1 00:00:00,443 --> 00:00:02,206 Ebben a videóban olyan síkidomokról szeretnék beszélni, 2 00:00:02,206 --> 00:00:05,260 amiknek négy oldala van. 3 00:00:05,260 --> 00:00:08,964 A négy oldalú síkidomokat a matematikában 4 00:00:08,964 --> 00:00:10,798 négyszögeknek nevezzük. 5 00:00:10,798 --> 00:00:12,062 Négyszög. 6 00:00:12,062 --> 00:00:14,559 Négy oldala van, 7 00:00:14,559 --> 00:00:17,426 ezért hívjuk négyszögnek. 8 00:00:17,426 --> 00:00:19,806 9 00:00:19,806 --> 00:00:22,859 Szóval a négyszög olyan valami, aminek négy oldala van. 10 00:00:22,859 --> 00:00:26,726 Tehát ez egy négyszög, 11 00:00:26,726 --> 00:00:29,755 ez is négyszög, 12 00:00:29,755 --> 00:00:32,159 ez is négyszög. 13 00:00:32,159 --> 00:00:33,378 Mindegyiknek négy oldala van. 14 00:00:33,378 --> 00:00:36,396 Ez is négyszög, 15 00:00:36,396 --> 00:00:39,705 és még ez is 16 00:00:39,705 --> 00:00:42,456 – még szabálytalanabbra rajzolom –, 17 00:00:42,456 --> 00:00:45,579 még ez is négyszög. 18 00:00:45,579 --> 00:00:47,564 És akkor mi nem négyszög? 19 00:00:47,564 --> 00:00:49,619 Nos, a háromszög az nem négyszög, 20 00:00:49,619 --> 00:00:50,524 három oldala van, 21 00:00:50,524 --> 00:00:51,638 1, 2, 3. 22 00:00:51,638 --> 00:00:53,635 Akkor ezt áthúzzuk. 23 00:00:53,635 --> 00:00:55,714 Az ötszögnek 5 oldala van, 24 00:00:55,714 --> 00:00:57,014 ezért nem négyszög. 25 00:00:57,014 --> 00:00:59,782 1, 2, 3, 4, 5 oldala van. 26 00:00:59,782 --> 00:01:03,264 A körnek mondhatjuk, hogy nincs oldala, 27 00:01:03,264 --> 00:01:06,735 a kör csak egy nagy görbe, 28 00:01:06,735 --> 00:01:09,359 a kör sem lesz négyszög. 29 00:01:09,359 --> 00:01:11,414 Ha 6, 7 vagy 100 oldalú a sokszög, 30 00:01:11,414 --> 00:01:14,618 akkor az négyszög. 31 00:01:14,618 --> 00:01:15,353 Most pedig nézzük meg, 32 00:01:15,353 --> 00:01:17,164 hogy milyen speciális négyszögek vannak. 33 00:01:19,950 --> 00:01:23,085 Az egyik a paralelogramma. 34 00:01:23,085 --> 00:01:26,766 A paralelogramma olyan négyszög 35 00:01:26,766 --> 00:01:28,066 – ahogy egyre több matematikát tanulsz, 36 00:01:28,066 --> 00:01:31,211 másféle megfogalmazással is találkozol majd –, 37 00:01:31,211 --> 00:01:35,367 a paralelogramma olyan négyszög, 38 00:01:35,367 --> 00:01:36,841 amelynek a szemközti oldalai párhuzamosak. 39 00:01:36,841 --> 00:01:39,268 A párhuzamos csak egy másik elnevezése annak, 40 00:01:39,268 --> 00:01:41,061 hogy ugyanabba az irányba mennek. 41 00:01:41,061 --> 00:01:43,209 Mit értek ez alatt? 42 00:01:43,209 --> 00:01:45,229 A paralelogramma valami ilyesmi. 43 00:01:45,229 --> 00:01:47,423 44 00:01:47,423 --> 00:01:48,538 45 00:01:48,538 --> 00:01:52,315 Miért? 46 00:01:52,315 --> 00:01:54,213 Azért, mert ez az oldal szemben van ezzel az oldallal, 47 00:01:54,213 --> 00:01:55,374 és ezek ugyanabba az irányba mutatnak. 48 00:01:55,374 --> 00:01:58,323 Ha ide nyilakat rajzolnék, 49 00:01:58,323 --> 00:01:59,623 akkor ezek a nyilak ugyanarra mutatnának. 50 00:01:59,623 --> 00:02:04,139 51 00:02:04,139 --> 00:02:06,322 52 00:02:06,322 --> 00:02:09,154 Szóval ez a két oldal párhuzamos, 53 00:02:09,154 --> 00:02:11,941 így mondjuk. 54 00:02:11,941 --> 00:02:15,296 És ez a két oldal szintén párhuzamos. 55 00:02:15,296 --> 00:02:17,397 56 00:02:17,397 --> 00:02:20,020 Tehát ez a paralelogramma. 57 00:02:20,020 --> 00:02:21,994 Nézzünk még más 58 00:02:21,994 --> 00:02:23,759 59 00:02:23,759 --> 00:02:25,012 60 00:02:25,012 --> 00:02:26,893 61 00:02:26,893 --> 00:02:28,832 62 00:02:28,832 --> 00:02:31,595 63 00:02:31,595 --> 00:02:34,392 64 00:02:34,392 --> 00:02:38,595 65 00:02:38,595 --> 00:02:40,894 66 00:02:40,894 --> 00:02:44,794 67 00:02:44,794 --> 00:02:47,511 68 00:02:47,511 --> 00:02:49,833 69 00:02:49,833 --> 00:02:53,065 70 00:02:53,065 --> 00:02:55,026 71 00:02:55,026 --> 00:02:55,582 72 00:02:55,582 --> 00:02:57,882 73 00:02:57,882 --> 00:03:02,224 74 00:03:02,224 --> 00:03:06,454 75 00:03:06,454 --> 00:03:08,441 76 00:03:08,441 --> 00:03:10,298 77 00:03:10,298 --> 00:03:12,677 78 00:03:12,677 --> 00:03:14,279 79 00:03:14,279 --> 00:03:15,998 80 00:03:15,998 --> 00:03:18,180 81 00:03:18,180 --> 00:03:19,933 82 00:03:19,933 --> 00:03:21,720 83 00:03:21,720 --> 00:03:25,099 84 00:03:25,099 --> 00:03:26,619 85 00:03:26,619 --> 00:03:29,616 86 00:03:29,616 --> 00:03:31,972 87 00:03:31,972 --> 00:03:34,734 88 00:03:34,734 --> 00:03:38,299 89 00:03:38,299 --> 00:03:39,948 90 00:03:39,948 --> 00:03:44,050 91 00:03:44,050 --> 00:03:46,256 92 00:03:46,256 --> 00:03:50,529 93 00:03:50,529 --> 00:03:54,208 94 00:03:54,208 --> 00:03:57,262 95 00:03:57,262 --> 00:04:00,999 96 00:04:00,999 --> 00:04:03,020 97 00:04:03,020 --> 00:04:06,816 98 00:04:06,816 --> 00:04:09,500 99 00:04:09,500 --> 00:04:12,810 100 00:04:12,810 --> 00:04:16,321 101 00:04:16,321 --> 00:04:18,897 102 00:04:18,897 --> 00:04:21,277 103 00:04:21,277 --> 00:04:24,598 104 00:04:24,598 --> 00:04:28,556 105 00:04:28,556 --> 00:04:30,355 106 00:04:30,355 --> 00:04:34,621 107 00:04:34,621 --> 00:04:36,746 108 00:04:36,746 --> 00:04:39,985 109 00:04:39,985 --> 00:04:42,608 110 00:04:42,608 --> 00:04:44,384 111 00:04:44,384 --> 00:04:47,182 112 00:04:47,182 --> 00:04:50,584 113 00:04:50,584 --> 00:04:51,721 114 00:04:51,721 --> 00:04:53,762 115 00:04:53,762 --> 00:04:56,156 116 00:04:56,156 --> 00:04:58,942 117 00:04:58,942 --> 00:05:00,820 118 00:05:00,820 --> 00:05:01,933 119 00:05:01,933 --> 00:05:03,825 120 00:05:03,825 --> 00:05:07,644 121 00:05:07,644 --> 00:05:11,034 122 00:05:11,034 --> 00:05:14,691 123 00:05:14,691 --> 00:05:16,479 124 00:05:16,479 --> 00:05:18,610 125 00:05:18,610 --> 00:05:21,273 126 00:05:21,273 --> 00:05:22,399 127 00:05:22,399 --> 00:05:24,698 128 00:05:24,698 --> 00:05:28,774 129 00:05:28,774 --> 00:05:30,500 130 00:05:30,500 --> 00:05:32,775 131 00:05:32,775 --> 00:05:33,959 132 00:05:33,959 --> 00:05:36,293 133 00:05:36,293 --> 00:05:39,810 134 00:05:39,810 --> 00:05:42,736 135 00:05:42,736 --> 00:05:46,523 136 00:05:46,523 --> 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