学年

教科

質問の種類

数学 中学生

 確率 塾技解説…のマーカーで引いた部分の4はどこから出てきたのか教えてください

塾技 33 場合の数・確率 ② 順列 異なるn個のものから、 異なるr個を選んで並べる並べ方を順列 (permutation)といい „Pで表す。 „P,=nx(n-1)x(n-2)x...×(n-r+1) 個の積 組み合わせ 異なるn個のものから、 異なるr個を選ぶ選び方を組み合わせ (combination)といい n C で表す。 塾技 解説 „C₁ = P² Pr nx(n-1)x(n-2)x...x(n-r+1) rx(r-1)x...×2×1 = 場合の数・確率の問題には ① 選んで並べる問題(順列の問題という), ②選ぶだけで, 並べる順序は関係ない問題 (組み合わせの問題という)の2つのパターンがある けた ①の例 ① 1 2 3 4 5 の5枚のカードから3枚選んで3桁の整数を作る。 何通りの整数が作れますか。 この例は,3枚選んで、順に百の位・十の位一の位と並べるので順列!よって, P3=5×4×3=60 (通り) GALER ②の例 A,B,C,D,E の5人から3人を選んでグループを作る。 何通りのグループが作れますか。 この例は,5人から3人選ぶだけなので組み合わせ よって, 12 = =10 (通り) 3×2×1 5P3 (5人から3人を選んで順に並べる並べ方)5×4×3 5Cg= 3P3 (選んだ3人の並べ方) 3P 3 で割る理由は,重複があるから。 例えば A,B,Cの3人を選んで並べる並べ方は, (A,B,C), (A, C, B), (B, A, C), (B,C, A), (C, A, B), (C, B, A) の6通り あるけど, グループとして考えたらどれも同じ3人だよね。 だから、 異なる3人を並べ る並べ方 (3P3) で割るというわけなんだ。 入試 問題1 るか 「解」 両端 男

解決済み 回答数: 1
英語 中学生

この問題の⑵の問題で回答が2枚目の写真なのですが、私の答え方が He started to run.です この答えは❌ですか?

次の英文を読んで,あとの問い *long-distance Takeshi did not like the sports day because everyone had to run in a race. When he thought about last year's race, he became sad. He was the last person in the race. This year he did not want to run. W When he came home, his mother said to him, "Is the sports day next month, Takeshi?" "Yes, that's right," he answered and went into his room quickly. He did not want his mother to know his true *feelings. In his room he remembered last year's sports day. "It I was so hard and I was *miserable. I don't want to be the last person this year," he thought. “I have one month before the day. I will start practicing tomorrow." On the next day, he started to run after getting home. He ran from his house to the 10 station every evening before dinner. It took over twenty minutes. Three days passed. It still took over twenty minutes. One week went by, but he could not run faster. He *was almost giving up.(*) 5 () long-distance race E SESUCH feelings 5 miserable みじめな was almost giving up ほとんどあきらめそうだった LEAUAJES DREN 問 次の(1) (2)の質問に,それぞれ指定された語数の英文で答えなさい。 ただし、 符号(,.?! な ど) は, 語数には含まないものとする。 (1) Did Takeshi become happy when he remembered last year's sports day? (3) COMO (2) What did Takeshi do every evening for this year's sports day? (2E)

解決済み 回答数: 1
英語 中学生

回答を解説含め教えて頂きたいです🙇‍♀️🙏

問題10 【思考・判断・表現】 (2×9=18) 健(Ken)はクラスの友達に切手 (stamp) と地図 (map) を見せながら、ブータン王国 ( Bhutan)に住む文通相手 (pen pal)のタシ (Tashi) との交通についてスピーチをしてい ます。 次の英文を読んで、あとの (ア) ~ (ケ)の各問いに答えなさい。 0275 300q sit zow stoloporlo to roteir sdt bib 9W (1) Hi, everyone. I'm going to talk about my pen pal. Please look at this stamp. Have you ? Tashi, my pen pal ever seen a big stamp like this? It's not a Japanese stamp. Then ( 1 )? TIDS Satplopo tuodo in Bhutan, sent it to me last week. Bhutan has interesting stamps. I'll talk a little about Syobot pluqoq Bhutan. Please look at this map. Bhutan is between China and India. It's bigger than Kyushu NW (E) and has many high mountains. People in that country have clothes like Japanese kimonos, and they grow and eat rice. Tashi and I became pen pals last year. I've never seen him, ( 2 ) I've seen his father. in the Meiji pen His father came to Japan to study at college, and my mother was his Japanese teacher. t in Japan. They tre When she brought him to our house, he told me about his family. He said, "My son is as old LA 111. SIDIO Snipsd as you. He wanted to come to Japan with 3me, but he had to stay in Bhutan. He is very bih wohl (S)make interested in Japan and wants a Japanese friend. If you write a letter to him, he will be very ( 4 )." Tashi's father also told me about his country. It was very interesting. So I Sstoloporio svori ot sent a letter to Tashi, and we started writing letters to each other. We write letters in English. I didn't like writing English before, but now I enjoy it. Tashi writes English very well because teachers in Bhutan usually speak English when they teach. He sometimes uses difficult words in his letters, so I need a ( 5 ) to read them. We write about our countries, schools, families, and friends. He uses beautiful stamps to him, too. Thank you for listening.

回答募集中 回答数: 0
英語 中学生

問5でthe peopleではだめなんでしょうか? peopleだけの方がいいのですか?

3 (Yuna) さんとレストランでメニュー (Menu) を見ながら話しています。 メニューと会話を 日本に留学中のロビン (Robin) さんは, クラスメートの健太 (Kenta)さん、由奈 読んで、あとの各問に答えなさい。 (dishes) Hamburger Egg Sandwich Tuna Sandwich Spaghetti with Tomatoes Spaghetti with Seafood Spaghetti with Mushroom Pizza with Potatoes Pizza with 4 Kinds of Cheese Pizza with Seafood ¥300 ¥300 ¥300 ¥450 ¥500 ¥500 ¥500 ¥600 ¥600 Menu (drinks) Coffee Milk Tea Orange Juice (others) Salad Apple Pie Cheese Cake •The tomatoes used in the Spaghetti with Tomatoes are picked in this town. You can order a bigger size of each dish. + 50 yen. •You can get a 100 yen discount if you buy a drink and a salad with any dish. * If you have any questions about this menu, you can ask in English. Robin: Look! This menu is written in English. Kenta: I often see a lot of people from other countries. Many of them speak English. This kind of menu will help those people. They can order in English Robin I see. easily. ¥200 ¥250 ¥250 ¥280 Yuna Right. Also, it says that they can ask questions about the menu in English. That means people working in this restaurant speak English, right? Now, what are we going to eat? Robin : A yen. Kenta: I'm going to order a dish made with bread. I don't want to eat spaghetti or pizza. Robin: Then you can choose one of these three dishes. Each one is three hundred Kenta: I don't want to eat egg or tuna today. So I'll choose あ Robin: How about you, Yuna? How about you, Robin? Robin: I love cheese, so I'll have a pizza with 4 kinds of cheese. Yuna You can choose a bigger size. (1) Robin: Oh, yes. I want a bigger size because Kenta: I'd like a bigger size, too. And a coffee. ¥250 ¥250 ¥280 Thank you. Yuna : I'm going to eat spaghetti or pizza. Which should I choose? pictures at the front door of this restaurant. choose/look/ that/ can't/good) one from them. Robin: The menu says that the tomatoes used in the spaghetti are picked in this town. Yuna: Right! I want to eat い So I'll order a spaghetti with tomatoes. I saw their All those dishes (1/so/ eat an apple pie. Do you want an apple pie? Robin: Oh, yes, I'll have that, too, and I'd like a milk with it. Yuna: I'd like a tea and a salad, too. - 3 - Robin: I'd like an apple juice because apples are my favorite fruit. Yuna: They don't have apple juice. The only fruit juice is orange juice, but you can Ke Re Y K Robin: You will get a 100 yen discount because you will (2) Yuna. Yuna: Does the menu say that? Oh, that's true. Won't you order a salad, Kenta?

回答募集中 回答数: 0
数学 中学生

【規則性の問題】 規則性を見つけ、n番目の面積を みたいな問題での規則性の見つけ方がわかりません。コツなどありますか? 特に2枚目(2)は式を自分で思いつける気がしません。 高校では等差数列や等比数列などを学ぶという解答も見たことありますが、それを今どう使えるのかも分かり... 続きを読む

⑥6] 同じ大きさの正三角形の板がたくさんある。 これらの板を, 重 ならないようにすき間なくしきつめて、大きな正三角形を作り, 上の段から順に1段目 2段目3段目 ・・・とする。 右の図のよ うに、 1段目の正三角形の板には1を書き 2段目の正三角形の 板には、左端の板から順に 2 3 4 を書く。 3段目の正三角形の 板には、左端の板から順に 5 6 7 8 9 を書く。 4段目以降の 正三角形の板にも同じように,連続する自然数を書いていく。 たとえば, 4段目の左端の正三角形 の板に書かれている数は10であり, 4段目の右端の正三角形の板に書かれている数は16である。 このとき次の問い (1) (2) に答えよ。 ( 1 ) 7段目の左端の正三角形の板に書かれている数と7段目の右端の正三角形の板に書かれている 数をそれぞれ求めよ。 7段目の左端の正三角形の板に書かれている数( 7段目の右端の正三角形の板に書かれている数( (2) 2段目の左端の正三角形の板に書かれている数と n段目の右端の正三角形の板に書かれている 数の和が1986 であった。 このとき,nの値を求めよ。 ( ) 1 2段目 3段目 4段目 10 1 2 4 6 8 7 9 11 13, 15 12) 14 16 6【解き方】(1) 各段の右端の正三角形の板に書かれている数は, 1段目は1 (12), 2段目は4 (22),3段目 は 9 (32), 4段目は16 (42) ・・・・だから, 7段目の右端の正三角形の板に書かれている数は, 72 = 49 7段目の左端の正三角形の板に書かれている数は、6段目の右端の正三角形に書かれている数より1大きい数 だから, 62 +1 = 37 (2) n段目の左端の正三角形の板に書かれている数は, (n-1)2 +1 = n² - 2n + 2, n段目の右端の正三角形 の板に書かれている数はn² だから,n2-2n+2+n2=1986が成り立つ。 整理して, n2-n-992 = 0 左辺を因数分解して, (n +31) (n-32)=0n>0だから、n=32 【答】 (1) 7段目の左端の正三角形の板に書かれている数) 37 ( 7段目の右端の正三角形の板に書かれている数) 49 (2) 32 310081 IN まって、 Shore 201 GODE QUAT

解決済み 回答数: 1
英語 中学生

この問題の②イ③カなのですがどうしてこの答えになるのですか?

2 ① 43% 40% 3 31% 次の英文は, 南アメリカの先住民に伝わる, クリキンディ (Kurikindi) という名前のハチ ドリ hummingbird) の短い物語を題材に書かれたものです。 (①)~(③)に 最もよく当てはまる語を,それぞれ下のア~カから1つ選び, 記号で答えなさい。 <宮崎県改気 I'd like to introduce a short story of a hummingbird. A hummingbird is a very little bird. The little bird's name in this story is Kurikindi. Kurikindi lived in a forest. One day there was a * fire in the forest. The little bin stayed there and tried to *put out the fire. But all the other animals hurried to *escape. When they saw Kurikindi on the way, they asked Kurikindi, “Why are you doing that?" Kurikindi answered, “I'm only doing something I can do." After ( ① ) this short story, I thought about a few things. For example, did the hummingbird believe he could put out the fire? Why did all the other animals want to escape from the forest? Kurikindi did (②) so small that others thought his *actions meant (③). Many people often think like that. What do you think about Kurikindi? * fire (火事) put out (消す) escape (逃げる) action (行動) ア read イ something ウ reading I came オ excuse カ nothing 動物は いであ はクリ 3 Alt 文にな に bel 分詞と 多く とされ stops 停」と 意味が が競 を選 (要約) 私の 催され 私の女 国人 に駅に い 私は

回答募集中 回答数: 0