中3の問題です！ (3)、(4)の解き方を教えて欲しいです お願いします

正進社版 数学圏3年 7 5問 /5 右の図のように,すべ ての辺の長さが2cmの正三 角錐OABC がある。辺BC 2 N の中点をM,点Mから辺OA Ak にひいた垂線と辺OAとの交 M 点をN, 頂点Oから線分AM にひいた垂線と線分AMとの 交点をHとする。また, 線分OHと線分MNとの交 点をLとする。次の問いに答えなさい。 (1) 線分OM, 線分MNの長さを求めなさい。 B 【徳島) 2 OM MN (2) △OAHAMAN を証明しなさい。 「ロ N

左の写真が問題で、左が解説です。 [1]の場合で、なぜ、n=2の場合のみだといけないのでしょうか。教えてください！！

250 2 は2以上の自然数とする。数学的帰納法を用いて,次のことを証明せよ。 x"+ y" はx+yと xyを用いた式で表される。

この英作文はアプリで変換したのですが間違っている文法がないか見て欲しいです。

I've been a mem ber of the tennis aulb foralmost まuはおまそ2平間〒=スをPに耐属していました。 TwO rears. I was a baseline player at first, but I れしは 和は前行でごっ T=tとり、 2年羊のときに became a netplayer when I was second grade, 後行に 1な1ました。 I thought that het player would do well but it 私は耐得行で子らとキくでき3やいもと見いいましたPい、初めは上手< did n't work at first so there were days when きな7、 合に為や口 できませんてした。 practiced hard ネれは毎しくて一生懸命 self I I could t join in the Match. I because I was very disappoin ted with my 練習をして、uはたんたりん上午くよっていいきました。 became better and better I wanted to be useful in 私はこ反の試合こそ 侵 (立なたい the next game, but I couldntt join because of と思い ました Pい、余れ2インフルエンす"にかかって参0○でできません Tn fluenza. I became a third grade and practiced ネし7 3年生 1= なって 大会に向のて練習をかにんばいり even herder for the tourhament. Everyone in the 4aaataなやい試 で ていした。 ました。 toam was confident ot winning the gae. I was コロtに 日っ自信かじありました。 sad some games were called off because COVID 中止になって 5しかったでる。 チって 合pい 11くつ か We couldnit partici pate Iinthe tourhament 44たちは大き T 目 標だった大会に参わo で きてなかったので、

[1]のa＜a^2のときa^2-a＞0の意味がわかりません a-a^2＜0ではダメなのですか？ [3]も同様です

o 153 100 文字係数の2次不等式の解 TOr 要例題 次のxについての不等式を解け。ただし,aは定数とする。 x°-(a°+a)x+α'<0 重要102 <0 のとき 基本 30,85,86 lOLUTION inf. 参照。 HART 係数に文字を含む2次不等式 場合分けに注意 左辺は,たすき掛けにより因数分解できて (x-a)(x-a")<0 α<B のとき(x-α)(x-B)<0→ehamB (*)場合 ここでは α, Bがともにaの式で表されるから, a と α" との大小関係で場合が分 かれる。…… 式の痛 >0 る。 3章 答 等式から たがって 0 a<a° のとき -a>0 から よって このとき,①の解は D 合たすき掛け x-(a°+a)x+α's0 の 11 Xa→-a 1 a? a(a-1)>0 0 a<0, 1<a aSxSa° 0 2] a=a° のとき *共通範 -a=0 から についてよって a(a-1)=0 a=0, 1 のはx<0 となり のは(x-1)°S0 となり -aの値をのに代入。 a=0 のとき 不等式 f) a=1 のとき → y=fdl, リ=g(x) の」a>a? のとき inf. x=0 (x-a)<0 を満たす解 はx=a のみ。 x=1 側にあるx a-a<0 から a(a-1)<0 0SxS0 は x=0, 1Sx<1 は x=1 を表すから,解は 0SaS1 のとき a°SxSa よって 0<a<1 このとき, O の解は a'<xSa a°<xSa 0<a<1 のとき a=0 のとき a=1 のとき a<0, 1<a のとき 以上から ーxー2x=2- x=0 a<0, 1<a のとき a<xSa x=1 ー+2x= ォー1)(x-) くょく2が 育さない。 aSxSa° と書いてもよい。 (01-)3 PRACTICE … 100° 次のxについての不等式を解け。 ただし, aは定数とする。 101

英語に自信がある人回答づくりお願いします！ ※書き込みは気にしないでください。

第2間 次の金会話文を読んで、 股設間に答えなさい。 Miranda: Are you enjoying yourself here in the States, Yuya, now that you've been here for a fow months? Yuya: Yes, I'm having a great time, Ite ( 1 ) how much of it is being in a foreiy Country and how much of it is just being in college, though, Miranda: Iguess I know ( 2 ), There's a lot more freedom iving away from home . don't have my mom and dad badgering me all the time about where P'm telling me to do my homework, either, Yuya: Exactly, olway/my/the /were / parents / same ], Miranda: I suppose that kind of thing has no borders, Do you find yourself ( 3 ).. all? Yuya: Not really, IfI were living alone, I might, But I have roommates and . been ealling or texting my parents once a week, ( 4 )I gues I don't feel tho isolated, Imiss Japanese food a bit but it'snot too bad, How about you'2 Miranda: Not one bit, I'm gl to/ to be / happy / my own/live / able ] life, Even thouoh I guess Iam still adjusting a little, It's tough having to fend for myself for fud I sometimes get so wrapped up in things that I( 5 ), and then I pay for it later Maybe I should have gotten the meal plan after all, Yuya: It's so expensive, though, And you'd still have to go to the dining hall, s01 don't ol solve / your/think/it/problem/would ], Maybe I'll just have to invite you out for lunch like this more often, Miranda: Who am I to say no to that? Yuya: OK, ola/away/ has/ that/and/ half] the best ice eream, 6 ) Do you want to get some dessert? I know a place about a block Miranda: You don't have to twist my arm, lo o A dnids nog o fal 00 fom yod ef'T IAl odhon dd o 3.

英語に自信がある人回答づくりお願いします！ ※書き込みは気にしないでください

第2間 次の金会話文を読んで、 股設間に答えなさい。 Miranda: Are you enjoying yourself here in the States, Yuya, now that you've been here for a fow months? Yuya: Yes, I'm having a great time, Ite ( 1 ) how much of it is being in a foreiy Country and how much of it is just being in college, though, Miranda: Iguess I know ( 2 ), There's a lot more freedom iving away from home . don't have my mom and dad badgering me all the time about where P'm telling me to do my homework, either, Yuya: Exactly, olway/my/the /were / parents / same ], Miranda: I suppose that kind of thing has no borders, Do you find yourself ( 3 ).. all? Yuya: Not really, IfI were living alone, I might, But I have roommates and . been ealling or texting my parents once a week, ( 4 )I gues I don't feel tho isolated, Imiss Japanese food a bit but it'snot too bad, How about you'2 Miranda: Not one bit, I'm gl to/ to be / happy / my own/live / able ] life, Even thouoh I guess Iam still adjusting a little, It's tough having to fend for myself for fud I sometimes get so wrapped up in things that I( 5 ), and then I pay for it later Maybe I should have gotten the meal plan after all, Yuya: It's so expensive, though, And you'd still have to go to the dining hall, s01 don't ol solve / your/think/it/problem/would ], Maybe I'll just have to invite you out for lunch like this more often, Miranda: Who am I to say no to that? Yuya: OK, ola/away/ has/ that/and/ half] the best ice eream, 6 ) Do you want to get some dessert? I know a place about a block Miranda: You don't have to twist my arm, lo o A dnids nog o fal 00 fom yod ef'T IAl odhon dd o 3.

英語に自信がある人回答づくりお願いします！ ※書き込みは気にしないでください。

第2間 次の金会話文を読んで、 股設間に答えなさい。 Miranda: Are you enjoying yourself here in the States, Yuya, now that you've been here for a fow months? Yuya: Yes, I'm having a great time, Ite ( 1 ) how much of it is being in a foreiy Country and how much of it is just being in college, though, Miranda: Iguess I know ( 2 ), There's a lot more freedom iving away from home . don't have my mom and dad badgering me all the time about where P'm telling me to do my homework, either, Yuya: Exactly, olway/my/the /were / parents / same ], Miranda: I suppose that kind of thing has no borders, Do you find yourself ( 3 ).. all? Yuya: Not really, IfI were living alone, I might, But I have roommates and . been ealling or texting my parents once a week, ( 4 )I gues I don't feel tho isolated, Imiss Japanese food a bit but it'snot too bad, How about you'2 Miranda: Not one bit, I'm gl to/ to be / happy / my own/live / able ] life, Even thouoh I guess Iam still adjusting a little, It's tough having to fend for myself for fud I sometimes get so wrapped up in things that I( 5 ), and then I pay for it later Maybe I should have gotten the meal plan after all, Yuya: It's so expensive, though, And you'd still have to go to the dining hall, s01 don't ol solve / your/think/it/problem/would ], Maybe I'll just have to invite you out for lunch like this more often, Miranda: Who am I to say no to that? Yuya: OK, ola/away/ has/ that/and/ half] the best ice eream, 6 ) Do you want to get some dessert? I know a place about a block Miranda: You don't have to twist my arm, lo o A dnids nog o fal 00 fom yod ef'T IAl odhon dd o 3.

合っているか確認してほしいです、お願いします！！

【1】( )に入る適切な語句を選びなさい。(1×20) find のhformation/②informations) about the event? 1. Did you any 2. (OHow much / Hoy.many ) pieces of luggage do you want to check in? 3. Did you find any (Oother(Danother) ways to relieve stress? 4. lapologize for (Dinforming not / 2nbt informing ) you about the schedule. 5. Ican't decide (Owhich to use picture //2which picture to use) for my New Year's card. 6. We tend (1Dto believe / ②believing ) that what is written is true. 7. Ineed (Ohot something/2something hot ) to warm me up. 8. We were not (Osurprising / 2surprised) at the news that the politician had resigned. 9. Is there (Dwrong anything //2ahything wrong) with your computer? 10. Each (Ostudents have //2student has) their own locker. 11. Ihad some bread for (Dthe breakfast / Da breakfast /( 3breakfast) this morning. 12. Would you care for/(Osome more cake / 2any more cake / ③any more cakes )? 13. We traveled Oby train / 2by the train / ③by a train) from London to Paris. 14. (OThis / 2That /(3t) is very stuffy in this classroom. 15. (OAII /2None / 3Both ) of these remarks are mine. They are from this book. 16. (OThis / 2That // ®t) is going to rain tomorrow. 17. Have youheard the rumor (Othat / ②which / ③what) our math teacher will get married soon? 18. Iwonder (Owhich / &if / ③what ) I have enough time to prepare for the test. 19. My brother is very busy ()writing / ②written / ③to write ) his graduation thesis. 20. Please leave those-sealed.packages (Duntouch / ②untouching/(③uptouched). 【2】日本語の意味に合うように、[] から適切な語を1回ずつ選びなさい。 (1×5) 1. 今日は大したニュースはありませんでした。 There wasn't ( 5) big news today. 2. 1日に何時間授業がありますか。 How( ) classes do you have each day? 3. 次の試合までほんのわずかの日数しかありません。 We have only (2) more days until the next game. 4. 先週は家事をすることにほとんど時間を使えませんでした。Ispent (4) time doing housework last week. 5.海岸にはほとんど人がいなかった。 There were ( people on the beach. [Omany のa few 3few @little ⑤much ]

この英文がなぜ間違えていることになっているのか分かりません💦

bntl asw m sd! 3 次の英文の誤りを正しなさい。誤りがない場合は, ○を書きなさい。 (1) Having born in the US, he can understand English well. (2) There being no vacant seat, I had to stand. (8) The girl was watching TV with eating a hamburger. TOJ00D B e19 1GL3 g (4) Emily spent half an hour te reading a magazine. tn ad Cin) Havent 1 hateva

大学1年生です。 英語の穴埋め教えてください🥺

13:53 マ ll全 a docs.google.com 52)Icannot believe that many 1ポイント students in my class ( ) by their first names. a) prefer being called b) prefer called c) rather to be calling d) rather called 53) Nancy is proud of her son ( 1ポイント ) the inter-college tennis championship last year. * a) won b) to win c) to have won d) having won 54) Have you ever considered ( 1ポイント -) in sociology at college? * a) to major b) majoring c) of majoring d) on majeing