なぜ（2）の一番最後に書いてある（したがって〜）ことが成り立つのかが分かりません。

基本例題 34 内積と直線のベクトル方程式, 2直線のなす角 (1) 線gの方程式を求めよ。する する (2) 2直線2x+y-6=0,x+3y-5=0 のなす鋭角を求めよ。 基本事項(1) p.432 KAO 指針 直線において, n = (a,b) はその法線ベクトル (直線に垂直なベク 2x-3y+6=0 に平行な直線をgとする。直 (3,4)を通り,直線ℓ: トル)である。・・・・・・・・・ (1) lの法線ベクトルはすぐにわかるから,これを利用すると lin, lng gi すなわち, nは直線gの法線ベクトルでもある。 (2) 2直線のなす鋭角→2直線の法線ベクトルのなす角を考える。 直線 2x+y-6=0 の法線ベクトル 直線x+3y-5=0の法線ベクトル HAND を利用して, n, m のなす角0 (0°≧0≦180°) を考える。 よって,直線g上の点を P(x,y) とすると An·AP=0 (1) 直線l:2x-3y+6=0 の法線ベクトルであるn=(2,-3) (1) yA は、直線gの法線ベクトルでもある。 AP=(x-3, y+4) であるから すなわち 2x-3y-18=0 (2) 2直線2x+y-6=0, x+3y-5=0 の法線ベクトルは,それぞれ =(2,1), m=(1,3) とおける。 TAP とのなす角を0 28 ||=√/12+32=√/10, n・m=2×1+1×3=5 ゆえに cosp=on.m 2(x-3)-3(y+4)=0 53 5 nm √5√10 よって ゆえに 0=45° したがって, 2直線のなす鋭角も 45° 0 (0°≧0≦180°) とすると調 0 \n\= √2²+1²= √5 (33)=3-(2,1)³ = (1) =(2,1SD =(1,3) 1 √2 HA00 XA03 m=(1,3) (数)と 0 A-HA Jet x Jet O 12 -30 31 -=|HA|-HA||| ‹‹ ãÊDA (S) n A ATSO HAS |HA|||± HAR HAN HA-HA- P JONAJ 直線の方程式における x, yの係数に注目。 L 5 cos = 5:$, () ve Ta|16|- 435 検討 red + 法線ベクトルのなす角が 鈍角のときは,2直線のなす 鋭角は180°-0となる。 1章 5 ベクトル方程式

分かるところだけでも大丈夫なので教えてください🙏

htu たんです 0 いてはど 2 # 2 P 49 ()内に入る適切な語を書きましょう。 1"( ) you ( 2 "What do you want to do today? Play a game?" “I ( movie ( ) play a game." P 57 ( )内の語句を並べ替えて、会話を完成させましょう。 1 "Where (held / the rock concert / was )?" "It was held in the concert hall." ) a cup of coffee?" "Yes, please." 2 "My house (being / painted / is) now." "When will it be finished?” )( 3 "Excuse me, cell phones (here/ used / be / cannot)." "I'm sorry." #P 6 7 4 "Her second novel (published / be /is/ to / going) soon." "I can't wait to read it." 5 "This song (played / been / at / has ) lots of weddings." "It is so romantic." 2 ( )内の語句を並べ替えて、 英文を完成させましょう。 1 It is (for us / important / study / to) history. With this knowledge, we can understand world news more deeply. 2 Kate got up at three (on TV / the soccer game / to / watch ). I missed the 4 Are you ) watch a 3 My parents (go / let / me / won't ) abroad. I want to be independent of them. serious? (allow / can't/I/ to /you) do such a terrible thing. 5 You have a toothache. You should (a dentist / check/have/ your teeth). game. 6 We are so grateful for all your help. We would (accept / like / this gift / to /you). 7 It was nice (of / say / "Thank you" / to /you) to your mother. I guess she's happy.

前置詞の問題についてです。この回答が合っているか、教えて欲しいです。

1.( ) my surprise, Tom failed the exam. 驚いたことには、 トムは試験に落ちた。 ○ Too For O With On 2. Look ( ) the meaning of this word in your dictionary. 辞書でこの単語の意味を調べなさい。 O up down in ○ on 3. Write it down ( ) you forget. 忘れる前にそれを書きとめておけ。 ○after since before ago 4. She put the ring ( ) her finger. 彼女は指輪を指にはめた。 O in with O on ○ to 5. The moon goes ( ) the earth. . 月は地球の周りを回る。 ○ above around for on 6. The store is just ( ) my house. . その店は私の家の丁度反対側にある。

will you hand this message to her when she will come home. この文の間違っている部分を直すという問題です。 この文は時の副詞節なので答えはwill comesをcomesに直すみたいなのですが、なぜwhen節は副詞... Read More

英語の問題教えてください。 「英文法から学ぶ英作と読解」というテキストからです。 写真の問題を教えて頂きたいです。 解説や覚えておいた方がいい所などありました、そちらもよろしくお願いします。 写真と問題を書いておきます。 問題文を書いておきます。 1 次の質問に英語... Read More

.... Reading Comprehension II 次の文章を読み、 後の問いに答えなさい。 Rakugo is a form of traditional Japanese spoken entertainment. It first became popular among people of the merchant class "chonin," and also spread to the lower classes during the Edo period. 16 A single rakugo performer appears on stage and kneels on a cushion. The performer wears a traditional Japanese kimono and usually has nothing except two stage properties: a paper fan and a hand towel. The fan can be used to represent a variety of things, such as a pipe, chopsticks, a pen, a fishing pole or a cup. Sometimes it creates sound effects. The hand towel can be used for things like a letter, a book or an actual towel. The comic story, which the performer narrates, is usually in the form of a conversation between two or more characters. The storyteller plays the two or three roles fluently and switches from one character to another by changing his voice, accent, or expression and turning his head, so the audience can imagine the scene. In the Meiji period, a British rakugo performer brought a lot of excitement to the audience. He was the first foreign-born rakugo perfomer, named Henry James Black, who adopted the stage name "Kairakutei Black." Everyone had a good laugh at hearing his comic tales and his fluent Edo dialect. 注 kneel on a cushion 座布団に座る sound effects have a good laugh at 〜 〜 に大笑いする

英検対策の問題です。 中１なのですか分からないとこばっかりで…。 解説も出来れば、出来ればでいいので お願いします🙇‍♀️⤵️

13 (1) から (15) まで ( 1つ選び、その番号のマークをぬりつぶしなさい。 (2) (1) A: Mike, have you called Jill to tell her about our meeting tomorrow? B: No, not ( 1 yet ―次試験 筆記 ). I'll call her after lunch. 2 over 3 always Brian is going to visit the (> ) with his class next week. He wants to see many kinds of fish there. 1 college 4 garage 大学 EL (3) A: These are delicious tomatoes. B: Thank you. We ( 1 grew に入れるのに最も適切なものを 1,2,3,4の中から 2 aquarium 3 stadium *17 (7) A: It's so hot! 2 thought 2 special (6) Helen and Yumiko ( they're good friends. 1 put (4) Jeff went fishing on Sunday. He caught nine fish. One was very big, but the () were small. 1 another 2 ones 3 others 4 sometimes (5) A: I heard that you're going to Rome next week. B: That's not ( ). I'm going to Paris. 1 true 2 thought ) them in our garden. 3 fought 4 knew 4 all 3 met 3 common 4 main 3) in the tennis club at school. Now 4 found B: Here, use this (2). It will cool you down. 2 fan 3 hill 71% 1 line 4 head 頭 75 78 (8) People think I can speak French because my mother is from France. But (A ) fact, I can only speak English. 1 by 2 on f 3 for 4 in (9) The rock group was very popular, so the concert hall was 3) of people. ( 1 thick 2 full 3 deep 4 high (10) Lisa and her family didn't go ( planning to go on a trip this year. 1 away 2 at B: OK. 1 pass (11) A: I told my mother that I would be home by 7:00. I don't ) my promise, so I have to go now. want to ( 2 se 4 lend 2 color 3 through 4 behind (12) Jim bought a new house, so he had to move his things. All his friends were on vacation, so they couldn't give him a (/). 1 part ) last summer, so they're 3 break (13) A: Excuse me. Could you tell me ( map? 2 won't 3 front (14) A: Jack is a police officer, (3 B: No, he's a doctor. 1 isn't 2 to teach B: Sure. There's a bookstore on the fifth floor. 1 which 2 why 3 what 4) I can buy a world ) he? 4 hand 3 doesn't 3 teach 4 where 4 can't (15) I can't ride a bike, but my brother can. I asked him (3) me. 1 teaches 4 taught 19年度第1回 記

英表

I hope 2. その質問は、答えるのが簡単だった。 The question was easy (answer / answered / to answer ). 3. おしゃべりをやめて、 私の言うことを聞きなさい。 Stop ( talking / talked / to talk) and listen to me. 4.私は、沖縄で泳いだことを決して忘れないだろう。 I will never forget (swim /swimming / to swim) in Okinawa. 5. 祖母は、目を閉じて私の話を聞いた。 My grandmother listened to me with her eyes ( close / closing / close 2 The sentences a) and b) should have almost the same meaning. Fi blanks and complete the sentences. 総合 business. 1. a) It happened that my father was away b) My father ( )( )( ) ( 2. a) It seemed that Masako was b) Masako ( ) ( ) ( ) ( on ) away on business. concentrating on her studies. studies. studies. ) on her ) on her 3. a) It is said that the product was imported to Japan in the Edo per b) The product is said ( ) ( ) ( ) ( ) to Japan in the Edo 4. a) Because I practiced judo all morning, I am very tired now. b) ( ) ( ) ( ) all morning, I am very tired now. 5. a) Her hands were shaking when she was talking with the movie s b) She was talking with the movie star with ( )()(). 6. a) It appears that there is a misunderstanding between them. b) There ( )( )( ) ( ) a misunderstanding between them.

文章に対してsvocmをつけて頂けるとありがたいです。

Do you know the Japanese anime movie Kimi no Na wa, or Your Name? The hero and the heroine each wear kumihimo. This key item shows us the basic theme of the story: musubi. This Japanese word means the ties between people over time and space. Thanks to the movie, young people around the world as well as in Japan became interested in the art of kumihimo. Now some of them even make kumihimo by themselves. The handicraft of kumihimo has a long history. How did the tradition of tying develop? How did musubi begin to express the connections between people?

合同式を用いた回答の方が分からないのですが、なぜ偶数と奇数で場合分けをしているのですか？

534 ME XX 00000 重要 例題 100 等差数列と等比数列の共通項 列{an}の項でもあるものを小さい方から並べて数列{cn} を作るとき, 数列{cn 数列{an}, {bn}の一般項を an=3n-1,bn=2” とする。 数列{bn}の項のうち、数 の一般項を求めよ。 重要 93 基本 99 指針▷>2つの等差数列の共通な項の問題(例題93) と同じように,まず,a=bmとして、1mの 関係を調べるが, それだけでは {cn}の一般項を求めることができない。 そこで, 数列{an}, {bn} の項を書き出してみると,次のようになる。 (an): 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, {bn}:2,4,8,16,32, Handlin を順に調べ､規則性を Ci=b, Ca=b3, C3 = bs となっていることから,数列{bn}を基準として, 6m+1 が数列{0.² の項となるかどうか, bm+2 が数列{an} の項となるかどうか、 見つける｡ 解答 a1=2, b=2であるから C1=2 数列{an}の第1項が数列{bn}の第m項に等しいとすると 3l-1=2m U-18 ゆえに bm+1=2m+1=2m・2=(3-1)・2 = 3.21-2 よって, bm+1 は数列{an} の項ではない。 ①から bm+2=26m+1=3.4l-4 =3(4-1)-1 ゆえに, bm+2 は数列{an} の項である。 したがって {C}:b1,63,65, 数列 {cm} は公比 22 の等比数列で, C1 = 2であるから Cn=2.(22)"-1=22n-1 22n=4"=1"≡1(mod3) [2] m=2n-1(nは自然数) とすると 規測性から 答えを予想はできたこ SS 3･O-1 の形にならない。 JANE 重要 初項が 10g10 3= 141) 10 △×(2) 初 30 \-=b (s) 7V=5,2V=D 検討 合同式(チャート式基礎からの数学A 参照) を用いた解答 3n-1=-1≡2(mod3) であるから, 2" = 2 (mod3) となるmについて考える。 [1] =n(nは自然数) とすると 1970 4" cn=122 などと答えてもよ L 22n-1=22(n-1).2=4”-1.2=1"-1.2=2 (mod3) [1],[2] より,m=2n-1 (nは自然数) のとき 2” が数列{cm} の項になるからコ Cn=bzn-1=22n-1 指針> 練習 数列{an},{bn}の一般項をan=15n-2, bn=7.27-1 とする。 数列{bn}の項のう (4) 100 ち,数列{an}の項でもあるものを小さい方から並べて数列{c,}を作るとき, 数列 {cn}の一般項を求めよ。 .631 02 解答 (1) 初 103- 各 ゆ よ す n G

至急！ 本文の下にある　６　６．　７．　の答えを教えて下さい!

Q. Listen and choose the best match for the picture on the right. Part 1 56 artificial intelligence inteled(a)ms/ handle(s) hend(a)l(z) deal dil/ assistant asEstant/ reply pla possible <pQ{:}xəbə]f? huge bjuds knowledge Fadlidy appropriate (apróxprist? seem istam/ safety st Sakura reads about the spread of AI. AI, artificial intelligence, handles a great deal information. It makes decisions like humans. Al is in many systems today. Voice assistant systems are one example. When ask something, the systems give you a quick reply. is this possible? They access a huge online knowled database. From this, they choose appropriate words make answers. The answers created by Al often seem: be just for you. This is because the systems are alwa collecting data about you. AI is also used in air conditioners, robot vacuu cleaners, car safety systems, and so on. They help lives a lot. Al seems to make everything possible. 6. this は何を指しますか。 6. They は何を指しますか。 7. this は何を指しますか。 1. a great deal of 12. "and so on 6. access の品詞と意味は? 7. database dentabes! 7-9-2 11. air conditioner fear kandif(a)nar! IPI vacuum cleaner vækjuam kita