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数学 高校生

OQ=PQになるのは何故ですか?

240 第3章 図形と計量 例題 141 球と接する立体 右図のように、 底面の一辺が長さ2の正方形,側面の ○ 4つの三角形がすべて二等辺三角形である正四角錐 HO OABCD がある.また, 球 S はこの正四角錐の5つの 面と接し,球S2 はこの正四角錐の4つの面と球Sに 接している. 球S と S2 の半径の比が2:1のとき, 正四角錐 OABCD の高さを求めよ. 若半 0 B 考え方 辺AD,BCの中点をそれぞれ M, N とし, 平面 OMN で切った切断面を考える. anoronz ■解答 球 S, S2 の中心をそれぞれP Q とし 半径をそれぞれ1, 2 とする Focus AD, BCの中点をそれぞれ M, )また,辺 34 Nとし, この正四角錐 OABCD を平面 OMN で切ったときの切断面を考え, 球S1, S2 と辺OM の接点をそれぞれK, Lとし, 球 S1 と辺 MN の接点をHとする。 球 Si と S2 の半径の比は2:1より, r₁=2r₂ TE M OQ ここで,0°<0<90°より, cos0 >0 だから, sin O 1 したがって cos 2√2 HO tan0= よって, また, OPKSOQL であり, 相似比は2:1 よって, 0Q=PQ=n+1=2r+r2=3/2(金) また,∠QOL=0 とおくと, OH=- また, MH=1/12MN=121AB=1 MH tan 0 10 1 = 2√2 HO 2√2 12 L Kri = Q sine=QL r2_1 312 3 P H COS = 小中心 3 -2√2 N 2√2 3 M H K **** 0 S₁ 空間図形については、切断面で考える 切断をする際は,どの平面で切ると楽になるかを考える Q ri sin20+cos20=1 tan 0= MH OH

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英語 中学生

英語のリーディングの問題を、S V O C 、() 、→ などを書いていつも訳しています ՞ ՞ 文の構造をしっかり理解しようと思ってしているのですが、テストでだと時間的にやめた方が良いですか ?? 慣れてきたのか最初よりは書き込みも早くなったとは感じますが … ... 続きを読む

a a high school student in Japan> He is from Australia. He finds two of his friends, Hikari a (+"=> in their classroom and talks to them. of our S : Hi, Hikari, Takuma. What are you looking at? : Hi, John. We are looking at *results of a *survey about the school trip) O ↑ In the survey, 243 first-grade students(at our high school were asked the question: "Where you want to go on the school trip?" Look at this *graph. V : Oh, the most popular place is Okinawa. I understand that because we can swim in C beautiful sea and its culture is very interesting. Have you ever been to Okinawa? (1127 くどこ : Yes. I went there on an *elementary school trip and a family trip last year. My best me O s in Okinawa is *snorkeling in the sea. There were a lot of beautiful fish in the water, and S V excited when I saw them. I had a really good time during each of the trips. LEES くりつ) : I went there on the school trip when I was a second-grade student (at junior high s 12x During the trip, we didn't stay at a hotel. <+1>> : Oh, really? Where did you stay then? Sone houses くどこう : We visited some houses and stayed there. I stayed at Mr. Higa's house. He and his Cat=r=" were very kind and did many things for me. For example, they took me to some V places and made me some traditional dishes. I also had an experience (of taking care サトウキビ cane in their field. I had no chance to see sugar cane before coming to that field) S very interesting. Staying with Mr. Higa and his family is my best memory in Okinaw : Wow, you both enjoyed staying in Okinawa. I have become more interested in visi 動名詞 ↑ listening to your stories. 化現在完了形 S : I'm happy about that. If you visit Okinawa, you will like it very much, too. : Well, I've heard that a lot of students go to Kyoto or Nara on the school trip. But (Y" => S SV shows that only fifty students want to go there. I'm a little surprised about that. And V is more popular than Kyoto and Nara 最上 S : Look! Some foreign countries were chosen, too. And your country is the most them all) gift no : I'm happy about that. *Hawaii is also popular, right? 自然と同じくらい SV S V : Yes, it's as popular as Nara. A lot of Japanese people go there on their trips ev S V

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