1 00:00:00,000 --> 00:00:01,770 本集视频 我将想大家介绍 2 00:00:01,860 --> 00:00:05,940 一些常见角的术语 3 00:00:06,040 --> 00:00:08,960 我想给大家介绍的术语就是 4 00:00:09,060 --> 00:00:20,390 锐角 直角和钝角 5 00:00:20,490 --> 00:00:21,860 当我们讲这些术语时 6 00:00:21,950 --> 00:00:24,260 这些术语其实是不言自明的 7 00:00:24,370 --> 00:00:27,490 锐角就是 8 00:00:27,600 --> 00:00:28,860 我先把这些角画出来 9 00:00:28,970 --> 00:00:30,490 这样的话 10 00:00:30,610 --> 00:00:31,860 大家就明白是什么意思了 11 00:00:31,960 --> 00:00:34,030 锐角看起来就是这样的 12 00:00:34,120 --> 00:00:35,680 我画两条射线 13 00:00:35,760 --> 00:00:37,330 它们从同一点出发 14 00:00:37,440 --> 00:00:38,440 我还可以 15 00:00:38,580 --> 00:00:41,660 锐角可以是旁边这个角 16 00:00:41,770 --> 00:00:43,490 我还可以这样画锐角 17 00:00:43,590 --> 00:00:47,700 就是两条直线相交形成的角 18 00:00:47,810 --> 00:00:49,600 这个角就是锐角 19 00:00:49,700 --> 00:00:50,780 这个角也是锐角 20 00:00:50,880 --> 00:00:52,510 这两个角都是锐角 21 00:00:52,610 --> 00:00:54,440 我们把锐角看做是 22 00:00:54,530 --> 00:00:57,570 因为还没有定义直角 23 00:00:57,670 --> 00:00:58,690 比直角小 24 00:00:58,810 --> 00:01:01,370 可以看出 锐角比直角小 25 00:01:01,470 --> 00:01:06,690 直角就是 两条射线或直线 26 00:01:06,820 --> 00:01:12,410 相互垂直 27 00:01:12,520 --> 00:01:13,630 但这两条线 28 00:01:13,730 --> 00:01:15,170 如果一条是水平方向的 29 00:01:15,290 --> 00:01:17,390 另一条就是垂直方向的 30 00:01:17,490 --> 00:01:18,720 我先用射线画 31 00:01:18,810 --> 00:01:19,840 直角就是 32 00:01:19,960 --> 00:01:21,840 这一条线从左到右 33 00:01:21,940 --> 00:01:25,210 另一条线从上到下 34 00:01:25,320 --> 00:01:28,010 这个角就是直角 35 00:01:28,110 --> 00:01:29,970 我可以这样标识这个角 36 00:01:30,060 --> 00:01:31,350 这是角的通用标识方法 37 00:01:31,450 --> 00:01:35,080 但直角的标识方法是 38 00:01:35,190 --> 00:01:36,720 画一个小直角 39 00:01:36,830 --> 00:01:38,640 就是个小矩形的一半 40 00:01:38,730 --> 00:01:44,640 这就表明这个角是直角 41 00:01:44,750 --> 00:01:47,410 或者说 如果这条线从左到右的话 42 00:01:47,510 --> 00:01:49,490 这条线就是从上到下 43 00:01:49,600 --> 00:01:52,130 这个角是 44 00:01:52,240 --> 00:01:53,220 这个完全是 45 00:01:53,330 --> 00:01:54,310 我想解释它为什么叫直角 46 00:01:54,410 --> 00:01:55,700 的最佳方法是 47 00:01:55,800 --> 00:01:59,230 和下边这条线相比 48 00:01:59,340 --> 00:02:01,730 这条射线是垂直的 49 00:02:01,830 --> 00:02:03,530 让我再画一些线 50 00:02:03,630 --> 00:02:06,510 如果画一条这样的线 51 00:02:06,620 --> 00:02:08,550 再画这样一条线 52 00:02:08,660 --> 00:02:10,920 这个角就是直角 53 00:02:11,040 --> 00:02:13,300 其实这四个角都是直角 54 00:02:13,420 --> 00:02:15,120 这就意味着这条线完全 55 00:02:15,260 --> 00:02:16,450 如果这个是底的话 56 00:02:16,570 --> 00:02:18,600 与底这条线相比 57 00:02:18,700 --> 00:02:20,730 这条线是完全垂直 58 00:02:20,850 --> 00:02:22,110 这四个角中的任意一个 59 00:02:22,210 --> 00:02:23,560 都是直角 60 00:02:23,660 --> 00:02:25,380 既然已经定义了直角 61 00:02:25,490 --> 00:02:28,010 我就可以给锐角再下一个定义 62 00:02:28,120 --> 00:02:30,560 锐角就是 63 00:02:30,670 --> 00:02:33,740 比直角小的角 64 00:02:33,850 --> 00:02:36,060 在学了弧度和角度 65 00:02:36,190 --> 00:02:38,080 这是两种度量角度的方式后 66 00:02:38,190 --> 00:02:39,650 你就会知道 67 00:02:39,770 --> 00:02:42,560 直角就是90° 68 00:02:42,680 --> 00:02:45,800 这个角就小于90° 69 00:02:45,920 --> 00:02:48,720 这个角小于90° 70 00:02:48,840 --> 00:02:50,490 理解锐角的其它方法是 71 00:02:50,590 --> 00:02:55,440 锐角的开口小 更窄 72 00:02:55,560 --> 00:03:00,600 这两条线跟直角相比 73 00:03:00,700 --> 00:03:02,290 你只需要转动其中一条线一点儿 74 00:03:02,400 --> 00:03:03,180 就可与另一条线重合 75 00:03:03,280 --> 00:03:03,610 而直角 76 00:03:03,720 --> 00:03:05,710 你需要转动这么远 77 00:03:05,810 --> 00:03:07,670 而锐角你只需要转动一点 78 00:03:07,770 --> 00:03:10,570 因此锐角比直角小 79 00:03:10,710 --> 00:03:12,090 你可能已经开始想 80 00:03:12,190 --> 00:03:13,850 钝角是什么了 81 00:03:13,950 --> 00:03:16,380 钝角比直角大 82 00:03:16,490 --> 00:03:19,080 让我画几个钝角 83 00:03:19,190 --> 00:03:24,100 钝角看起来是 84 00:03:24,200 --> 00:03:26,000 让我画清楚点 85 00:03:26,090 --> 00:03:28,450 看起来可能是这样 86 00:03:28,550 --> 00:03:29,940 如果这是一个直角的话 87 00:03:30,040 --> 00:03:32,400 另外一条线 88 00:03:32,490 --> 00:03:33,540 可能是这样的 89 00:03:33,630 --> 00:03:34,810 与底相比的话 90 00:03:34,910 --> 00:03:36,760 是完全垂直的 91 00:03:36,850 --> 00:03:38,050 但是不是这样的 92 00:03:38,170 --> 00:03:40,830 这条橙色的射线 93 00:03:40,930 --> 00:03:44,640 开口比直角更大 94 00:03:44,740 --> 00:03:48,550 因此是钝角 95 00:03:48,650 --> 00:03:50,850 这术语其实是来自日常用语 96 00:03:50,950 --> 00:03:54,470 锐 代表 锋利或敏锐 97 00:03:54,570 --> 00:03:57,620 钝 代表 不锋利或不敏锐 98 00:03:57,720 --> 00:04:00,350 你可以它看成是个锋利的尖儿 99 00:04:00,450 --> 00:04:02,560 开口不是很大 100 00:04:02,670 --> 00:04:04,300 与其它相比 101 00:04:04,390 --> 00:04:05,920 这个更敏锐 102 00:04:06,050 --> 00:04:08,190 我也不知道 我只是帮大家做些联想 103 00:04:08,300 --> 00:04:09,690 钝角不敏锐 104 00:04:09,800 --> 00:04:11,050 这个又大又开 105 00:04:11,130 --> 00:04:13,290 不可能感知到细小的东西 106 00:04:13,390 --> 00:04:17,370 可能这个比较不大合适 107 00:04:17,490 --> 00:04:18,770 但理解它的一个方法就是 108 00:04:18,880 --> 00:04:20,600 钝角开口大 109 00:04:20,710 --> 00:04:22,840 比直角大 110 00:04:22,970 --> 00:04:24,850 大于90° 111 00:04:24,970 --> 00:04:26,520 大于90° 112 00:04:26,630 --> 00:04:27,430 如果想量这个角的话 113 00:04:27,530 --> 00:04:29,880 与直角相比的话 114 00:04:29,970 --> 00:04:32,940 你需要转动更多 115 00:04:33,040 --> 00:04:34,520 以到达另外一条射线 116 00:04:34,620 --> 00:04:37,440 毫无疑问 比锐角大得更多 117 00:04:37,550 --> 00:04:42,300 如果用直线画这些角 118 00:04:42,380 --> 00:04:45,300 哪些是直角 哪些是钝角? 119 00:04:45,400 --> 00:04:47,010 我这样画的 120 00:04:47,110 --> 00:04:50,520 这两个角是锐角 121 00:04:50,640 --> 00:04:51,720 锐角 122 00:04:51,820 --> 00:04:54,460 这两个角就是钝角 123 00:04:54,570 --> 00:04:56,570 这个角和这个角 124 00:04:56,660 --> 00:05:00,460 这两个角是钝角 125 00:05:00,560 --> 00:05:02,620 上边其实我也画了钝角 126 00:05:02,740 --> 00:05:07,780 这两个角也是钝角 127 00:05:07,890 --> 00:05:09,330 很简单 128 00:05:09,440 --> 00:05:12,000 如果一条直线或射线 129 00:05:12,100 --> 00:05:13,770 与另外一条 130 00:05:13,880 --> 00:05:15,050 上下方向 131 00:05:15,180 --> 00:05:16,200 与左右方向垂直 132 00:05:16,290 --> 00:05:17,850 或是完全垂直 133 00:05:17,950 --> 00:05:19,780 那么这就是直角 134 00:05:19,900 --> 00:05:21,190 如果两条线开口小 135 00:05:21,300 --> 00:05:22,550 转动的比较少 136 00:05:22,650 --> 00:05:23,820 那就是锐角 137 00:05:23,930 --> 00:05:25,690 如果转动的多 138 00:05:25,790 --> 00:05:27,150 那就是钝角 139 00:05:27,250 --> 00:05:28,710 如果看到它们 140 00:05:28,810 --> 00:05:30,930 很容易就区分出这几个角