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Mathematics Senior High

87. なぜ点Bは円と円の接点の位置にあるのですか? (点Aは円Oに内接する△ABCの一点かつ△PABの外接円の接点なので2つの円と交わることがわかるが点Bはわからない。)

基本例題 接弦定理の逆の利用 円Oの外部の点Pからこの円に接線PA, PB を引く。 点Bを通り, PAと平行 CỦA T な直線が円0と再び交わる点をCとする。 (1) ∠PAB=a とするとき, ∠BAC をaを用いて表せ。 (2) 直線 AC は APAB の外接円の接線であることを証明せよ。 方べきの足場を利用し 19 JA (1) 円の外部の1点からその円に引いた2本の接線の長さは等しいことや、接弦定理, 円 平行線の同位角・錯角に注目して,∠PABに等しい角をいくつか見つける。 (2) 接線であることの証明に,次の接弦定理の逆を利用する。 HARE JAA MACEVT Da 円 0の弧AB と半直線 AT が直線AB に関して同じ側にあって ∠ACB=∠BAT ならば、 直線 AT は点Aで円 0 に接する (1) の結果を利用して,∠APB=∠BAC を示す。 解答 (1) PA=PB であるから CHART 接線であることの証明 接弦定理の逆が有効 <PAB=∠PBA=a また, PA//BCであるから ∠ABC=∠PAB=α 29-89-41 P OP-FRON 検討 接弦定理の逆の証明- CONNOR VAR p.436 基本事項 ② ∠APB=180°−2a 接弦定理から 一方,仮定により したがって 更に <ACB=<PAB=a3 B 89./ よって、△ABCにおいて よってP7-3 ∠BAC=180°−2a ∠ACB=∠BAT' ∠ACB=∠BAT <BAT'=∠BAT TTO ARRASA 20 Houttu 74110A & DATA 接線の長さの相等。 C <HOTO DE (2) AAPBにおいて 1① ② から ∠APB=∠BAC したがって, 直線 AC は △PAB の外接円の接線である。 ARの逆 THA SATIATTI Lions 平行線の錯角は等しい 接弦定理 APA-APOTHEE T1=89-A9 とすると、方へ ② APABは二等辺三角形。 THAPATHIA A SATARCINA 点Aを通る円Oの接線AT' を ∠BAT' が弧 AB を含むように引くと, ゆえに, 2直線AT, AT'は一致し, 直線ATは円 0 に接する。 6:09 09:¶ 209 A [1] 890=394 en O85/= PAS PER CONTO 8 ZAKE chumaras B T A > ) [S] B TT 'T' 439 3章 14 円と直線、2つの円の位置関係 ある ある -1 数 ある 2 たと 数に には D るを を つ。 15 Na 13 ni い

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English Senior High

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4 eehaupbsorl elstog 空欄にあてはまるものを (A)~(D) の中から選んで記号を書きましょう。 rinom soon tundA (8) 1. My first of Toronto was very positive. (A) impressed (B) impressing (C)impressive (D) impression swdua vd oo visuay 1 (5) 3. 2. The special equipment was (A) originally (B) origin (C) original (D) originality 4. The manufacturer (A) produces vaboj alriemriserter prind soinom bib vilW..t A teacher's class. Sum ob incinu vertone (A) friendship (B) friendlily (C) friendly (D) friendliness Autoledad blow approach makes new students feel comfortable in their new es new students fee (B) has produced shwob trand enirkham y 5. It is necessary that the applicant 8. Would you mind (A) open made for those who have mobility problems. mismo2( bloo out a'fariT (8) Of(0) tripim men (8) TV sets in developing countries ten years ago. (D) has been produced (C) produced (A) fill (B) filled (C) fills (D) would fill 6. Tomoko invited me to see the musical with (A) she (C) (B) heraners 10. Is there anyone (A)whom blueWF Tesy jasi cio 7. The CEO by the charity foundation to speak at their annual conference, but he had to decline the request because of a scheduling conflict. (A) asked (D) had been asking (B) was asked (C) has asked 9. The meeting will be held (A) in dar out the form before the job interview. toy bollit need cen (A) admun orong olidam ym e'evgH (8) Jeneves need even ment (2) eldabil opening prupiolansi (B) whose blow reiwi at sol no (D) herself them. the window for me? vietne.m (C) to open (D) to be opening Houp (0) (B) on (C) for (D) at nismen (0) Meason (2) gribnstalue (8) 10:30 in the conference room. is against this alternative proposal? (D) which m) boysin .GP .er Deda briced OS eldialval (A) 11. Tim is as as Linda. (A) more intelligent (B) intelligent (C) less intelligent (D) better intelligent for storage. (A) designated (B) detained (C) reciprocated (D) signified 12. According to the proposal, a large block of rooms in the east wing of the new building will be

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English Senior High

こちらのプリントの回答教えてください。 よろしくお願いします。

4 eehaupbsorl elstog 空欄にあてはまるものを (A)~(D) の中から選んで記号を書きましょう。 rinom soon tundA (8) 1. My first of Toronto was very positive. (A) impressed (B) impressing (C)impressive (D) impression swdua vd oo visuay 1 (5) 3. 2. The special equipment was (A) originally (B) origin (C) original (D) originality 4. The manufacturer (A) produces vaboj alriemriserter prind soinom bib vilW..t A teacher's class. Sum ob incinu vertone (A) friendship (B) friendlily (C) friendly (D) friendliness Autoledad blow approach makes new students feel comfortable in their new es new students fee (B) has produced shwob trand enirkham y 5. It is necessary that the applicant 8. Would you mind (A) open made for those who have mobility problems. mismo2( bloo out a'fariT (8) Of(0) tripim men (8) TV sets in developing countries ten years ago. (D) has been produced (C) produced (A) fill (B) filled (C) fills (D) would fill 6. Tomoko invited me to see the musical with (A) she (C) (B) heraners 10. Is there anyone (A)whom blueWF Tesy jasi cio 7. The CEO by the charity foundation to speak at their annual conference, but he had to decline the request because of a scheduling conflict. (A) asked (D) had been asking (B) was asked (C) has asked 9. The meeting will be held (A) in dar out the form before the job interview. toy bollit need cen (A) admun orong olidam ym e'evgH (8) Jeneves need even ment (2) eldabil opening prupiolansi (B) whose blow reiwi at sol no (D) herself them. the window for me? vietne.m (C) to open (D) to be opening Houp (0) (B) on (C) for (D) at nismen (0) Meason (2) gribnstalue (8) 10:30 in the conference room. is against this alternative proposal? (D) which m) boysin .GP .er Deda briced OS eldialval (A) 11. Tim is as as Linda. (A) more intelligent (B) intelligent (C) less intelligent (D) better intelligent for storage. (A) designated (B) detained (C) reciprocated (D) signified 12. According to the proposal, a large block of rooms in the east wing of the new building will be

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English Senior High

合っているか確認して頂きたいです。🙇‍♀️‪‪💦

) に入る最も適当な語句をa~dから選びなさい. ) to men, women seem to enjoy wearing kimonos more. a. Compare 【武庫川女子大】 1 ( (1)( b. Compared c. To compare d. To have compared (2) Michiko got engaged to Akira. She is now busy( the wedding. a. prepare (b) preparing (3) I want to go to China, but I cannot ( a. make understand myself c. understand myself c.prepared gohe the last train ) for 【東京電機大】 d. to prepare ) in Chinese. 【同志社女子大】 b. understood myself d) make myself understood 2 日本文の意味に合うように [ ]内の語を並べかえなさい. (1) 人々は美しい絵画をくい入るように見つめて立っていた. 【広島文教女子大】 The people [at, beautiful, gazing, picture, stood, the ]. The people stood gazing at the beautiful picture. (2) 最終電車が行ってしまったので、駅のベンチの上で寝なければならなかった. [the, gone, having, train, last ], I had to sleep on the bench at the station. 拓殖大 】 Having I had to sleep on the bench at the station. (3) 私は土曜日の午後はたいてい読書して過ごします。 I usually[afternoon, spend, books, reading, Saturday ] . I usually spend Saturday afternoon reading books 3 各文の下線部の誤りを1か所選び, 正しい形に直しなさい. (1) As his car had broken down, he wanted to have it repair in the garage near the station. 【*東京薬科大】 [d] → ( repaired 4 日本文を英文に直しなさい. (1) 空模様から判断すると、雨はもうすぐやむでしょう。 Judging from the sky, the rain will stop 3 ) (2) Tomomi was avery exciting at the farrival of the famous rock group at Narita International Airport. 【神奈川大】 [a] → ( very excited ) 【 * 神奈川工科大 】 (2) 彼が居間でギターを弾いているのが聞こえました. I heard him playing the quitar in the living room soon.

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English Senior High

オレンジの線引いたto不定詞、何的用法か教えてください。

23:25 9月18日 (月) + Unit 5② FACTBOOK GRAMMAR ワークシート 1. [them/send/ saw / I food ] to the food bank. 私は彼らがフードバンクに食品を送るのを見ました。 I saw them send food Drills | Put the words in the correct order to complete the sentences. 2. I take/you/to/X/ wańt ] some ingredients home. あなたにいくつか材料を家に持って帰ってほしい。 I want take you you to あ 4. [ which / mê/ know / foçd/lef ] can be sent. どの食品を送ることができるか知らせてください。 Let me know which food 3. I'll [ nýy / caryý / hate / ay/ brothér] the vegetables. 兄にすべての野菜を運んでもらいます。 I'll have my brother carry all Ĵ 6 Fill in the blanks and complete the sentences. ) ( the vegetables. some ingredients home. 1. I was ( too ) ( tired 疲れすぎていて夕食を作れなかった。 2. They ( seem ) ( )( to 彼らは多くの食料を必要としているようです。 3. Could you tell me (where ) ( to 余った食料をどこに送ればよいか私に教えてくれませんか。 4. You should take the meat home in ( order )( can be sent. to need 。 Class Name to the food bank. ) a lot of food. food. 食べ物をむだにしないために, その肉を家に持って帰るべきです。 )( Cook ) dinner. )( sead not Number Fact D Fact E ) ( ) surplus food? to Fact F ) waste 96% ...

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English Senior High

全ての問題、合ってるか教えてください。 間違ってた場合、正しい答えを教えて下さると助かります。

22:17 9月18日 (月) + |Grammar in Context 7 Complete the conversation about Miki's dream. Miki: Hi, Mr. Lance. Guess what! My parents あ this winter. [私が今年の冬に留学するのを許してくれた] Mr. Lance: I'm happy to hear that! That's been your dream, right? Miki: Yes. I kept asking them and they finally agreed to . [私をカナダに行かせてくれることに同意した] 8 Complete the sentences based on the Japanese ones. 3 I will go to an English language school in Vancouver for two weeks. Mr. Lance: Sounds good. You will Surely [きっとすばらしい時間を過ごせる] all items are 50% off. The restaurant ① people at a time, so you @ your friend to ① allowed me to study abroad 00 mast come Dear customers We are delighted to announce that our new restaurant is opening tomorrow. On the first day is large enough to let me go to Canada have a great time. to our restaurant tomorrow. hold 60 get a table. Please tell お客様各位 私たちの新しいレストランが明日開店することを発表できてうれしく思います。 初日は全品半額です。 レスト ランは一度に60人を収容するのに十分な広さがあり, きっとお席がございます。 ぜひご友人に明日私たちの レストランに来てくれるようにお伝えください。 ② 98% ・・・

Resolved Answers: 1