例題の問題です 0<2ルート15<8という範囲になるのは何故ですか？？ 0じゃなくて、7とかになることはないのですか？？

112| 3章 2次開物 124 重要 基本例題 78 2次方程式の応用 2つの 右の図のように, BC=20cm, AB=AC, ZA=90° の三角形 ABCがある。辺 AB, AC上に AD=AE となるように2点D, Eをとり, D, Eから辺BC に 垂線を引き,その交点をそれぞれF, Gとする。 長方形DFGE の面積が 20cm となるとき,辺FG D E B F G 20 cm 方 基本 64 x= の長さを求めよ。 2 20 CHART OLUTION とみ 文章題の解法 0 等しい関係にあるものを式で表しやすいように変数を 選ぶ 解が問題の条件に適するかどうかを吟味 FG=x とおき, 長方形 DFGE の面積をxで表す (=20)。関係式は2次方程式と なり,これを解けばよい。 xの条件も忘れずに確認する。 解答 共通解をx 2c+ の-2×2 ァ すなわち よって ゆえに 解答 [1] k=2 の FG=x とおくと, 0<FG<BC であるから の A 2つの方程 *定義域 0<x<20 その判別式 *ZB=ZC=45° であるか ら,ABDF, ACEG も直 D E また,DF=BF=CG であるから D<0 であ 2DF=BC-FG 角二等辺三角形。 B F G 20-x [2] a=2 の よって DF= 2 2から 20-x。 *x 2 このとき2 DF·FG= 長方形 DFGE の面積は 20-x.x=20 となり,O よって,確一 [1], [2] から ゆえに 2 *xの係数が偶数 → 26'型 x-20x+40=0 x=-(-10)±((-10)-1·40 =10±2/15 整理すると これを解いて INFORMAT *解の吟味。a この例題の場 去したが,こ 下の PRACT 0<2/15<8 から 0<2/15=/60<64- 10-8K10-2/15, 10土215<10+8 90 よって,この解はいずれも①を満たす。 FG=10±2/15 (cm) 単位をつけ忘れないよ うに。 したがって PRACTICE 連続した3つの自然数の, 最小のものの平方が,他の2数の和に等しい。この3数 求めよ。 xの方程式 ように定数k PRACTICE… 78 40

見づらいですが小さい点が選択した答えです。間違っているところ教えてください。

カッコに入る適を選びなさい 1. We are encouraged to attend the workshop ( ) how to deal with difficult customers 1.. learn 2. learns to learn 4. to learning 2. Lenard didn't have a chance ( ) golf during his vacation. 1. play 2. to ply 3. to playing 4.. playing 3. Please do not hesitate( )me if you need further information. 1. contact 2. contacting to contact 4. Contacted 4. We need to finish ( ) the budget plan by the end of the week. 2.. making 1. make 3. to make 4. made 5. Ms. Coleman is in charge of ( )the brochure featuring our new line of furniture. 1. edit 2.. editing 3. being edited 4. edited 6.() the shipment status of your order, please visit our web site 2.. To check 1. Check 3. Checked 4. To be checked 7. When you send your file, please be sure ( ) it is enclosed. 1. confirm confirming 3. to confirm 4. confirmed 8.()things online is quick and easy, as well as cheaper. 2.. Buying 1. Buy 3. To buying 4. To bought 9.We are looking forward ( ) with you in the near future. 2. working 1. work 3. to work to working 10. We had discussed for hours but Mr. Nash avoided ( ) on a roadmap for the new project 1. agree 2.. agreeing 3. to agree 4. to agreeing 11. Don't forget ( ) him about the matter 2. telling 1. tell 3.. to tell 4. to telling 12.1 decided ( ) you soon. to meet 2. to meeting 3. meeting 4. meet 13. Would you mind ( )me your name and address? 2.. telling 1. tell 3. to tell 4. to telling 14. Mr Hunter gave up ()a new car 1. buy 2.. buying 3. to buy 4. to buying 15. He refused ( ) the boy any money. 2.. gving 1.gve 3. to give 4。 to giving 「提出」 ボタンを押してください。

解答の下から6行目の式なんですがn=kの式のkに+1で【ak+1=-2k+1+1】になるんじゃないんですか？ なんで【ak+1=(ak)^2+2kak-2】になるんですか？

a=-1, an+1=a,?+2nan-2 (n=1, 2, 3, …)で定義される数列(。。 ついて, 一般項 an を推測し,それが正しいことを, 数学的帰納法を用いて証 p.518 基本事項1, 基本 119 【宮崎大] 明せよ。 CHARTO S lOLUTION 漸化式と数学的帰納法 n=1, 2, 3, の 実際に n=1, 2, 3, を推測し,それを証明する。基本例題 104 のINFORMATION も参照。 で調べてn化(一般化)… …のとき (a, a2, as, ………)を求め,その規則性からa. 解答 ai=-1, a2=a°+2·1·ai-2=-3 as=a°+2-2-az-2=-5 a4=a+2-3·as-2=-7 (15)+6(-5)-2 合負の奇数,すなわち (2n-1)=-2n+1 のと推測される。 『ゆえに,an=-2n+1 すべての自然数nについて, ① が成り立つことを数学的帰納法 で証明する。 [1] n=1 のとき のでn=1 とすると よって,①は成り立つ。 [2] n=k のとき①が成り立つと仮定すると 5.0 a=-1 ag=-2k+1 n=k+1 のとき, 与えられた潮斬化式から an+1=(as)?+2kax-2 合漸化式で n=k とする =(-2k+1)?+2k(-2k+1)-2 *ak=-2k+1 を代入。 =-2k-1 =-2(k+1)+1 したがって, n=k+1 のときにも①は成り立つ。 [1], [2] から, すべての自然数nについて① は成り立つ。 onAMSOWM

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EXERCISES 空所に下から適切なものを選んで補い, パラグラフを完成しましょう。 Read the paragraph andchoose the correct words to fill in the blank spaces. 0201. Differences in customs can cause misunderstanding. Let's look at the simple act of patting children on the head. In Japan, sometimes it is acceptable for adults to pat a child on the head, ( ① ) in some countries, patting children on the head is thought to be completely unacceptable. For example, in Thailand, if you pat a child on the head, his or her parents are sure to get angry. Without being aware of ( ② ), problems can occur. ( 3 ), if you are aware of such cultural differences, you can prepare bnel-rlasa of oh ni yourself before you travel abroad. [however, this difference, while] IPle bas visvS1d alrl to tines1 O s oms9d er bins 次のパラグラフを読んで, 表に整理しましょう。 Read the paragraph and fill in the information in the table.

New Frame 650 動詞の語法の答え 押してください

自主学習 にの用紙はコビ EXERCISE A >> 空所に入れるのに最も適切なものを選びなさい。 口01 “How is your soup?" “It tastes ( D like bad 2 badly 3 bad 4 as bad 〈麻布大) 口02 We ( ) our plans with our teacher. O discus 2 discussed about 3 discussed for の discussed on 〈中部大) 口03 The baby ( ) her mother. 0 looks 2 resembles to 3 looks after vud ot o t ar 〈東京歯科大) 4 resembles oa 口04 Hanako ( ) from Osaka Gakuin University in 2000. orlt D completed 3 developed 2 concluded ad) (大阪学院大) aid e) ④ graduated 口05 When Ms. Smith ( ) New York City, she immediately scheduled a meeting with her client. puC O reached 2reached to 3 reached in 4 reached for 〈東海大 口06 Leo had lived in New York City until he ( )a college classmate of his. O got married 2 married with 3 married to aibe ④ married G aW (長南プ 口07 The typhoon is ( ) the island. 2 coming OS Vad od 1eswuor of nolo D arriving ③ entering approaching 〈東洋 口08 He ( ) that he was very hungry. O said me 2 told me 4 was said me 〈杏を 3 was told me 口 09 The catalog ( ) that this year's model is slightly cheaper than last year's. 3 talks の tells 〈センター 0 says 2 speaks )me 80 dollars to get a new bike. 2 took 口10 It( 3 spent 4 cost (十文字学園女 O paid 英文法強化演習 ニュー·フレイ

選択が分かりません。理由付きで教えてください🙇‍♂️

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2 整序 問題 )内の語句を正しく並べ替えなさい。 ue is guone bnl aw on 39bian0 of 2gaidb LA ES 口 buyce ロ口 16 I studied five hours every day after school (get / so / as / to /good / grades) this term. (濁協大) o hoainos fa oraw al ACD (大半) 17 あなたが彼に助言を求めても無駄です。 (asking / use/ advice / no / it / your / him/ is / for). (尾道市立大) pas (大南用) oltil ouedっA 20D 18 Thank you very much for the information, but I have (it / to/which / write / on / nothing) down now. (青山学院大)

教えてください！ 訳まで教えていただけると助かります💦

ロロ 10 As ( ) me, I don't think children should be allowed to watch r TB9V)Twot emord viM のwith 大勝) television after nine o'clock. D about 2 for 3 on (中央大) 口11 Iwas ( ) his sudden visit. 口27 O surprised at ③ surprising at 2 surprised to見金水のの109 の surprising to h 1o gnibne fT (山梨大) (ot (大館会立) ロロ 12 Yuko solved the complicated math question with ( D easily 2 eased 3) ease 4 easy (東海大) 13 Tom went there by car (定) by train. び (大阪学院大) 19 1 instead of 2 with a view to uor3 in order tobli ④ on account of (no Sarme.、 had bette Sure. 14 The compelling success story, amply ( enlivened by sketches of notable politicians of the era. Dillustrates by ) over fifty photographs, is 中央大) 2 illustration of dent の illustrating for ③ illustrated with (慶鷹義塾大) OU O To two mnonths D15 A: Why aren't you ready to go? B: I'm ready. e Bn boweiya2nl 198l bo0 99.SS ロ JRoieivol A: How can that be? It's freezing outside, ( ) you're wearing shorts 大道立) and a T-shirt! O because 2 for 3) so ④ till 6 yet (北里大) 2 整序 問題 )内の語句を正しく並べ替えなさい。 bue 1s on l aw on J9blanoo ota gnids ILA ES C口 (大効学部剤) ロロ 16 I studied five hours every day after school (get / so / as / to/good buyce grades) this term. (濁協大) (大半) 17 あなたが彼に助言を求めても無駄です。 (asking / use 'advice / no/it. your / him is for). (尾道市立大) 大南中) 18 Thank you very much for the information, but I have (it / to write / on / nothing) down now. which (青山学院大) 第2回 修飾に関する問題の 0」

ここはどう訳せばいいでしょうか？

UNU uu 0 A▲ CATT T vu VL other information. Pictograms later developed into writing systems such as hieroglyphs in ancient Egypt and Chinese characters.

解答をなくしてしまって正解が確認できません。 誰か教えてください！

2 | 下線部(a) (e)の中で誤っているものを1つ指摘し、正しく直しなさい。 dT 1. The jails are(a) so (b) crowded that the police (c) does not arrest people (d) for minor offenses. (日本大) 2. Many women (a) claim that there (b) are a lot of discrimination (c) against women in the (d) Workplace in this country. (学習院大) 3.(a) Knowledges (b) about how food (c) influences health can change your (d) eating habits. (同志社女子大) 4. Statistics (a) are the science which (b) deals (c) with the collection, (d) classification, pia- and analysis of (e) numerical data. (北里大) 5.(a) Significant regional differences in food production (b) as a result of global warming will probably lead to (c) increased risk of hungry for an extra 50 million (中央大) people,(d) particularly in Africa. 6. The consultant attempted to collect (a) informations about the (b) causes of the labor (西南学院大) (c) dispute in the (d) company. 7. Billy and Jean decided (a) to buy (b) some (c) furnitures at a (d) flea market. (慶大) 8. The total (a) number of plant and animal species that (b) have been named and (同志社女子大) (c) recorded (d) are uncertain. 9. The sum of (a) all (b) chemical reactions in (c) an organism's living cells (d) are (北里大) called(e) its metabolism.