Grade

Subject

Type of questions

Mathematics Senior High

(2)の青線部分が分かりません。なぜこうなるか、図など含めて教えてください🙇‍♀️

例題 262 メネラウスの定理と面積比 △ABCの3辺BC, CA, AB をそれぞれ1:2に内分する点をL,M,Nと し, ALCN の交点を P, ALとBM の交点を Q, BM と CN の交点を とする。 次の三角形の面積を △ABCの面積Sを用いて表せ。 (2) APQR (1) ABCR ReAction 高さ (底辺) の等しい三角形の面積比は, 底辺 (高さ)の比とせよ 逆向きに考える 例題255 見方を変える (1) BCR から始めて, △ABC へ広げていくには, どの線分の比が必要だろうか? ABCRと 似た構図 直接求めるか? M (2) APQR △ABC- (△PQR以外の部分) と考えるか? R B L (1) C 思考プロセス 解 (1) AN:NB = 1:2であり, CM:MA = 1:2よりで変わることは、 CM: AC=1:3 (3) 22 M ① R よって, △ABM と直線 CN につ いて, メネラウスの定理により B △BCR → △BCM →△ABCと広げていく ために, BMBRをメネ ラウスの定理を用いて求 める。 AC MR BN = 1 CM RB NA 3 MR 2 RM =1より 1 RB 1 BR 16 2 TMB LQ AAA <P (6) C よって RM:BR = 1:6 ゆえに BM:BR = 7:6 例題 255 したがって 6 ABCR = ABCM= 6 . -△ABC 7 7 1/3AABC=2S ACM: AC=1:3 例題 255 (2)と同様に, △BCN と直線 AL, △CAL と直線 BM について, メネ ラウスの定理を用いると BA NP CL =1より AN PC LB 3 NP 2 =1 1 PC 1 △CAP=△ABQ= よって P 2 M S R B L LAPQR = AABC-(ABCR+ACAP + AABQ) =S-3・ S よって NP:PC = 1:6 CB LQAM " BLQA MC M3 LQ 2 1 QA1 =1より よって LQ:QA=1:6

Unresolved Answers: 2
English Senior High

21番です。 なぜ、対比の訳になるのか教えていただきたいです🙏

IV 次の英文を読み, 空所 19~ VR肢①~④から1つずつ選びなさい。 問題 23を埋めるのに文脈上最も適切なものを、それぞれ下の選 Sixty-five million years later, the extinction of the dinosaurs remains a great mystery. Scientists think that dinosaurs existed on Earth for almost 200 million years. 19 could these great beasts, some of which weighed thousands of pounds and stood 100 feet tall, suddenly disappear? 11 The most popular theory is that the dinosaurs were killed off when an asteroid into southern Mexico. The asteroid's collision caused earthquakes, fires, and tidal waves. Volcanoes erupted, spewing poisonous gases into the sky and lowering the oxygen level in the oceans. Plants died, removing the food source for plant-eating dinosaurs. As these dinosaurs died, there was no food for meat-eating dinosaurs. In a short period of time, the dinosaurs were gone, and the first mammals began to appear. Many scientists note that, 21 the asteroid had a major impact, the Earth's climate had already scientists claim that mammals already on Earth before the asteroid might have 22 the extinction begun to change. The planet was cooling, and the colder temperatures were likely killing plants. Some by eating dinosaur eggs. We may never know for certain what caused the extinction of the dinosaurs. But it was most likely the result of a combination of the asteroid, colder climates, and egg-stealing mammals 23 the single event of the asteroid hitting the Earth. 2024年度 全学 Casey Malarcher et al., Reading for the Real World 1, Second edition When ② 19 What 3 Who 4 How came ② carried 20 3 crashed 4 burst 21 while once 3 unless 4 yet 22 ① governed obstructed 3 facilitated 4 united 23 1 other than rather than ③ except for 4 owing to

Unresolved Answers: 1