KÍNH CHÀO Q THẦY CƠ VỀ DỰ GIỜ THĂM LỚP 1OC2! 04:59 04:55 04:52 04:29 04:25 04:22 03:59 03:55 03:52 03:29 03:25 03:22 02:59 02:49 02:50 02:51 02:52 02:53 02:54 02:55 02:56 02:57 02:45 02:42 02:39 02:35 02:32 02:29 02:19 02:20 02:21 02:22 02:23 02:24 02:25 02:26 02:27 02:15 02:12 02:09 02:05 02:02 01:59 01:55 01:52 01:29 01:25 01:22 00:59 00:55 00:52 00:29 00:25 00:22 05:00 04:56 04:57 04:53 04:54 04:49 04:50 04:51 04:45 04:42 04:39 04:35 04:32 04:26 04:27 04:23 04:24 04:19 04:20 04:21 04:15 04:12 04:09 04:05 04:02 03:56 03:57 03:53 03:54 03:49 03:50 03:51 03:45 03:42 03:39 03:35 03:32 03:26 03:27 03:23 03:24 03:19 03:20 03:21 03:15 03:12 03:09 03:05 03:02 02:58 02:46 02:47 02:43 02:44 02:40 02:41 02:36 02:37 02:33 02:34 02:30 02:31 02:28 02:16 02:17 02:13 02:14 02:10 02:11 02:06 02:07 02:03 02:04 02:00 02:01 01:56 01:57 01:53 01:54 01:49 01:50 01:51 01:45 01:42 01:39 01:35 01:32 01:26 01:27 01:23 01:24 01:19 01:20 01:21 01:15 01:12 01:09 01:05 01:02 00:56 00:57 00:53 00:54 00:49 00:50 00:51 00:45 00:42 00:39 00:35 00:32 00:26 00:27 00:23 00:24 00:19 00:20 00:21 00:15 00:12 00:09 00:05 00:02 04:58 04:46 04:47 04:48 04:43 04:44 04:40 04:41 04:36 04:37 04:38 04:33 04:34 04:30 04:31 04:28 04:16 04:17 04:18 04:13 04:14 04:10 04:11 04:06 04:07 04:08 04:03 04:04 04:00 04:01 03:58 03:46 03:47 03:48 03:43 03:44 03:40 03:41 03:36 03:37 03:38 03:33 03:34 03:30 03:31 03:28 03:16 03:17 03:18 03:13 03:14 03:10 03:11 03:06 03:07 03:08 03:03 03:04 03:00 03:01 02:48 02:38 02:18 02:08 01:58 01:46 01:47 01:48 01:43 01:44 01:40 01:41 01:36 01:37 01:38 01:33 01:34 01:30 01:31 01:28 01:16 01:17 01:18 01:13 01:14 01:10 01:11 01:06 01:07 01:08 01:03 01:04 01:00 01:01 00:58 00:46 00:47 00:48 00:43 00:44 00:40 00:41 00:36 00:37 00:38 00:33 00:34 00:30 00:31 00:28 00:16 00:17 00:18 00:13 00:14 00:10 00:11 00:06 00:07 00:08 00:03 00:04 00:00 00:01 II BÀI TẬP Nhận dạng phương trình đường elip Bài tập 1: Phương trình phương trình đường elip phương trình sau? x y2 a, + =1 x2 y b, + =1 16 x y c, + =1 25 16 02:59 02:55 02:52 02:29 02:25 02:22 04:59 05:00 04:49 04:50 04:51 04:52 04:53 04:54 04:55 04:56 04:57 04:45 04:42 04:39 04:35 04:32 04:29 04:19 04:20 04:21 04:22 04:23 04:24 04:25 04:26 04:27 04:15 04:12 04:09 04:05 04:02 03:59 03:49 03:50 03:51 03:52 03:53 03:54 03:55 03:56 03:57 03:45 03:42 03:39 03:35 03:32 03:29 03:19 03:20 03:21 03:22 03:23 03:24 03:25 03:26 03:27 03:15 03:12 03:09 03:05 03:02 02:56 02:57 02:58 02:53 02:54 02:49 02:50 02:51 02:39 02:40 02:41 02:42 02:43 02:44 02:45 02:46 02:47 02:30 02:31 02:32 02:33 02:34 02:35 02:36 02:37 02:26 02:27 02:28 02:23 02:24 02:19 02:20 02:21 02:09 02:10 02:11 02:12 02:13 02:14 02:15 02:16 02:17 01:59 02:00 02:01 02:02 02:03 02:04 02:05 02:06 02:07 01:49 01:50 01:51 01:52 01:53 01:54 01:55 01:56 01:57 01:45 01:42 01:39 01:35 01:32 01:29 01:19 01:20 01:21 01:22 01:23 01:24 01:25 01:26 01:27 01:15 01:12 01:09 01:05 01:02 00:59 00:49 00:50 00:51 00:52 00:53 00:54 00:55 00:56 00:57 00:45 00:42 00:39 00:35 00:32 00:29 00:19 00:20 00:21 00:22 00:23 00:24 00:25 00:26 00:27 00:15 00:12 00:09 00:05 00:02 04:58 04:46 04:47 04:43 04:44 04:40 04:41 04:36 04:37 04:33 04:34 04:30 04:31 04:28 04:16 04:17 04:13 04:14 04:10 04:11 04:06 04:07 04:03 04:04 04:00 04:01 03:58 03:46 03:47 03:43 03:44 03:40 03:41 03:36 03:37 03:33 03:34 03:30 03:31 03:28 03:16 03:17 03:13 03:14 03:10 03:11 03:06 03:07 03:03 03:04 03:00 03:01 02:48 02:38 02:18 02:08 01:58 01:46 01:47 01:43 01:44 01:40 01:41 01:36 01:37 01:33 01:34 01:30 01:31 01:28 01:16 01:17 01:13 01:14 01:10 01:11 01:06 01:07 01:03 01:04 01:00 01:01 00:58 00:46 00:47 00:43 00:44 00:40 00:41 00:36 00:37 00:33 00:34 00:30 00:31 00:28 00:16 00:17 00:13 00:14 00:10 00:11 00:06 00:07 00:03 00:04 00:00 00:01 04:48 04:38 04:18 04:08 03:48 03:38 03:18 03:08 01:48 01:38 01:18 01:08 00:48 00:38 00:18 00:08 d, x + y = 16 02:59 02:55 02:52 02:29 02:25 02:22 04:59 05:00 04:49 04:50 04:51 04:52 04:53 04:54 04:55 04:56 04:57 04:45 04:42 04:39 04:35 04:32 04:29 04:19 04:20 04:21 04:22 04:23 04:24 04:25 04:26 04:27 04:15 04:12 04:09 04:05 04:02 03:59 03:49 03:50 03:51 03:52 03:53 03:54 03:55 03:56 03:57 03:45 03:42 03:39 03:35 03:32 03:29 03:19 03:20 03:21 03:22 03:23 03:24 03:25 03:26 03:27 03:15 03:12 03:09 03:05 03:02 02:56 02:57 02:58 02:53 02:54 02:49 02:50 02:51 02:39 02:40 02:41 02:42 02:43 02:44 02:45 02:46 02:47 02:30 02:31 02:32 02:33 02:34 02:35 02:36 02:37 02:26 02:27 02:28 02:23 02:24 02:19 02:20 02:21 02:09 02:10 02:11 02:12 02:13 02:14 02:15 02:16 02:17 01:59 02:00 02:01 02:02 02:03 02:04 02:05 02:06 02:07 01:49 01:50 01:51 01:52 01:53 01:54 01:55 01:56 01:57 01:45 01:42 01:39 01:35 01:32 01:29 01:19 01:20 01:21 01:22 01:23 01:24 01:25 01:26 01:27 01:15 01:12 01:09 01:05 01:02 00:59 00:49 00:50 00:51 00:52 00:53 00:54 00:55 00:56 00:57 00:45 00:42 00:39 00:35 00:32 00:29 00:19 00:20 00:21 00:22 00:23 00:24 00:25 00:26 00:27 00:15 00:12 00:09 00:05 00:02 04:58 04:46 04:47 04:43 04:44 04:40 04:41 04:36 04:37 04:33 04:34 04:30 04:31 04:28 04:16 04:17 04:13 04:14 04:10 04:11 04:06 04:07 04:03 04:04 04:00 04:01 03:58 03:46 03:47 03:43 03:44 03:40 03:41 03:36 03:37 03:33 03:34 03:30 03:31 03:28 03:16 03:17 03:13 03:14 03:10 03:11 03:06 03:07 03:03 03:04 03:00 03:01 02:48 02:38 02:18 02:08 01:58 01:46 01:47 01:43 01:44 01:40 01:41 01:36 01:37 01:33 01:34 01:30 01:31 01:28 01:16 01:17 01:13 01:14 01:10 01:11 01:06 01:07 01:03 01:04 01:00 01:01 00:58 00:46 00:47 00:43 00:44 00:40 00:41 00:36 00:37 00:33 00:34 00:30 00:31 00:28 00:16 00:17 00:13 00:14 00:10 00:11 00:06 00:07 00:03 00:04 00:00 00:01 04:48 04:38 04:18 04:08 03:48 03:38 03:18 03:08 01:48 01:38 01:18 01:08 00:48 00:38 00:18 00:08 02:59 02:55 02:52 02:29 02:25 02:22 04:59 04:55 04:52 04:29 04:25 04:22 03:59 03:55 03:52 03:29 03:25 03:22 02:56 02:57 02:53 02:54 02:49 02:50 02:51 02:45 02:42 02:39 02:35 02:32 02:26 02:27 02:23 02:24 02:19 02:20 02:21 02:15 02:12 02:09 02:05 02:02 01:59 01:55 01:52 01:29 01:25 01:22 00:59 00:55 00:52 00:29 00:25 00:22 05:00 04:56 04:57 04:58 04:53 04:54 04:49 04:50 04:51 04:39 04:40 04:41 04:42 04:43 04:44 04:45 04:46 04:47 04:30 04:31 04:32 04:33 04:34 04:35 04:36 04:37 04:26 04:27 04:28 04:23 04:24 04:19 04:20 04:21 04:09 04:10 04:11 04:12 04:13 04:14 04:15 04:16 04:17 04:00 04:01 04:02 04:03 04:04 04:05 04:06 04:07 03:56 03:57 03:58 03:53 03:54 03:49 03:50 03:51 03:39 03:40 03:41 03:42 03:43 03:44 03:45 03:46 03:47 03:30 03:31 03:32 03:33 03:34 03:35 03:36 03:37 03:26 03:27 03:28 03:23 03:24 03:19 03:20 03:21 03:09 03:10 03:11 03:12 03:13 03:14 03:15 03:16 03:17 03:00 03:01 03:02 03:03 03:04 03:05 03:06 03:07 02:58 02:46 02:47 02:48 02:43 02:44 02:40 02:41 02:36 02:37 02:38 02:33 02:34 02:30 02:31 02:28 02:16 02:17 02:18 02:13 02:14 02:10 02:11 02:06 02:07 02:08 02:03 02:04 02:00 02:01 01:56 01:57 01:58 01:53 01:54 01:49 01:50 01:51 01:39 01:40 01:41 01:42 01:43 01:44 01:45 01:46 01:47 01:30 01:31 01:32 01:33 01:34 01:35 01:36 01:37 01:26 01:27 01:28 01:23 01:24 01:19 01:20 01:21 01:09 01:10 01:11 01:12 01:13 01:14 01:15 01:16 01:17 01:00 01:01 01:02 01:03 01:04 01:05 01:06 01:07 00:56 00:57 00:58 00:53 00:54 00:49 00:50 00:51 00:39 00:40 00:41 00:42 00:43 00:44 00:45 00:46 00:47 00:30 00:31 00:32 00:33 00:34 00:35 00:36 00:37 00:26 00:27 00:28 00:23 00:24 00:19 00:20 00:21 00:09 00:10 00:11 00:12 00:13 00:14 00:15 00:16 00:17 00:00 00:01 00:02 00:03 00:04 00:05 00:06 00:07 04:48 04:38 04:18 04:08 03:48 03:38 03:18 03:08 01:48 01:38 01:18 01:08 00:48 00:38 00:18 00:08 04:59 04:55 04:52 04:29 04:25 04:22 03:59 03:55 03:52 03:29 03:25 03:22 02:59 02:49 02:50 02:51 02:52 02:53 02:54 02:55 02:56 02:57 02:45 02:42 02:39 02:35 02:32 02:29 02:19 02:20 02:21 02:22 02:23 02:24 02:25 02:26 02:27 02:15 02:12 02:09 02:05 02:02 01:59 01:55 01:52 01:29 01:25 01:22 00:59 00:55 00:52 00:29 00:25 00:22 05:00 04:56 04:57 04:53 04:54 04:49 04:50 04:51 04:45 04:42 04:39 04:35 04:32 04:26 04:27 04:23 04:24 04:19 04:20 04:21 04:15 04:12 04:09 04:05 04:02 03:56 03:57 03:53 03:54 03:49 03:50 03:51 03:45 03:42 03:39 03:35 03:32 03:26 03:27 03:23 03:24 03:19 03:20 03:21 03:15 03:12 03:09 03:05 03:02 02:58 02:46 02:47 02:43 02:44 02:40 02:41 02:36 02:37 02:33 02:34 02:30 02:31 02:28 02:16 02:17 02:13 02:14 02:10 02:11 02:06 02:07 02:03 02:04 02:00 02:01 01:56 01:57 01:53 01:54 01:49 01:50 01:51 01:45 01:42 01:39 01:35 01:32 01:26 01:27 01:23 01:24 01:19 01:20 01:21 01:15 01:12 01:09 01:05 01:02 00:56 00:57 00:53 00:54 00:49 00:50 00:51 00:45 00:42 00:39 00:35 00:32 00:26 00:27 00:23 00:24 00:19 00:20 00:21 00:15 00:12 00:09 00:05 00:02 04:58 04:46 04:47 04:48 04:43 04:44 04:40 04:41 04:36 04:37 04:38 04:33 04:34 04:30 04:31 04:28 04:16 04:17 04:18 04:13 04:14 04:10 04:11 04:06 04:07 04:08 04:03 04:04 04:00 04:01 03:58 03:46 03:47 03:48 03:43 03:44 03:40 03:41 03:36 03:37 03:38 03:33 03:34 03:30 03:31 03:28 03:16 03:17 03:18 03:13 03:14 03:10 03:11 03:06 03:07 03:08 03:03 03:04 03:00 03:01 02:48 02:38 02:18 02:08 01:58 01:46 01:47 01:48 01:43 01:44 01:40 01:41 01:36 01:37 01:38 01:33 01:34 01:30 01:31 01:28 01:16 01:17 01:18 01:13 01:14 01:10 01:11 01:06 01:07 01:08 01:03 01:04 01:00 01:01 00:58 00:46 00:47 00:48 00:43 00:44 00:40 00:41 00:36 00:37 00:38 00:33 00:34 00:30 00:31 00:28 00:16 00:17 00:18 00:13 00:14 00:10 00:11 00:06 00:07 00:08 00:03 00:04 00:00 00:01 II BÀI TẬP Xác định yếu tố liên quan đến hình dạng elip Bài tập 2: Xác định độ dài trục, tiêu cự tọa độ đỉnh, tiêu điểm elip sau? x2 y a, + =1 16 x2 y2 b, + =1 25 02:59 02:55 02:52 02:29 02:25 02:22 04:59 04:55 04:52 04:29 04:25 04:22 03:59 03:55 03:52 03:29 03:25 03:22 02:56 02:57 02:53 02:54 02:49 02:50 02:51 02:45 02:42 02:39 02:35 02:32 02:26 02:27 02:23 02:24 02:19 02:20 02:21 02:15 02:12 02:09 02:05 02:02 01:59 01:55 01:52 01:29 01:25 01:22 00:59 00:55 00:52 00:29 00:25 00:22 05:00 04:56 04:57 04:58 04:53 04:54 04:49 04:50 04:51 04:39 04:40 04:41 04:42 04:43 04:44 04:45 04:46 04:47 04:30 04:31 04:32 04:33 04:34 04:35 04:36 04:37 04:26 04:27 04:28 04:23 04:24 04:19 04:20 04:21 04:09 04:10 04:11 04:12 04:13 04:14 04:15 04:16 04:17 04:00 04:01 04:02 04:03 04:04 04:05 04:06 04:07 03:56 03:57 03:58 03:53 03:54 03:49 03:50 03:51 03:39 03:40 03:41 03:42 03:43 03:44 03:45 03:46 03:47 03:30 03:31 03:32 03:33 03:34 03:35 03:36 03:37 03:26 03:27 03:28 03:23 03:24 03:19 03:20 03:21 03:09 03:10 03:11 03:12 03:13 03:14 03:15 03:16 03:17 03:00 03:01 03:02 03:03 03:04 03:05 03:06 03:07 02:58 02:46 02:47 02:48 02:43 02:44 02:40 02:41 02:36 02:37 02:38 02:33 02:34 02:30 02:31 02:28 02:16 02:17 02:18 02:13 02:14 02:10 02:11 02:06 02:07 02:08 02:03 02:04 02:00 02:01 01:56 01:57 01:58 01:53 01:54 01:49 01:50 01:51 01:39 01:40 01:41 01:42 01:43 01:44 01:45 01:46 01:47 01:30 01:31 01:32 01:33 01:34 01:35 01:36 01:37 01:26 01:27 01:28 01:23 01:24 01:19 01:20 01:21 01:09 01:10 01:11 01:12 01:13 01:14 01:15 01:16 01:17 01:00 01:01 01:02 01:03 01:04 01:05 01:06 01:07 00:56 00:57 00:58 00:53 00:54 00:49 00:50 00:51 00:39 00:40 00:41 00:42 00:43 00:44 00:45 00:46 00:47 00:30 00:31 00:32 00:33 00:34 00:35 00:36 00:37 00:26 00:27 00:28 00:23 00:24 00:19 00:20 00:21 00:09 00:10 00:11 00:12 00:13 00:14 00:15 00:16 00:17 00:00 00:01 00:02 00:03 00:04 00:05 00:06 00:07 04:48 04:38 04:18 04:08 03:48 03:38 03:18 03:08 01:48 01:38 01:18 01:08 00:48 00:38 00:18 00:08 II BÀI TẬP lập phương trình tắc elip Bài tập 3: Viết phương trình tắc elip (E) trường hợp sau? a, (E) có độ dài trục lớn, trục bé b, (E) có độ dài trục lớn 10, tiêu cự 02:59 02:55 02:52 02:29 02:25 02:22 04:59 04:55 04:52 04:29 04:25 04:22 03:59 03:55 03:52 03:29 03:25 03:22 02:56 02:57 02:53 02:54 02:49 02:50 02:51 02:45 02:42 02:39 02:35 02:32 02:26 02:27 02:23 02:24 02:19 02:20 02:21 02:15 02:12 02:09 02:05 02:02 01:59 01:55 01:52 01:29 01:25 01:22 00:59 00:55 00:52 00:29 00:25 00:22 05:00 04:56 04:57 04:58 04:53 04:54 04:49 04:50 04:51 04:39 04:40 04:41 04:42 04:43 04:44 04:45 04:46 04:47 04:30 04:31 04:32 04:33 04:34 04:35 04:36 04:37 04:26 04:27 04:28 04:23 04:24 04:19 04:20 04:21 04:09 04:10 04:11 04:12 04:13 04:14 04:15 04:16 04:17 04:00 04:01 04:02 04:03 04:04 04:05 04:06 04:07 03:56 03:57 03:58 03:53 03:54 03:49 03:50 03:51 03:39 03:40 03:41 03:42 03:43 03:44 03:45 03:46 03:47 03:30 03:31 03:32 03:33 03:34 03:35 03:36 03:37 03:26 03:27 03:28 03:23 03:24 03:19 03:20 03:21 03:09 03:10 03:11 03:12 03:13 03:14 03:15 03:16 03:17 03:00 03:01 03:02 03:03 03:04 03:05 03:06 03:07 02:58 02:46 02:47 02:48 02:43 02:44 02:40 02:41 02:36 02:37 02:38 02:33 02:34 02:30 02:31 02:28 02:16 02:17 02:18 02:13 02:14 02:10 02:11 02:06 02:07 02:08 02:03 02:04 02:00 02:01 01:56 01:57 01:58 01:53 01:54 01:49 01:50 01:51 01:39 01:40 01:41 01:42 01:43 01:44 01:45 01:46 01:47 01:30 01:31 01:32 01:33 01:34 01:35 01:36 01:37 01:26 01:27 01:28 01:23 01:24 01:19 01:20 01:21 01:09 01:10 01:11 01:12 01:13 01:14 01:15 01:16 01:17 01:00 01:01 01:02 01:03 01:04 01:05 01:06 01:07 00:56 00:57 00:58 00:53 00:54 00:49 00:50 00:51 00:39 00:40 00:41 00:42 00:43 00:44 00:45 00:46 00:47 00:30 00:31 00:32 00:33 00:34 00:35 00:36 00:37 00:26 00:27 00:28 00:23 00:24 00:19 00:20 00:21 00:09 00:10 00:11 00:12 00:13 00:14 00:15 00:16 00:17 00:00 00:01 00:02 00:03 00:04 00:05 00:06 00:07 04:48 04:38 04:18 04:08 03:48 03:38 03:18 03:08 01:48 01:38 01:18 01:08 00:48 00:38 00:18 00:08 Bài tập 4: Một đường hầm xuyên qua núi có chiều rộng 20 m, mặt cắt đứng đường hầm có dạng nửa elip Biết tỉ số c = a Hãy tìm chiều cao đường hầm đó? B2 ? A1 O 20 A2 IV VẬN DỤNG, TÌM TỊI, MỞ RỘNG Elip phép co đường tròn - Elip giãn nở thành hình tròn cho tiêu cự c elip nhỏ, tức trục bé elip gần trục lớn - Hình tròn co lại thành elip thơng qua phép co hệ số k thích hợp Bài tập 5: Bài tốn. Trong mặt phẳng tọa độ, cho đường tròn (C ) có 2 phương trình x  + y  = a  và số k (0 < k < 1) Với điểm M(x ; y) (C ), lấy điểm M’(x’ ; y’) cho x’ = x y’ = ky Tìm tập hợp điểm M’ IV VẬN DỤNG, TÌM TỊI, MỞ RỘNG 2/Tính phản xạ ellipse có nghĩa : tia sáng xuất phát từ hai tiêu điểm ellipse, chiếu tới bề mặt ellipse, phản xạ ra, tia phản xạ qua tiêu điểm lại Khái niệm phản xạ trong hình học phẳng hình dung sau : gọi tia đường thẳng d, đường tới ellipse tức cắt ellipse điểm gọi là A Tại điểm A này, ta vẽ đường Ax tiếp xúc với ellipse, sau dựng đường vng góc Ay vớ Ax. Tia d’ qua A và đối xứng với d qua Ay chính tia phản xạ của d. ( xem BTVN, tự kiểm tra) ... có dạng nửa elip Biết tỉ số c = a Hãy tìm chiều cao đường hầm đó? B2 ? A1 O 20 A2 IV VẬN DỤNG, TÌM TỊI, MỞ RỘNG Elip phép co đường tròn - Elip giãn nở thành hình tròn cho tiêu cự c elip nhỏ, tức... 00:00 00:01 II BÀI TẬP Xác định yếu tố liên quan đến hình dạng elip Bài tập 2: Xác định độ dài trục, tiêu cự tọa độ đỉnh, tiêu điểm elip sau? x2 y a, + =1 16 x2 y2 b, + =1 25 02:59 02:55 02:52... 01:48 01:38 01:18 01:08 00:48 00:38 00:18 00:08 II BÀI TẬP lập phương trình tắc elip Bài tập 3: Viết phương trình tắc elip (E) trường hợp sau? a, (E) có độ dài trục lớn, trục bé b, (E) có độ dài