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数学 高校生

235の(2)(3)について質問です。AGを求めるときに展開図をつかって考えると、直線になっているので求められないじゃんと思ったんですけど、(2)(3)はどのような図形になるのですか? 教えてほしいです。

19 空間図形の計量 215121 * 234 1辺の長さが1である正四面体 ABCD に外接する球および内接す 23 半径をそれぞれ求めよ。 237F 実戦編 * 235 右の図は,AB=2, AD=3, AE=1の直方 体である。 辺BC上に点Pをとり,点Aから点Pを通って, 点Gまで直線で結ぶ。 E このとき、次の問いに答えよ。 0 (1) AP + PG の最小値を求めよ。 〇(2)(1)のとき,∠APG の大きさを求めよ。 (3) (1) のとき, APG の面積Sを求めよ。 2 F 236 右の図のような, 1辺の長さが1の立方体ABCD- EFGHの対角線 EC に頂点Aから垂線 AK を引く。 ∠EAK, KAB をそれぞれα, β とするとき, cosa, COS β を求めよ。 B 3 解答別冊 p.6 A E H P D B F 2371辺の長さがαの正方形を底面とする四角錐 O-ABCD がある。 OA=OB=OC=OD = αのとき (1) この四角錐の高さをαで表せ。 (2) PAD上に点Qを辺AB上にAP=BQ=xとなるようにと 三角錐 P-AQD の体積を最大にするx を α で表せ。 (3) 0=∠QPD とおく。 x が (2)で求めた値のとき, COSOの値とQPD を求めよ。 - Hint 234 内接する球の半径をrとして正四面体の体積をで表す。 235 展開図で考える。 236 <CAE =∠AKE = 90° であることに注意。 337 (?)から底面に下ろした垂線をOH, Pから底面に下ろした垂線をPHとする

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英語 中学生

英検の過去問なんですが、答えが見つからない ので答えを教えてほしいです

(2) (1) A: Mom, I met a ( B: That's great. 1 famous (5) (6) 1 (18) Grade 4 (8) 2 次の (1) から (15) まで ( に入れるのに最も適切なものを 1,2,3,4の中から一つ選び、その番号のマーク欄をぬりつぶしなさい。 (3) A: When did the Sylvia Hotel open? B: In 1913. It's over a hundred years ( 1 many 2 quiet (4) A: Everyone is here, so we can ( B: OK. 1 visit Mary ( 1 misses day. (7) A: Your ( Ted made some friends at his new school, so he was ( thin 1 2 slow 3 glad Peter became a ( 1 member B: Thank you. 1 question Grade 4 2 next ) soccer player on the train today. 2 start 3 hard 2 bench ) to get a bird for her birthday. 2 picks 3 hopes 1 That's my dream. 3 I'll watch you. 1 Have fun. 3 Not yet. 3 tall 1 Did you make them? 3 Is it finished? Daughter: I will. 1 I'm hungry. 3 stay at home. 3 carry ) of the swimming club. ) is so beautiful! I love seeing the flowers in spring. 2 holiday 3 sound 2 ) the movie now. 3 salad 3 moved (17) Father: How was your band practice today? Son: ( ) We learned a new song. 1 I have a ticket. 3 You're right. I ( ) a bad cold today, so I couldn't have lunch with my grandmother. I was really sad. 1 kept 2 had Mother: Would you like a cupcake? Daughter: Yes, please. ( ) Mother: No, they were on sale at the supermarket. 4 thick (19) Girl: Thanks for studying with me today. Boy: ( ) I enjoyed it. 次の (16) から (20) までの会話について ( に入れるのに最も 適切なものを 1,2,3,4の中から一つ選び、その番号のマーク欄をぬりつ ぶしなさい。 (16) Girl: I love playing the piano. Boy: Do you want to be a professional pianist in the future? Girl: Yes. ( ) 4 old lazy 4 drop 2 After math. 4 No problem. (20) Daughter: Dad, shall I cut the vegetables for the salad? Father: Yes, please, but ( 4 follows He swims every 2 It's my guitar. 4 You can have one. 2 it's a fruit. 4 be careful. 4 towel 4 garden 2 It was fun. 4 It was on the radio. 4 rode 2 Will they be ready? 4 Are you late? (9) (12) Grade 4 (13) A: What can you cook? B: I like to make food from different countries. ( Italian food and Chinese food. 1 For 2 To (10) A: Did you meet the new English teacher? B: Yes, he comes ( 1 until 2 (11) A: What ( (14) 3 ) of dog do you want? B: I want a big dog because I love to go on long walks. 1 room 2 wind 3 kind (22) (15) A: Excuse me. ( B: That one is $10. 1 Where (23) After school, Chris enjoys ( listen to her funny stories. 1 talking 2 opening (24) 4級 354. 34 $18,73 Today, it will snow much ( and I will make a big snowman. 1 harder 2 hard (25) (21) 新しいくつを買ってはどうですか。 1 arplad I love riding my bike to the park, but my sister ( likes to stay at home. 1 haven't 2 doesn't Brush breakfast. 1 ) South Africa. He loves rugby. along 3 This is 10 みが 朝食を食べたら歯を磨きなさい。 (after 2 your 3 you 2番目 1 2 Why (4) 2 ( you buy 3 why 4 new shoes 2番目 4番目 1 2 5 My brother tomorrow. ) much is this T-shirt? 3 2 3 As スープをもっともらえますか。 have ( soup can 2 2 Grade 4 LI 856 次の (21) から (25) までの日本文の意味を表すように ①から⑤までを並べ の中に入れなさい。 そして、2番目と4番目にくるものの かえて 最も適切な組合せを1,2,3,4の中から一つ選び、その番号のマークを ぬりつぶしなさい。 ※ただし, ( の中では、夏のはじめにくる語も 小文字になっています。 2番目 2 over W 4 from 2番目 3 holding BEL はじ これは私の初めてのシンガポール旅行です。 (Singapore 2 my first 4 to ) with his teacher. 3 don't 2② 3 hardest 3 When ) than yesterday. 3 4 eat 5 teeth) 3 4 In 4 3 4 side ) example, (3) some more 3 (5 3 4 asking 5 trip) 5 don't) He likes to 4 isn't (4) (write 2 to 3 by 4 has 5 a report) 2番目 2 4番目 わたし あに あす 私の兄は明日までに, レポートを書かなければいけません。 4 too hard ). 4 How (51) My brother She 4 4番目 ⑤5⑤ - (3) (3) please? 4 3-0

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英語 高校生

答えを教えて欲しいです

Past Tense, Past Progressive (2) Warm Up! (1) ( に入れるのに正しくないものを1つ選んでください。(b) Warm Up He began to practice karate only ( ). 1. recently 2. two weeks earlier 3. these days 4. one week ago Part 2: Grammar Section 《解説と解答》 「彼はつい最近 (2週間早く; 先週) 空手の練習を始めた」 という意味ですから、 3. these days のみが、 過去形の動詞と共に使えない表現です。 these days は 「このごろ (最近)」 という意味で すが、 現在形 現在進行形や現在完了形とともに用います。 Warm Up! (2) ( に入れるのに最適な表現を1つ選んでください。 John didn't want to see me because he () his lunch. 1. once had 2. was having 3. has 4. took 《解説と解答》 「ジョンは昼食中だったので、私に会いたがらなかった」 という意味ですから、 ジョンが私に会い たがらなかった理由を完成させます。 私に会いたがらなかった時に進行していた動作が「昼食を取る」 ことですから 2. was having の過去進行形にするのが適切です。 なお、 have lunch の have は 「食 べる (eat) 」 の意味ですから、この意味の場合haveは進行形で用いることができます。 Exercise 5: Fill in the blanks in these sentences with one of the choices below. 3. A pine tree (a) stands 1. While Cindy. (a) was playing (b) is playing (c) played her violin yesterday, two of her strings broke. (d) has played up late the night before to 2. My paper was due yesterday, so I complete it. (a) stayed (b) stood (b) would stay (c) stay (d) am staying at the gate, and a girl was standing in its shade. (d) standing (c) was standing 4. The car wasn't here yesterday because Jane takes the bus, but the drivers were on strike. (a) uses (b) is using (c) has used 5. One of the boys (a) fall (b) falls 6. When the door bell rang, I (a) take (b) am taking 7. Mr. Brown (a) leave (b) is leaving (d) was using in the river, but I dived in and saved him. (c) were falling (d) fell a shower. (c) was taking the office only a minute ago. (c) was leaving 8. During the last earthquake books (a) fall it. She generally (b) are falling (c) had been falling (d) taking (d) left from the shelf. (d) fell Unit 4 Exercise 6: Fill in the blanks in the passage below with the correct form of the verb in parentheses. The first one is done for you. Mark (live) lives in Japan. His family (come) five years ago, when his father (start) Osaka. At that time Mark was still only 10 years old, and he (do) not want to leave America. But now, he (have) Osaka, and he likes living there. During the last summer vacation, Mark (go) United States with his parents. They (visit) Washington D.C., and Boston, and (enjoy) They also (go) Mark's grandparents. His grandparents (be) see Mark. One evening, as they (eat) the telephone (ring) Mark and his parents (talk) over one hour. Now Mark is back in Osaka. He (want) his grandparents again. He is (plan). America by himself next time. to Japan his own business in many friends in back to the New York, seeing the sights. to a small town in Connecticut to (see) very happy to a big chocolate cake, It was Mark's aunt in California. with her one after another for to (visit) to go to

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