数Ⅱの三角関数の問題です。 動径OP‘とx軸の正の向きとのなす角をαとしているのに、なぜx’=r cos(α + π/3)やy‘=r sin(α + π/3)とおけるのかがわかりません。 α+π/3にすると、角Q’OP‘の中で被ってしまう部分が出てくるのではないでしょうか？... 続きを読む

246 D/D 基本 例題 153 点の回転 0000 点 P(3,1) を,点A(1,4)を中心としてだけ回転させた点を Q とする。 (1)点Aが原点Oに移るような平行移動により,点Pが点P' に移るとする。 点P'を原点O を中心としてだけ回転させた点 Q'の座標を求めよ。 (2)点Q の座標を求めよ。 /p.241 基本事項 1 指針点P (x0,y) を,原点Oを中心として0だけ回転させた点を Q(x, y) とする。 YA Q(rcos(a+θ), OP=rとし,動径 OP と x 軸の正の向きとのなす角をαと x=rcosa, y=rsina すると OQ= で,動径OQとx軸の正の向きとのなす角を考える と、加法定理により x=rcos(a+b)=rcosacoso-rsinasino =xocoso-yosin O y=rsin(α+0)=rsinacos0+rcosasino =yocos0+x sin O r a 0 rsin (α+0)) P (rcosa, rsina) x この問題では,回転の中心が原点ではないから,上のことを直接使うわけにはいかな い。 3 点 P, A, Qを,回転の中心である点が原点に移るように平行移動して考える。 (1)点A が原点 0 に移るような平行移動により,点Pは点 解答 P'(2, -3) に移る。 次に, 点 Q' の座標を (x', y'′) とする。 また, OP'=rとし, 動径OP' とx軸の正の向きとのなす 角を α とすると 2=rcosa, −3=rsinα 2^{2}+\~ よってx=rcos(a+/)=rcosacos/ x軸方向に -1, y軸 方向に-4だけ平行移 動する。 π =rcosacos-rsinasin rを計算する必要はな い。 練習 ③ 153 2 2+3√3 =2.-(-3). 2. 1/2(-2) 122+3/ 2 y=rsin(u+/7/3)=rsinacos 1/35 π π YA +rcos asin- A 3 4 =-3. — +2.√3 √3_2√3-3 =-3• = 3 2 したがって,点 Q'′の座標は (2+3/3 2√3-3) 2 2 (2)点 Q'は,原点が点Aに移るような平行移動によって, 点Qに移るから,点Qの座標は (2+33 +1, 2/3-3+4)から(4+3/3 2,8+5) 5 1- 012/3 π 73 P P x (1)点P(-2,3)を,原点を中心として -πだけ回転させた点 Qの座標を求めよ。

mathematics：関数の利用問題 【台形ABCDで重なる部分と重ならない部分の面積が等しくなるのは点Cを何cm移動させた時ですか】 答えは 5/2 になります 解説お願いします

問題 図1のように、直線ℓ 上に台形ABCDと長方形EFGHがあります。 図1 A.2cm.D E H 図2 A DE H ycm² 2cm 12cm lB...4cm .4cm lB FC G (F) rcm 22042 長方形 EFGHを固定し、 台形ABCDをℓにそって点Cが点Gに重なるまで、 移動させます。 図2は、 その途中を示したものです。 める =-94 FCの長さをx cm、 2つの図形が重なる部分の面積をy cm²として、次の問に答えなさい。

四角IIの⑶なんでpressingなんですか 過去にしたことじゃなくないですか

EXERCISES UNIT7のまとめ いけないの。 (答 First Stage Second Stage Step 1 基本問題 別冊 p.28) Step 1 各文の( )内から最も適切なものを選びなさい。 1) I tried (to move, moving, move) that table, but it wouldn't 2) It's three o'clock now. What do you say (to take, to taken) a coffee break? 3) Please forgive me THOST First Sta move. taking, to be (not for attending, not to attend, for not attending) your lecture tomorrow. 2)に入る動詞を下の[]内から選び、適切な形にして入れなさい。 1) A: I'm really looking forward to ( B: Me, too. I can't wait. A: You should avoid )part in the race. )up late before an exam. B: I know. I'll go to bed early tonight. 3) A: This machine doesn't work. B: Try ( achine doesn the red button. 4) A: I must get up at six tomorrow morning. B: Remember ( ) the alarm clock before going to bed. [press/take/set/stay] JOJIW 3 日本文の意味に合うように,( )内に適語を入れなさい。 1)君のユニフォームはとても汚れているね。 洗濯が必要だ。 Your uniform is very dirty. It ( ) ( ) 2)昨日は折り返し電話できなくてごめんなさい。 O First Sta First Stage Second Stag I'm sorry for( ) ( ) ( ) you back yesterday. 3)妹は夜怖くて,一人でトイレに行けません。 My sister is afraid () ( ) to the bathroom alone at night. 日本文の意味に合うように,( の動詞は適切な形にすること。 )内の語句を並べかえなさい。 ただし、下線部 1)その映画はすばらしかった。 二度見る価値があるよ。 That movie was fantastic, It (twice, is, watch, worth). 2) 私たちはジュディが時間通りに来ないことに怒っていた。 We were angry at Judy (not, for, come) on time. 3)私は次に何をするべきかを言われるのは好きではない。 I don't (to, tell, do, what, like) next. First Stage AQUARIUM×ART atoa Let's write abou 230

英語の不定詞の問題について解いてみました！ 間違っていたら教えて欲しいです、！ 苦手なところなのでよろしくお願いします💧‬！

3.[]内から適切な語句を選び, 対話文を完成させなさい。には重すぎ×5=10点) (1) A: It's too cold to walk B: How about doing some exercise indoors? a walk this morning. (2) A: There seems 10 take something wrong with my smartphone. B: Maybe it needs to be charged. (3) A: My smartphone is easy to use B: I think I'll buy the same one. (4) A: That basketball player is good enough to be pro. B: I agree. She is very talented. (5) A: This area is dangerous to turn in. There might be snakes. B: Oh, I didn't know that. Thanks for the advice. [to turn / to take / to use / to be / to walk ]

並べ替え問題 並び順を教えていただきたいです

Is there anything that contains hydrogen that is not a fuel? Yes, there is water, the weight of which is one-eighth hydrogen. (1) that (2) out of water 10 (3) energy (4) takes (5) is (6) the only trouble (7) ripping the hydrogen. Plants do it by means of photosynthesis, which makes use of sunlight as a source of energy. Scientists are searching avidly for some way of

（2）の答え教えてください🙏🏻

216 欠けている要素に注目しよう This is the church ( 2 ) I will visit next week. ①where 2 which ③ at which to which TRY (1) 京都は多くの人々が愛している古い都市だ。 the church will visit の関係は? vil ( ) &&&Kyoto is an old city (which) many people (ove ). yod T wn which I ③ (2) I will show you around the town ② born. Boy blot I modw blati adwaeda

段落ごとにどんな内容が書かれているかA〜Eから選ぶ問題です！合ってるか見て欲しいです🙏 中３英語です

コイズ 橋 香同 ik] くの ke 震災 [人名] ge 1 About 20,000 people lost their lives in the Great East Japan Earthquake on March 11, 2011. Several foreigners were also killed in the disaster. There. is a movie called Live Your Dream: The Taylor Anderson Story. The woman smiling in a kimono di dolewow 'nob ydW in the picture is Taylor. 2 Taylor started to learn Japanese as a small girl in America and became attracted to Japan. She wanted to become a bridge between Japan and America. In 2008, she came to Ishinomaki to work as an ALT. She was an energetic and kind teacher and encouraged her students all the time. Many students became interested in English and foreign cultures thanks to her bright personality. Taylor loved her students and all her new experiences in Japan. Taylor was at 10 4 After apartmen way. She family wa Shor and their Reading started because and to bring p kept o English today, many 15 6 E in Jap prepa neces ordine 3 Then, the earthquake hit. school with her students. Taylor comforted the " students and took them to a nearby safe place.

① 「force O to do」「compel O to do」「oblige O to do」 =｢Oに〜することを強いる｣ ② 「allow O to do」「permit O to do」 =｢Oが〜することを許す/可能にする｣ これらの表現の意味を高校英語(大学... 続きを読む

1番下の文のif not undertakenは 文法的にはどうなってるんですか？

Perhaps the strongest reason to think the planet could be home to Something is that over the past 20 years, we've learned that many inhabitants of Earth live in environments as peculiar as those on Mars. Here, some organisms exist inside rocks in the chilly wastes of Antarctica, or a mile deep in the ground. Others live in ice sheets, or breed in the strongest acids. If it can happen here, it could possibly happen on Mars, too. Finding life on Mars obviously would be thrilling. It would, in a small way, ease our (@). In addition, it might illuminate that great mystery, the origin of life on Earth. But the possibility of life on Mars also suggests that we should approach the place with caution. If something is living there, then bringing Martian rocks back to Earth could be a mistake if not undertaken very carefully.

この長文問題の答えと解説をお願いします。

15 語数: 398 語 出題校 法政大 5 We are already aware that our every move online is tracked and analyzed. But you 2-53 couldn't have known how much Facebook can learn about you from the smallest of social interactions - a 'like'*. (1) Researchers from the University of Cambridge designed (2) a simple machine-learning 2-54 system to predict Facebook users' personal information based solely on which pages they had liked. E "We were completely surprised by the accuracy of the predictions," says Michael 2-55 Kosinski, lead researcher of the project. Kosinski and colleagues built the system by scanning likes for a sample of 58,000 volunteers, and matching them up with other 10 profile details such as age, gender, and relationship status. They also matched up those likes with the results of personality and intelligence tests the volunteers had taken. The team then used their model to make predictions about other volunteers, based solely on their likes. The system can distinguish between the profiles of black and white Facebook users, 15 getting it right 95 percent of the time. It was also 90 percent accurate in separating males and females, Democrats and Republicans. Personality traits like openness and intelligence were also estimated based on likes, and were as accurate in some areas as a standard personality test designed for the task. Mixing what a user likes with many kinds of other data from their real-life activities could improve these predictions even more. 20 Voting records, utility bills and marriage records are already being added to Facebook's database, where they are easier to analyze. Facebook recently partnered with offline data companies, which all collect this kind of information. This move will allow even deeper insights into the behavior of the web users. 25 30 (3) - Sarah Downey, a lawyer and analyst with a privacy technology company, foresees insurers using the information gained by Facebook to help them identify risky customers, and perhaps charge them with higher fees. But there are potential benefits for users, too. Kosinski suggests that Facebook could end up as an online locker for your personal information, releasing your profiles at your command to help you with career planning. Downey says the research is the first solid example of the kinds of insights that can be made through Facebook. "This study is a great example of how the little things you do online show so much about you,” she says. "You might not remember liking things, " but Facebook remembers and (4) it all adds up.", * a 'like': フェイスブック上で個人の好みを表示する機能。 日本語版のフェイスブックでは「いいね!」 と表記される。 2-56 2-57 2-58 36