WEBVTT 00:00:00.690 --> 00:00:03.370 Sæt udtrykkene i rækkefølge efter værdi. 00:00:03.370 --> 00:00:05.640 Du kan sætte et vilkårligt antal kort i en kategori 00:00:05.640 --> 00:00:07.717 eller have en tom kategori. 00:00:07.717 --> 00:00:09.550 Vi har her et diagram 00:00:09.550 --> 00:00:12.310 så har vi disse kort med udtryk. 00:00:12.310 --> 00:00:15.416 og vi skal sorterer dem i disse bunker. 00:00:15.416 --> 00:00:16.790 vi skal altså prøve at sige 00:00:16.790 --> 00:00:20.000 hvad er længden af linjestykke AC over længden af 00:00:20.000 --> 00:00:21.030 linjestykke BC? 00:00:21.030 --> 00:00:23.130 Hvilke af disse udtryk er lig med det? 00:00:23.130 --> 00:00:27.109 Så skal vi trække det over i det rette felt. 00:00:27.109 --> 00:00:28.650 For at finde ud af dem, 00:00:28.650 --> 00:00:32.750 så har jeg allerede genlavet opgave 00:00:32.750 --> 00:00:35.050 på min lille scratchpad eller tavle 00:00:35.050 --> 00:00:36.220 eller hvad du vil kalde det. 00:00:36.220 --> 00:00:37.960 Her er det samme diagram. 00:00:37.960 --> 00:00:39.110 bare en smule større. 00:00:39.110 --> 00:00:41.799 Her er udtrykene som vi skal trække derover. 00:00:41.799 --> 00:00:43.340 Her er de spande vi skal bruge 00:00:43.340 --> 00:00:45.506 til at finde ud af hvilke af disse udtryk der er lig 00:00:45.506 --> 00:00:46.930 med hvilke af disse udtryk. 00:00:46.930 --> 00:00:48.510 Lad os se på den første. 00:00:48.510 --> 00:00:52.530 Længden af linjestykke AC over længden af linjestykke BC. 00:00:52.530 --> 00:00:54.089 Lad os se på hvad AC er. 00:00:54.089 --> 00:00:55.130 Længden af linjestykke AC. 00:00:55.130 --> 00:00:57.460 AC er lige her. 00:00:57.460 --> 00:01:02.480 Denne længde her i lilla over 00:01:02.480 --> 00:01:07.280 længen af linjestykke BC, altså over denne længde her. 00:01:07.280 --> 00:01:11.040 Det er forholdet mellem 00:01:11.040 --> 00:01:12.560 to sider i en retvinklet trekant. 00:01:12.560 --> 00:01:17.525 Dette er tydeligvis en retvinklet trekant trekant ABC: 00:01:17.525 --> 00:01:18.900 Jeg farver den lige, så du kan se, 00:01:18.900 --> 00:01:20.608 hvilken trekant jeg mener. 00:01:20.608 --> 00:01:24.730 Trekant ABC er hele denne trekant, 00:01:24.730 --> 00:01:26.112 som vi skal se på. 00:01:26.112 --> 00:01:27.820 Du kan nok se at det er rimeligt 00:01:27.820 --> 00:01:29.820 at forholdet mellem to af siderne i en retvinklet trekant 00:01:29.820 --> 00:01:32.440 er lig sinus til en af dets vinkler. 00:01:32.440 --> 00:01:35.040 Og de giver os en af vinklerne her. 00:01:35.040 --> 00:01:38.684 De giver os denne vinkel her. 00:01:38.684 --> 00:01:40.600 Du siger, men de mærkede blot vinklen. 00:01:40.600 --> 00:01:43.360 ja men se, en bue her og en bue her. 00:01:43.360 --> 00:01:46.880 Så de steder vi ser en bue, så er det 30 grader. 00:01:46.880 --> 00:01:48.900 Dette er også 30 grader. 00:01:48.900 --> 00:01:51.052 Du har to buer her, så det er 41 grader. 00:01:51.052 --> 00:01:53.260 To buer her, så den er kongruent med den. 00:01:53.260 --> 00:01:55.070 Denne her er 41 grader. 00:01:55.070 --> 00:01:55.940 Denne har tre buer. 00:01:55.940 --> 00:01:58.360 De fortæller os ikke, hvor mange grader det er, 00:01:58.360 --> 00:02:00.160 men det 00:02:00.160 --> 00:02:02.380 00:02:02.380 --> 00:02:03.290 00:02:03.290 --> 00:02:06.990 00:02:06.990 --> 00:02:10.620 00:02:10.620 --> 00:02:12.590 00:02:12.590 --> 00:02:15.860 00:02:15.860 --> 00:02:18.610 00:02:18.610 --> 00:02:22.270 00:02:22.270 --> 00:02:25.190 00:02:25.190 --> 00:02:26.606 00:02:29.140 --> 00:02:30.510 00:02:30.510 --> 00:02:33.510 00:02:33.510 --> 00:02:36.030 00:02:36.030 --> 00:02:38.860 00:02:38.860 --> 00:02:44.050 00:02:44.050 --> 00:02:48.220 00:02:48.220 --> 00:02:50.790 00:02:50.790 --> 00:02:54.700 00:02:54.700 --> 00:02:57.840 00:02:57.840 --> 00:03:01.700 00:03:01.700 --> 00:03:06.950 00:03:06.950 --> 00:03:11.580 00:03:11.580 --> 00:03:17.080 00:03:17.080 --> 00:03:18.840 00:03:18.840 --> 00:03:22.120 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