マークしてある箇所でどうしてここからこうなるのかが分かりません💦詳しく解説お願いします🙇‍♀️

第1部 マスター編 54 右の円のx≧0、y≧0の部分を点A(x,y) が動くとき 2x2 +3xy-y2 の最大値と最小値を求めよ。

（3）について詳しく教えてください。お願いします。

(注) この科目には、 選択問題があります。 第1問 (必答問題) (配点30) [1] 関数 について考える。 (1) (4) f(x)=2sin 2x-√2 cos(x+4) TU 2-52.0 ア である。 である。 (2) 0≦xの範囲におけるf(x) の最大値を求めよう。 加法定理と2倍角の公式より cos(x+4)= di cas スン イ ウィ R ① sin2x= I2 sinx cos x 2.zaina cosa -√2. = (5x –je). である。よって, t = cosx-sinx とおくと、f(x)は4qincoil -ラージウス) f(x)=オカt-t+キ -55x+cosic √ris (1732) 元 7-91326. 504 4. cos —(cosx−sinx) となる。ここで,0≦x≦πであるから,①よりのとり得る値の範囲は 4 ク ケンsts ~21²²-² +2 レオ 2 である。したがって, 0≦x≦xの範囲におけるf(x) の最大値は サシ 2 (1^²) * オ -21²-11² (4-1) * ²-1-29141²5 +²= 1 = -25₁11054 (数学ⅡⅠ・数学B 第1問は次ページに続く。) (3)の範囲において, f(x)=1を満たすxの値は π t である。 ただし,αは 0<a< を満たす角である。 O α, N ⑩ の解答群 -4 -1-√7 4 π セ π かつ sina= 0-1/32 ② 42-47.. 1²-24² - 4+2 = 1 Gislut & x) = | 1 + ) {3^+^)~* 1=-1₁ 2054-931 (=-1₁& -1+√7 4 オンブル 21 -√2 R {[(x + 7 + 1 = みに ZnG erfarin. mze-ze, ze 1 ソ 1 6 4 1-√7 (3 第1回 1 3 1+√7 4 (数学ⅡI・数学B 第1問は次ページに続く。)

この(2)の解説のBD:DCの比を求めるところまで分かったのですが、そのあとにまたBDを求めているのがよく分かりません！

本 54 三角形の内心と角の大きさ、線分の比 550 右の図で,点Iは△ABCの内心 (1) A△②2) である。 次のものを求めよ。 (1) a (2) AI: ID CHART & GUIDE △ABCにおいて 内心は内接円の中心である。 (②) ADは∠Aの二等分線であるから、内角の二等分線の定理を利用する。 解答 (1) BI, CI はそれぞれ∠B,Cの二等分線であるから A ∠B=2∠IBC, ∠C= 2∠ICB 70°+ B + ∠C=180° すなわち 70°+2∠IBC + 2∠ICB=180° ゆえに よって 2 ( ∠IBC + ∠ ICB)=110° ∠IBC + ∠ ICB=55° ∠CIB=180° ( ∠IBC+ ∠ICB) であるから α=180°−55°=125° (2) AD は ∠Aの二等分線であるか ら、△ABCにおいて よって BD: DC=AB:AC=6:43:2 三角形の内心 角の二等分線に注目 BD= -BC 3 3+2 B = 21 5 70° =6:- =10:7 a B B 70° POSI (38 a -3³-×7=2²/10 5 5 また, BIはBの二等分線であるから, △BDAにおいて AI: ID=BA : BD B' 2 6- 2081 por+88 D 注意点Ⅰは外接円の中心 ではないから,α=70°×2 としてはいけない!! 三角形の内角の和 A+ ∠B+ ∠C=180° 題52 CAN BOBAA (S) 81=2A84A 内角の二等分線の定理 6: C&&&00-80 X 081-51-95 51* 2/15 ) ×5 ÷3 =30:21 =10:7

mol計算です

CO x3 molc 7) A 187.4 g sample of C3H5(NO3)3 decomposes according to the process below.malsbaz do + 12.01 3,8 4 C3H5(NO3)3 → 12 CO₂ + 10 H₂O + O₂ + 6 N₂ a. How many grams of carbon dioxide are produced? b. How many grams of water are produced? c. How many grams of oxygen gas are produced? d. How many grams of nitrogen gas are produced? e. The law of conservation of mass states that mass is neither created nor destroyed in a chemical reaction. Verify the law of conservation of mass for the decomposition of 187.4 g C3H5(NO3)3.

コミニケーション英語２ Lesson７　Section１ 下のQuestion　Anser　Practiceの解説が知りたいです！

Communication English II Lesson 7 Encouraging Song Section 1&2 Reading Passage Section 1 There are many songs that help people overcome sadness or troubles. Makenaide may be one of them. This song has been encouraging many people for a long time. The lyrics of Makenaide were written by Sakai Izumi, the vocalist of ZARD. It became a hit in 1993. The following year, it was adopted as the theme song for the National High School Baseball Invitational Tournament. Some schools have also been using this song for graduation ceremonies. When the Great Hanshin-Awaji Earthquake occurred in 1995, this song was often aired. Many people were able to recover their spirits by listening to it. The song also cheered people up after the Great East Japan Earthquake in 2011. Unfortunately, Sakai passed away in 2007. However, this song is still popular today. Section 2 What makes this song so attractive? The answer may be in its lyrics. The song has a message of hope for everyone. Let's take a look at the first refrain. Sakai left a piece of paper on which she wrote the lyrics. It shows that she changed a part of them. She replaced the words "Don't stop until the end" with "Keep on running until the end". She may have thought that this sounded more positive. Handout Reading No.15 Text p.94-97 She changed this part while she was actually recording the song. "Which words communicate better?" was the question she always had in her mind. She always searched for words that would encourage people. Don't give up! Just a little farther 負けないで もうすこし Keep on running until the end 最後まで走りぬけて Even though we may be apart どんなに離れてても I'll stand by you with all my heart 心はそばにいるわ Follow the dream you'll catch in the end 追いかけてはるかな夢を 1. Question-Answering Practice Section 1 1. Who wrote the lyrics of Makenaide? The lyrics of Makeneide were written 2. What have some schools been using Makenaide for Sakai Izumi 3. Is Makenaide still popular today? song is still popular today. Section 2 1. What did Sakai leave? 2. Which words did she choose, "Don't stop" or "Keep on running"? She 3. What question did she always have in her mind?

この問題について一から教えて頂きたいです。 すみません。、 よろしくお願いします。 後、なぜ、4分の1波長をとるのかと4分の1波長の書き方を教えて頂きたいです。

隣りあう節と節(または腹と腹)の間の距離は、進行波の波長の半分 (1/2) である。 問 11 図は、同じ速さで逆向きに進む波の, ある 時刻における波形である。 この2つの波からでき る定常波の腹と節はどこか。 0, A~Dの記号で 答えよ。 y=yaty 七で入進む源原A ↑長 B C D 157

三角比の問題が苦手で、どの問題にどの公式を使って解けばいいのかが解答を見ても分かりません😢 分かりやすく教えて欲しいです。

200 AS ANOS EN p. 67 POINTS ●次の式の値を求めよ。 (1) cos ²40° + cos²130° (3) sin 10°+sin 80°+cos 100° +cos 170° (4) tan 37°tan 53°-4 tan 11°tan 79° (5) *(2) sin 70°cos 160°-cos 70°sin 160° rià (1) tan ²50° 1 cos ²140° ass

この問題でなぜ、こうなるのかを 1から教えて頂きたいです。 よろしくお願いします。

性といつ 要な性質である。 10 右図のような2つの波A,Bが,互 いに逆向きに速さ 1m/sで進む。 図の時刻 から1秒後の波形を作図せよ。 1/8 時刻 t FA HO y [m]↑ 右に進む波 pendency of waves ない波に特有の重 A 3 B4 x (m)

回答を解説含め教えて頂きたいです🙇‍♀️🙏

問題8【思考・判断・表現】 (2X4=8) 次の(ア) (エ)の各対話文の 3x0 選び、 番号を答えなさい。 HORS (7) Yuichi: Today is my grandmother's birthday. Mary: Yuichi: She's seventy. 1~4の中から一つずつ AXUCE OST) -NEER ŠPEJAT JSY uoy list of onion m'I wold ob alqosq ynom nint I Calplopori si bo od movs olish 1 Where does she live? 2 How old is she? 3 Who gave her a present? 4 ynoteid eti tuodo (S) What's her name? Why is chocolate mort trasllib ti stoloporls silm of oppo* sau ot batante osixeM (1) Satomi: Oh, you are carrying a big box. Are you all right? b slqos David: No. This is a little difficult. Satomi: Sure. EATONKON the first Japanese persoly siano ni siqos yobot stplooards saviensis isy DD snipibsm to brix o zow sqomus montslqosa boinsg ob3 silt erinud Snoqot of smoo tarit stolosorts bib woll 1 Will you help me? May I help you? 2 emixom 3 You won't help me. moz, bainqilis4 Do you want me to help you? sorls triguend tu8 bluos varit vllonit bad bror vsv bsint yanT noqot ni ti slom ot batnow bad stolosoris colate aviensqxs llite 20w ti pooltootroo* 9/02 1 Why do you want to go to the park? qua 2 3. How is the weather next Sunday? 4 () Steve: What are you going to do next Sunday, Hitoshi? Hitoshi: I'm going to play baseball with my friends in the park. Steve: I see. yab Hitoshi: Well, I'll do my homework at home. we amosad stolo Mr. Smith: Tomoko: Tomoko: Yes, Mr. Smith. We are going to ** in China. insianD (1) Mr. Smith: Tomoko, I hear you are going to visit China with your friends this summer. a junior high school ing to visit blow 9††A lay baseball? Loy When will you play What will you do if it rains? inain W 1 2 How many students are there in the school? Is it easy for your friends to speak Chinese? How will you go there? 3 4 Have you ever been there? It is my second time to visit the school, but it is the first time for my friends. I made a lot of Chinese friends last year. So I'm looking forward to seeing them again.

回答を解説含め教えて頂きたいです🙇‍♀️🙏

問題6 【知識・技能】 (2x5=10) (S) 次の(ア)~ (オ)の対話が完成するように、( 選んで正しい順番に並べた時、その ( )内で3番目と5番目にくる語の番号をそ れぞれ答えなさい。(それぞれ一つずつ不要な語があるので、その語は使用しないこと。) (7) A: What (1 is 2 she 3 will 4 be 5 time 6 back )? STAAT DIH B: Sorry, I don't know. bluorie bril risidW ymsla 2101 4 5 2ot at sae of fnow I 3 spote* srit of ges13 srit sup() :osbil ・・・東京 内の6つの語の中から5つを lot onom rigongavor thob aw nint I etnsbute not atsait loibaqa she SISHT (1) A: Oh, I forgot to bring my smart phone and a map. Will you ( 1 to 2 where 3 get 4 how 5 me B: Ok. But he (1 me tesqosilo srit non't spote Sunday? (1) A: You are a good piano player, right? B: Thank you. mont SW 3 2 415 m aw dnight I Cont vud of may 000, etsxoit owt szo baan sW osbiH (¹) A: I can see two students. I think he is John and ... who is she?t tap 213] miT B: The girl ( 1 sitting 2 to 3 is 4 on 5 John 6 next) Miku. spota = 270130* orla atsinsT XO obit 6 tell ) there? nint (*) A: I heard you couldn't meet your friend. 2 wait B: No. I ( 1 asked But she forgot where to see. 64 21h52 5ill you What will you atos) (1) 2 better 3 can 4 than 5 play the piano 6 well ). 35421 may 000,8 may 000. may 000, may 000,5 may 000,2 600,T Lay 000,5 20 (T) E hoë H tes20 3 friend 4 to 5 what 6 my ) here. 14635