UULGV0S8NhXvzsf54hHKqmeDxtn9bJlyyI+Ph7VqlXDz79NwvDdM/HjjoX40/jP18sbzYtWx/ctByCnvxgICPaDAuQePbSZELedWQ3LZHiMMxxRYR3AJcGOUPhH3dydt1QKdlyM/fnnn6tgx72w7du3R+E8BTCyeT8MqfcMsmQMQFxiAmYfWoduMz7EvosnlU+eINgJSljpnsZBJVaGrIZlAh5XwLFk5lgS5m4cPHgQC8ziRrFixVC3bj14e3vDL4MPXq35GIY26IlCWYJVkFt2fBtemPeF+mihBFwQ7gt7c/Xr6w0IUVHmRQthiYDHZWA897N2ZzkLqFSA2d20adMQGRmJ9Om9UKNGTZQp83dXxt87I56t2AzftxqAKrmLq+1la8P24MX5X+CbrbMRdyt164iCkFZwwxlNg7hd8MQJ86KFsETAo5kIz/7sEbgjJ4zf/PLly40MNg5BQZnRoUN7+NNf5w68vTKgYWhl/NrhXTQrUk3N1x6/ch5vLR+L91ePR3ScG6x9FzwCWkNSesrxUKvh8oDHExvHTLNnT+M9sy6CR9LNmzdjBzu/BkWKFEPD/9hClM74r3C23Pix9Wt4slxjZDSOu9fibmD4+t/x+rIfcOG69s0TBCvDgaJ69bQXRyqLHFKMywMej7PsyjIN5vnf3YiKisLMmTMRHR2NdOnS4bXXBhpPCOMZcQ9CArPjq6a9MaBGJ+TIlFmJkr/dOgcvLfgK284flrqeYHk4OMCpKW43sxIuD3j8oezdqweQfdzQHenIkSNYwo6MQcWKFdG8eXN1/35k9QvEO48+jS+b9Eax7HmVbGXGgT/Qc+4wzD64FrdkMkOwMOzUPvwwMGGCecEiuDzg0XOTlCypP7ob33zzDa5du6bu9+/fH5loK/GA+GbwRpcyDZQur2yuQurajvNH0WfhSPyye5kR9BLVNUGwGlRzcd3LmjXJt5ZMC1we8LjrpmxZ/Y7gbpw+fRqTJk1S98uWLYfGjRur+0nBK3161C1YAb91fA8185ZSn5+JvoQX532BrzfNwPX4GPMrBcFa0ACEmlpKVKyCSwMej7OrV+sFPamk77UMrLM5hMYZMmRAp06dkCVL8qcnSuYsgBmdP8BT5Rsjs68/YhMTMHDptxi89HsciTyjjryCYCUoUaE56Nq11mleuDTg/fGH3mRYo4Z5wY04dOgQ5tL806BQoVDUr1/vvs2K+xEckA3DG7+EN2p3wUP+WZVIecz2eei36GtsPXtImhmC5aC29uhR6xxrXRrwuLm8WjX3FBuzMxseHq46s5ybrVChgvlIyuAIWv8anfB54xeQxTcACbcTseTYVjw18xNsPLvf/CpBsAZFiuiPx4/rj67GZQGPs7M82zPldbfj7KlTp7B06VLExsYiKCgIHTt2+IfQOCVQn0ed3oInhiI0S4i6djAyDI0mDMTv+1aKzZRgGSg1y5dPe1xaYbbWZQGPw8WcnU1GHd/ScIxs48aN2Llzp/q8ZMmSxnG2vrqf2tTMWxpzu36sHFY4k3sjIRbPz/kcw9b/JiJlwRJQlEDJ2bZt1jAGdVnAo9iY3VmnrWB0EjeM3+q8efNw5coV9XmfPn2QOXNmdT8tYDNjRNM+6F6hmcr8ouNj8Pn6X5W/3rnoS+ZXCYJrYOOiRAng5EkPDnj8xqm/a9LEvOBGnDlzBnM4U2NQtGgxdOjQQd1PKziOVihrCD5t1AvvPvqU8QtNh6i4m5i0exna/PoWTlw5b36lILiGQoWAxEQd9FyNSwIenRTYteH4ibsxatQoNU6WPn16DBo0ED5OGh8J8PHDG7W74fdO7yN3QHYk/pmIrecOo+74/lhxYjsSEmUyQ3AN9MjjjaoMV+OSgGckQWpN60N6cZfbcNJ4C5s8ebK6X6xY8QceI0tN2pZ4GOPavIZquUvCK116hEVFoOfc4Ziwe4nYxwsugWosOqisW2decCFOD3iUioWF6dqdy5yN04jRo0fj6tWrSGcEmk6dOiKHC/ZMeqX3QsPCVTC6RX80KVJNXTt25ZyymRqyejxuyGSG4ALKlQN27wZiY80LLsLpAY+d2QMHgOLF3Svg0fNu6tSp6n5oaCFlAZVSoXFyYWZXKaQoJrZ7E/2qtUf6dOlw4cYVfLVxOrpM/wDh0sEVnAwDHl/7pkuay3B6wKMdFJXX7Ny4izsKJxymT5+OiIgIJTSuWrVqqgmNU0I2v0AMbdQLH9V/Xt2PT0zAvCMb0W36h9hz4bjszBCcBrV4nJd3tV2U0wMe17dRscEiprtw7tw5ZQEVY0RzSlDatWuXplKUpECpSt/qHfBpw14IzZpbBecVJ3eg17zhWHx0sxH0LLhpRXBL2KSke4orcXrAu3BB1/GCg80LNocBhI7G27dvV58XKVI0Wa4oaUkmb188U6Epfmg5AFVzF1fXNpzZjxfnf4mvN8+UyQzBKdSsyRlz1y73cXrAY+EyWzb3mZ+9fv26Mgm4fFnXxV566cUUuaKkFRnSe6FeaCVlM9W2RG2l3zt17QLeWTkO76wYh2uxFlCFCm4N99TyhOdKPZ7TAx4FxzzOuoudO4+zFBoz08ubNx+eeOIJ8xHrwZFlipS/a/GKkfE1gV8GX7Uc6KtN0zBo6bc4fz1Sf6EgpAGs4wUE6Bq+q3B6wON2MoeDgjvw/fffq/WLel/FIKcJjVPCQwHZ8EWTlzGoVmfkzJRFOSeP3T4fL8z9AlvOHpRmhpBmlC6ttxS6CqcGPJoA0jWhcGHzgs05e/YsJpim/RQat2rVSt23A7SZeqvOExjRrDeKZ8+n7EPnHF6PHnOHYcaBNTKZIaQJZcrogOcq5xSnBjymstTiuEuGx30VzO5I+/btEGyzToyPlzceK10PY1sPQqXgoura7gvHlaHoz7sWS9ATUh2qtc6fB8w1L07HqQFvzx4tNi5QwLxgY84bvzXHvooCxjfUqFEjZOS8nM2gSLl2/rKY0vFd1M5XRu3MOBcdid4LvsIXG35HdLwsABdSD2Z4lKVdcpGRj1MD3sGDQMGCerbOzrBBwamKixcvKpOA6tWro3z58uaj9oSrILkzgzZTPO7GGdndG8vHYMDib3Do0mn1PQtCSqE8NUMGHfRcgVMDHjU4HCmzO8zuFi9erITGdDJu2bIlslFrY3Ny+mfB541ewBu1u6qdGQxxP+1chL6LRmLT2f3SzBBSjLe37tRevWpecDJODXhHjrC4b35iYygyptiYWU+ePHnRmj71bkJQRn81mTGyWR9k98usOrjLj2/HUzOHYl3YHvOrBCF5UMTAbQdun+HRJYFTFjQDtDMOR+NLZhGid++X1d4Kd4LjaGxmLHriMxTNqmcAj1w+g8a/DMKkPcvEZkpINszweKxlwHNFp9ZpAY/BjisZWcOzM2FhYX+tXyxQoCC6deum7rsjVXIXx9xun6BVsVpqPI0jaL3mDsen66aISFlIFqzf0QczIkLHA2fjtIDHb5A6PLt3aNmZ5XQFYXZnxTGy1ITNjK+avoxnKzRXmR8XBX2xYapaAH7mmvFLFYQkwAyPXpiOeOBsnBbwKFdjd9bO8YHmntTekULG2bxTp07qvjvDmdsCWYLxScMeGNqgh5KxUKoyZe8KtPr1LXXUFYQHJb0RcRgDqMPjngtn47SAx9l6GgbYeQctHY25jYxjZFzOk8vdVq7dA+7M6FejI2Z0/h/yZs6pbKV2hh9FvfGvqEXg8SJSFh4QNi1Y03frIy2LlHZ2SKEUZeLEiep+7ty5ldDYz9086h+AFsVqYnybwWonLkXKZ6MvKW+98TsX4qZx3BWE+8GAFx/v5hkeU1g7S9Vmz56tVjBqR+NqqFy5svmIZ8Ejbb1CFTG6eT+0LFpTXTt5NRxvrxiHd1f+pNxXBOFeME9w+4AXHW3f+h2t2xcsWICbN28iICBAmQS4g9A4uaQ3gl754CL4qe1gDKzVWe3MuHjzKr7ePAOdpw3B2ShZAC78N5zAZMPC7QOeHeVqFBdv3boVW7ZsUfdDQnKjTZvWKtPzdLJmDMSH9Z5T9vEUKdNsYNHRLeg6/QNV35PJDOHfYPPSrQMen/d0OrXImockwfExjpGFh4erz3v16ons2bOr+4Lx5M3gjd7V2mFY4xdRJFte/Gn8tyZsN3rOHYYFRzYiUXZmCHfBgMdg57YBj98Yz+wsVtoNNitmzpyp7ufJkwdPPfWUui/8DfV5T5RrhDGtBqhmBtly7hBemv8VvtowDTdlMkO4A2rxvLz0BkNn45SAx/SVLWg7BjwKjdmsIC+++KJLlmvbAe7MeLRgBUzu8DY6lqyj9HunoyLU8m8uAb8ae938SsHTYcDjxMUNF6xRcUrAY7DjLVMm84JNiI6OxqhRo1TtjuaeVt5XYRUKZgnGNy1ewfOVmqtxtOj4GNXMeHXxaJyLlmaGoIMdb26b4XFImMdaRnY7wX0V9Lxjg4JTFTndZdVaGkObKdb0Xn+4i7KZYh2PNlPPzxmGTWdoM2W/ut7asD0Yb3wPjtvKEztEbJ1MOG3BIy3LXM7GaQGPjQtGdbtw4cKFv/ZVhISEoGnTph4pNE4umX398XrtbspmqlROPUC98OgmtTNj6r7VtgsWP+5YgIm7lmCjEbB5OxR5Gom3XVB1dwMY8ChycOsuLYMeo7pdoAXUiRMn1P2KFSuhWrVqIkVJIt5eGdCh1KNqZwYXgPOntzfiJPovHoVxRgCxWtBbcmwL1p7abX72T7qUrY/hRubKGxebZ/S2/oY6K8KXEYOe2wY8B3aRZXFelgGPS7a1o3ELaVYkE05msHM7pcO7qFOgvBpHC79+GX0WjsRn66ak+WRG2LUL6Pj7e0oiw6P0ldhovLHsB8w7vOEfOsG1YXux9fxh87N/kmBkdInG/+ObwUd1ptmYEeyFUwKeKyN6UmGDgiJjio1Jvnz53crR2FUUzpYb0x8bgh6VWiBrxgDlpPzOynHou/BrHLh4Sv3c04KQgOxoUqQaRm+epf6eKXuWIzImCtXzlFQTIg9KgaCHsObkLgxZNR4/7ViIiBsu8ih3A/irdtWJz+t9A/N+msHi5OzZemMRF/FamdjYWIwZMwZLly5VL8L+/fujRYsW5qNCSsjknVFleQHeftgTcQLX42Ow9+IJ7DcCUREjINKFJbXLBswoC2fNbRylj2OSEey2njuE/9XrjlDjGll/ep+qz606uROrTu3EqavhOHr5nPo8yNcfIYFaZM4/g+N0Wf0CMP3AGly6eU0ZpFKOIyQN4+CEWbOA2rWB0FDzopNwSobH7M5VXZmkcvnyZUybNs14B7qNoKAseOmll8xHhNQg0DcTXq7WDqOa90OOTEEq01tpBJenZw3FaiODSgu4pyN3YA6sPbUHWYz7Jc0mCsmRKTPK5iqkbrn8syLYyAgdn2f1CzS/ysj0g3Khcu5iaF38YXVbdXIHrie4QFfhBrhSteGUgOdK3U1SmTx5srJxJ3Q0zpo1q7ovpB4cR2tf8hEsfeJzFM+eT5U8jl05h6aTBivJR2pOZjBL33h6P1Yb2du0x97HUePvGbttvgq0pJjx97OxwlvJHAVQwcjiHJ9TU+jAIaVJuH0LETevqD9XanjJw5W6XKcEPFcqq5MCmxUOR2NKUURonLZUCCmKeV0/QdvitdVxNz4xAS8vGIGP//gl1UTKrLUxiLYv+SgaFK6C4Y1fwtT9q7Hm1K4H1gNyl8e8wxvx694Vqha49NhWtDMCNk1RhaTjmLxy24DH4yzXs1k94HGM7OTJk+p+mzZtkC9fPnVfSDvYzPiyycvoVbkl/DL4KBPREZumY9CS71Q9LaVoaUwdI0DVhnd6LzQygh737lIcfTcMYo2Nx++GdUWaIhw3skMGyVdrdsLjZerDx/izhaTjcEpxhaw1nZGaO0Us0ru3XsA7dKh5wWJERUWhVq1a2Ldvn7JuHzt2rFqwLdo753AjPgY/71qMvou+RuLt26oZUDJHfvzW8b3/V3NzFZwWuWW8StOnT6/+bfKsSD67dwN9+gA0EM+f37zoJJyS4ZHAQO16bFXoaMzaHQNclSpV1E2CnfPwN46HL1Vti7mPf4z8mXOpTIqd3PoTXsWCI5vUcdeVUE/I2iOzRHlWpIy4OF3mcoUsxakB76pFpUus3XHXLIXGHB9r0qSJquEJzqdxkar4ud0bqJ2vrMqkKFJ+cf4XGLt9vsoCBfvDBT5uH/DodszNZVZkx44d2LRpk+q8BQeHoF27duYjgrNhJkWt3qgW/dCuRG11LexaBN5bNR5vr/gR12ItXggW7gvVGqzpu3XAo7rj4kXzEwtBoTFFxg7Pu27duiJv3rzqvuAaOAFRNlcofmg1EG/W7qaCIIW+o7fOxmNT31cBULAvbF66fcDjzhsGPOe0SB4c2j9Nnz5dCY0DAgLRu3dvqd1ZhCwZA/Bu3aeVlESJlBNvYenxbegy/X/Ydu7wA8tKBGvBgMdFPq5wT3JawOMaCBYrrVbHY7PiyJEj6j73VXjScm074OvljV5VWuELI+hRpEx5CMfBes4bhrmHNohFk83glAVjAEtcbp3hMY6wUHnqlHnBAtww3mpGjBih7j/00EN4+umn1X3BWtCZpGvZhhjTeiDqFCinrm0/fwQvL/gKwzf8jhuyANw2UIMXEfF3PHA2Tgt4RjxRKayp67UEU6ZMwbFjx9R9au4KFSqk7gvWgyYAtfOXw8R2b6JLmfqqznc2+hI+WDMBry/9HpdjosyvFKwMJywuXNABz62PtDyzM+iZnpouh9mdY18F52VbtGiplmwL1iZ/0EP4ullf9KrcCv7eGXE9PhbfbJ2D/otG4UyUBbtiwv+DGV6U8d7EJiZNRZyNU//KYsWAw//tr+hUHI7GbFBUrVrVuP1zpEiwJtkzBeGzRi/grUeeUH53bF5M3L0Uz87+FOtP75VduBaGjkm0h3KVJ4fTA96hQ+YnLuTq1auYM2eOEhpnNFLPxo2bIHdu7Y8m2AMO7g96+HGMat5XSVgIO7jcmfHbnhWIu+XayQzh32GGxy5tln+OMjsFpwa8EiV0DY/dWleya9cubNiwQUlRsmXLhk6dOqoZScFecBKjbYnaamdGjbyllF3TgYtheGXJaIzZPs/l42jCP+FxlnU8j8jwypbVKmtXdmrjjGi7cuXKvxb0dOnSBfmdPcEspBrp06VHtTwlMKXDO6hXsKIKgrSE6r94ND5a8wui4mQyw0rs2aM1ua5aEePUgFekCODrCxw9al5wAREREcrRmGQx8mpxNHYPaNZJg88XqrRCNr/MSp/3vzUT8NL8r7Av4gTuXtgjuAbjcIXgYK3DcwVODXjU3bCO58qAt2DBAhw8eFDd79atm0hR3Ahasn/coAferfMU8gTqFOK3fSvRe+FIrA3bLZMZFmDvXqBwYSPwuKiC5PS/lkt8TOmb00lMTMSwYcPUx8yZM+PFF180HxHcBTYzXqjaGt+2eEXtqKCV+5pTu9XOjOXHt5tfJbiKfft0wHMVTg945csDZ88C0dHmBSfy66+/GtmlTi/paCy1O/eE42ititfC8qeGo1TOgkqkfPJqOFpMfgNjts1TrsqC8+GqGEpSWNpyFU4PeOXKAZGRzndOoaOxY18FhcacrBChsXtTJlchzOvyMTqUrKNEylzA03/xKAxZ9bMSKUtVz7lsNxJsf3/AlVUkpwc8Tlvw/B6e8nUFSWLZsmXYv3+/ul+hQkXUqFFDXFE8gIJZQzC88Yt4qWob+Hn7qo1oo7fMwoDF3+DElXPmVwnOYMMGXcOnGbCrcHrA46YianB4rHUWHCObNWsWrl2LMoXGjZLseccRtHPn/vkCiY+Px6FDh5Q9PHV9grXgW1qezDnxXt1nMLJpH3inz6DMBmYc/AOtJr+pFnQLzmHNGqBOHfMTF+H0gMdNRTzDs1HqrMXcO3fuxMaNG42gdRs5c+ZEhw4dHlhozGmMjz/+WO244JKfO1m7dq3xjlVM1QNr1qyp/twYOyzf9UB4pH2+UgvM7/aJkrBQprL/0ik0mDAQcw6tF5FyGnP6tK7h1a1rXnARTg941OGVLKlHzJwRG5iBUWh8/Lh+J2dwKlq0qLr/oLC5Ua9ePZUd3gmDHWUuu3fvVtq+devWYfny5eajghVpUKgSJrR9A48WKGeKlK8om6nvts7FddmZkWZwUxlf+xUrmhdchNMDHstmbI7SE8sZAe/y5cuYOnWqkqL4+/ujX79+5iMPBhsbXMhdoUKFf2SFNAstVaoUfHx8kCNHDnh5eSlfPcG6cDLj4fxl8XWzfuhU6lF1jQ2MIat/xhvLf8CVGBfIBzwABjwqNO7KGZyO0wMeYfmM87T0xUprFi9erHbNEo6RFU5lEdClS5fUxrMPPvgAPXv2NN7BXPwWJtwXylRK5yqIb1u+ivcefVplevTT+37rPHT8/T2cvHre/EohNeBrnf3CuypCLsElAY/GJLytXm1eSCN4nB0+fPhf2V1a7KugRfxHH32klgBVrlxZ/V2CPQjy9cebj3TDl01eRi7/LEqkvPLkDjw+7QNsPntAJjNSCTYoeXvkEfOCC3FJwKMWh+mtkXylKcy89nBa2YC6u4IFC6r7qclzzz2H9evXq8A6ePDgv+Z0BXvg4+WNHpVb4qsmvVEyZ36lzdtkBLsec4dj1sG1KggKKYM+HdxfkQYvvyTjkoBHatbUzgms5aUFel/FSHWfJgGtWrVCYBoJgFjbY40vODhYrXwU7AUnMzqXqYcxrQaifiFdkth94Rh6LxiBz9ZOQbQ0M5INDzwHDuhgx0TH1bgs4FWpors2S5aYF1IZdmb37tXZXbly5ZSkJDmed9TWcUrj5s2b6rh65coVdZ/QYord31u3bqnuLIXNUsOzJ2xm1MpXBj+3fQNPlmukPj9//TI+XjsJg5d+p/biCkmHL5Vt24DKlT084PGbr1cPmDMn9XfVcrn2jBkzcO3aNdVBrV+/frJdUSIjI9G+fXt88sknqiZYqVIlvPXWWyr4UdvXoEEDlC1bFr169cJTTz2FPn36mP+nYEfyZs6Jr5r2wctV2ygjAoqUv982F30WjJQF4MmAM/PU4HHCIhn5RqqT7k+OELiIBQsA2tFt3qy3GKUWmzZtQvfu3Y1U+gDy5s2HhQsXoEyZMuajqQuPzlzmzeMy3ZNlXM09YKAbvXkWvt40HWeiL6lr9QpWwJB63VErbxm1RU24P5yu+N//gLFjPbyGR9i14ao2I1FKNRxCY4crSvPmzVGSSuc0gt1fNkOyZ88uwc6N4GTGgJqdMKp5P1QI1vYeK0/uRI85wzBpzzLE3nLSmJDNmTtXT1blyWNecDEuDXjsITz6KLBqVeoda7mgh53ShIQEI4X2wqBBA5UgWBCSipfx/KHN1NhWg/BwvjJqZ8bhyNMYsOQbfLd1DuJkHO2esGHBgFe7tmuWbv8bLs/LO3fWKmzO2aUGa4wcehurpAZdujxuvLu40HxLsD1sXlTOXUztzGgYWhneXhlUA2Pgkm8xZNV4XIu9bn6lcDcULHCairV6q+DygEc9Hk+CbF2nFC7ooaMxoaOx7KsQUot8QbkwtdP7eLlqW+TIFKR2336ydjJ6zRuOPReOi0j5LnhimzhRu6NY5ThLXB7weKzlNrOtW1PunrJkyRJs2bJF3W/YsKGacxWE1CIooz8+qPcc3q/7jAqAZNqBP5T5wOqTu2QB+B3wxLZuHfD00+YFi+DygEe7qBo1YASqlNm+UwvH7I66uUyZMqFt27YqyxOE1MTfJyN6VGqB71u+ipCAbGo72rrTe/HMrKFYfHSz+VUC6/KOGr2VcHnA43GWiRht38+cMS8mgxUrVmAvVyIZUPxLR2NZri2kBRxHa1akOlY8/SXK5QpVdb6wqAi0/vUt5aZ8I96zd2bQLIABr3Vr6zQrHFgiItDAhNvMxo83LyQRTj7MnDlTTURQaFy3bj2EhoaajwpC2lAiR37M6foxHitVV4mUE43TxaAl3+HdleMQdu0C/vTQrRl0RqH9ZMeO5gULYYmAx2Nts2bAvHnJW+7DkS66D/NYmzVrNjz2WCeRoghOoUDQQ/i88QvoU60dMnn7IuZWHL7bNhevLh6No5FO3GNgEShFYXmKbkhWXPlsmTNfo0Z6tnbyZPPCA8Ig98cff+DAAb1cu0mTxka2aKSLguAkcgfmwNt1nsQ3zV9Rx12ugZx1aB1aTnkTO84fMb/KM2Adnqbf9etTKWFetBCWCXicrX3mGWDcuKQ5IdPRmELjxMRb6jg7YMAAye4Ep5PJOyOertAEi7t9isJZcytZBkXKjX8ZhBkH1niMSJm+d5ydpVmAFUvolvonPfEEZ1P1O8SDQi+6zRzGNaDnHZ1RBMFV1ClYHj+3e0PN3dJJmSLlPgu/xjebZyEqznhyuznU3nGSs0QJ84LFsFTACw7m7Kuu5T1IlkfHEkpReKxNzr4KQUhtlM1U3tL4unlfdC3TQF07F30JH6yZgMHLfkCkG9tM0dty1ixdj+c6VitiuaSzRw9g1y7AXENxTyhFoUUT4VYx2jQJgquhiUTJHAVU0Puw/nNqF+6V2OsYu30+2v/2Lo5eds9mBh1RHA1Iq2K5gFeggPbO4r4LI3H7T2gO4NhXwfWJ7dq1R1BQkPmoILiezL7+eK3W4/i6WR8EK5HybawJ240u0z/AhjP73Goyg9kd6+88ZFnB6PO/sFzAozq7ZUs9eHxJ25D9K9wBu5XzaAbly5dHzZoiNBasB80GuldsjhFNe6NMLm0It/XcIWUzNX3/aiQk3uNd3SawQTN1KpA1K/DYY+ZFi2K5CMHJC46a8eN/NS/oaDx9+vS/HI0pNBZXFMGq+BhBr2OpuhjTehCaFK6iru27eBJ9F36NoWsn2b6Zcf48sHAh8OKL1q3dObBkSkR3hYYNgZEjuVPCvHgHBw8eVNo7Niu4oKdTp47wttoMiyDcAXfhVs9TEj+2GYzuFZrCK116XLhxBUPXTcGAJd8i4sZV8yvtBw9a3F3RtKl5wcJYMuDxZMqxFE5d/PabedGENTtOVXC6gtSpU0ftgxUEO5AnMAe+aPIy+lZvj0AfP9xMiMOP2xfg5flf4tTVcPOr7AOFxtxL06ABkCOHedHCWLboxeZFr14A7e3uXOXIrWEOR2NfX18MHDjQfEQQ7EGWjAH4qP7zeL9ud+TPnEvN3E47sAZPzPwIq0/utNUuXCoqDh/W2Z2Pj3nRwlg24BFKVJjt/f773xbwGzZsUEt6SOPGjVG1alV1XxDshJ+3L/rV6IDRLfqjckgxdW1t2F70mDsME3ctUTO5VoflJiYk3DFtl2lOSwe8bNmAAQO0mPHUKX3tiy++UE0LL68MKruTzqxgV1jHa160Bsa2HoRHC5RX+j1q9AYt/Q6jNs1EnMUXBbFRwW0KHAnNmNG8aHEsHy3YvGA/gv5aa9euNz4adwzq16+XZqsXBcFZsJnBrWiTO7yNZkWqKRlLZEwUXl/+A95eOQ5XLbozgyOgXL/YtaseJbMLlg941PZ06ADMmBGPt9/W+yr8/PzUcmxxNBbcBTqu/NrhXfSt1h45/bPg9p9/Ytj63/Ds7M+wM/yopXZm8ChL3R2D3iuvmBdtguUDHo1PaB0VH7/FyPDWqWu0f6pduzYycKmtILgJgb6Z1KLvD+o9q3z2yJzD69TOjBUndlhmMoPlJaon+vbV8+92whYFsNy5E40f7FTjneWyCnKPPPIISljVjkEQUgBtprpXaIYxrQYqCQvH0Tae2a92Zsw7vMH8KtfBcc9Fi/QC/bZtzYs2whYB79ixIzh8eDP+/PMWgoKyoU2bjpLdCW4LJzMaFa6CVc98iYrBRZQDy9noS8p4YMTGabgenwTDyFTm3Dng11+BJ58EcuY0L9oIr/cNzPuWJT4+HjExMUp7FxVV3jji9kbx4raI1YKQbLL5ZUaLYjUQceMKTlwJR1xiPFad2qUaGaVyFlBrI9MZ/zkLSsMoQ+E6Va58DggwH7AR6f40MO9bGq5fPHHiBMaO/RNHjhTBqFH2qx8IQnIIvx6Jb7bMwfANvyv7eGr4moRWwdCGPVE8R37zq9IeOrF16wZ8+y01sOZFm2GbgOeAqxyZTnfvrh2SRYYneAIxCXGYefAPPDfnc8TeilcavkJZgjG5wzuomift69nsyNLnjhKU0aN1Dc+O2C5ccBsSg92PP6Zsj60g2AlmdV3LNsTSJz9H0Wx51bWjV86h6aTB+H3fyjQVKXMT2fff693RQ4faN9gR2wU8ZnSc28tr/M6//PLeJqGC4G7UylcWE9q9gQahldTOjMsxUei3aBRGbpqBa7GpbzPF89+OHdog4KOPtC7WztiiaXE3dFSlhdSnn+rAV6qU+YAguDkcP6NcpVqekriREIOd4cdU13bz2YNqd0b1vKXg75N6c148yn7+ORASAvTsaQ+DgHth2woYPQNeeAF4++2/52wFwRNg0CueIx++bNIbQxv2UDKWa3E38NPORWj32ztqPWRqsWYNsH078PTT1jf3fBBs17S4E464sFtEpwbWFrhARBA8CVrET9i1BO+uGofz0ZeV1VTF4KIY2awPauYtDa8UdPVoy1avnq6Z08TDiLO2x5ZHWgf8BXBR2fjxess5O0jStRU8CQa0srkKITRrbhyKDFMuyuHXL6slQTkyBalM0Ct90hfTX7kC9OmjX1eMEO6Q3RFbBzxCl1UKISdPpvux/YuqgpBUGPRK5siPKnmKG1leJA5fPqMWgK85tVvJWSqGFEXGDA9efEtIAMaM4RpU4IcfdJ3cXbD1kdYB3404yMzAd7clvCB4Egx4768ej3E7FirnZL8Mvuhcph4+adBDrYp8ENau1a+nzz7T9mzuhO0zPMLaXfHiNAfVx9wqVeRoK3gmdFyhmShre3sjTuBGQix2hR/DESPr4xKhLH6B9xxG42pURoRq1bSw3912Y7lFwCO5culRMzYv2MQoWNA9iqyCkFR8jePrIwXKIcjXHwcvhanZ20ORp5XrSmiWEOQPyqkMCe6GmlZuCuSOijfeAB7SDlVuhdsEPELHKK6LmzRJZ3l2dHMQhNSAomSOnJXIkV/ZxtNthbe1p/ci0CeTcb2Acle+k59/Br75RguMuQjQHRMGt6jh3Qnrea+9phXinMQIDDQfEAQPhM7JPNq+smgUVp7aqV4YWTIGYlCtznilZqe/mhncnMAZdYr5O3c2MqGkN3ZtgVtleIT1vEKFtFSFOj2+U0k9T/BUKFJ+KCArmhSpqgTJJ6+G43pCDFac3IGo2BuokbcUzoX5qiNskybast2dXy9uF/AI63mUq3z4oW6ps6Eh9TzBkwnw8UPr4g8jITEBR4wjLsfRNp09gN3nTmLn8nzwSchqHGXTub143y0DHoNb4cJ6ddzHH+smBrM+QfBkOIL2cL4yyOWfBXuMYy6bGceunMPR60fRvX0u1CoZbGR37n0cctvvju10jsTQsPC994B9+8wHBMGDoc3UU+WbYGzrgQj2y4U/093G9aCDmHJ2Iq7GWXMlZGri1uGczg79+gHFigGffKJnAwXB00mPDLi5rxIyTPwKJQOLI3dgdvSr3gHZ/Ny/w+d2Xdp/48gRYOBAfazl8mBZZyt4KmzkrV8PvPMO0KoV0KVHpKrlNS5cRW1Mc3c8IuDxO9y5U/t51a0LDBniPsPQgpAUTpwAevcGKlUCXn9de0t6Eh4h2GATo0IFYNw4YNo0PYLGuVtB8CSuXdO+dlQwsNTjacGOeETAIwx6tJKiq8rvv2udngQ9wRPgCSc8HOjQQde16WDMoOeJeEzAc0CnZApxOEbDhcJcUCII7kxYGDBokJ46mjBB61Q9FY8LeNy41Ly5rmPQ/obHXBZyBcEd4ajlBx/o5/jw4XrrnyfjEU2Lf4Mmh9zERN8vDks/9ZQR/T0u/AvuDN1Pnn0WuHABGDFCJo6Ix77EKUxmTYP1jGHDtHEog6Ag2B2mMPS1o5/dnj26SUcnIRmv9OCA56BjR13fGDUK+OUXCXqCvWGwo/SEutPoaF2n5miloPHYI+2dxMT8vWiYo2j9+wO+vuaDgmAjzp7VwY4nmHffBYoUMR8QFBLwTFjvWLdO65RY96CnHs0HBMEuREYC7dtrp2KWavLnl2Ps3UiZ3oTd20cf1UeAqVO1EeLVq+aDgmBhKK3avVv72VFMzPJMgQIS7P4NCXh3weUlo0cDf/yh5w1PnjQfEAQLwprz4sXAq68CtWoBU6Z4ts7ufsiR9l+gZondLQqU4+K04QB3ZAiCleArlxNDP/0EtG4N9OolKw3uhwS8e0DR5ltvAVu2aB1TzZpyTBCsAWvObLL9+KP+2KmT1JwfBAl494Fb0OilN2uWnsyoX186uILr4Kv1/Hnt5L1wIfDDD0CDBuaDwn2RgPcAXL8OTJwIfP+91u3RSTlPHvNBQXAimzbp00ZsrHbyLl/efEB4ICTgPSAsDlO2wu5tlizAm28CZcrIEVdwDnz+sSHBvbG1a+tZcOnEJh0JeEnkzBm9DY11PT75qlc3HxCENCIqSpdT2KBgeYVaO0/0sksNJOAlA47s8AnI7hjH0p55RtvGy7utkJpQLcAxMU5MHDgAfPedlk0JyUcCXjJhl2z2bK3ZYz2vTx+99NtdN7YLzoUKgQULtIi4XDmts+MyKnlTTRkS8FLI4cO6U7Z1K9ClC/Dcc3pqQxCSA1+NR48CX34JbN8OvPQS0LIlkC2b+QVCipCAlwrcuKGzvbff1gJlzjGyoCwISWX5cj3HzaF/1opDQ+XUkJrIaFkqwAJy167AsmV6UUrbtnpZEGt9gnA/OAvLZhhdemhe0aaNPjUULSrBLrWRDC+VYbbHbhoNRSlb4ROYK/Fo1yMId8M3yLlztc6TjS/KTerUkVpdWiEBLw2gZmrfPh341q7VzsoUKwcHm18geDx81W3erJte9LB7/HGgXTvP3SbmLCTgpSEcS+OTmrU9BkGaENDCR/BsLl7UTQluEOPzgSJ21nyl2ZX2SMBzAjRmHDlSD3rXq6c3vrMoLTO5ngNfZRQQc1qHW8R4ZGVTgrPZgvOQgOdEtm3T4tFDh4DGjbWlD+t8si3NvaGR7IYNemcK/RVZ4uCCHfGtcz4S8JwMj7mrV2tn5WPHdMbHJ7+ISt0PTkosXQpMmqSXYTve5EqWlO6rq5CA5wL4QqADC4WltPnh+BCbGtyRGxBgfpFgW/iK4u92yBD9kZIlCtILFQJ8fMwvElyCBDwXw2bGzJl6Ny4lLdw41bw5kDWrvDjsBF9F/P2x48rOK6UmNIylazazd8EaSMCzCOzcUazMdZHMAFnM5nGXfmfS3LAufPVEROhu/Pz5eplOqVK6TEEbJ+m8WgsJeBbj3Dlg/XrtZrt/P1C2rDYdfeQRwM/P/CLBEjDQTZ8OLFqksztuveMbFYf9ZbeENZGAZ0GY4fEFxEI3PfeYOfBY1KOHFqdK1uA6+Go5fVpLjCZP1nskXn4ZaNFC74OVMoS1kYBncfjbOX4c+PZbYMYMneVxXI3dPtpSsckh3d20hXVWaujoSTd2LLBypV5y/fzzuiEhY4P2QQKejQgP1x5plDrw6Fu4sF7gwpoRB82lw5t68FXBn/fBg9r6i3uKOfdasSLQqpVuSGTKZH6xYBsk4NkQvvA4q8uFLnwhXr6ssz0WyVlDYvATMXPy4HIcioRp00SheEyM1s2xhkqDV07IiIbOvkjAszF0XaYFFaUQzPymTtWZH7MQDqOzrkR5i3Bv+HPkcZXyIHbKeXytWlUfV7mzhC4mzObkTcT+SMBzM7hciEPp9ObjSBOzkmbNgLp1dVGd3n2UuXjqi5fec5x2ofCbbtVsCLEmxzcKDvDzjYKjX7KG0z2RgOem8Ni7Y4c+nu3cqetRlEoULw6ULq1f3HxR8+bOEgp2vKlxpMEmM2GO8+3ZA5w6ZTz50+k6KBfj1KqlO+FyXHVvJOB5ADz2cmid3V4e3XhjAGR9ilkfX+jU+zEY0lI8KMj8H20IAxyzNe6FoI5x7179vTOr4/eVL5/+Xvk983vNm1eCnCchAc/DoMSCgY432lbRrogmpSzQX7qkdWXM/ujS7LhZ2cqKmSwzWP77mdHyPps4hP9u1uDoIMyslpksZT38HiXIeSYS8AQFnwXnz+uAwYF33pgdsdbFox+PvsyIChbUAZE33qcUhkJoBhDHjfXBO28OneDdekH+nY4bMzN+ZI2N9/mRNzYU4uP1sZTHUGZrFGTTcIEZK4M2g3FIiB7DY82SQZpSHZHpCHcjAU/4T5gNMsjwxhoYbzwuMoPiMZndTMKAwxunDCjC5Y33eY3ZFD/eGQzvDGwMaJSC8BYXp/9Ox42fO67xz2CGxo4pfeQYgHkc5RGVLiS0RuefLQj3QgKekGQYhBjsGPQ4Ascba2Q8JjsCl+PGz5mhMbAxwPFGHMGPwfHOwOi48XNKQXhjZ5nZGgMeb/x/BSE5SMAT0gzHMdUR5O5+pvGI67jdefQVhLRCAp4gCB6DVD0EQfAYJOAJguAxSMATBMFjkIAnCIKHAPwfH/JPgimiOgUAAAAASUVORK5CYII=[/img][/center]
[justify][b]4) A figura a seguir ilustra uma praça circular com dois caminhos retilíneos, AB e CD, que se interceptam no ponto P. O caminho AB divide-se em duas partes com medidas AP = 45m e BP = 24m. Se DP = 40m, qual a medida do caminho CD?[/justify][br][center][img]data:image/png;base64,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[/img][/b][/center]
[b]5) A circunferência de centro O tem raio 4, a corda CD é perpendicular à corda AB no ponto F, médio de OB. Determine FC.[/b]
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Information: POTÊNCIA DE PONTO