Grade

Type of questions

Mathematics Senior High

【三角関数】 (オ)についてです。 答えが③になる理由がわからないです。 問題文からわかるのですか? それとも基本事項ですか?

数学B・数学C (注)この科目には、選択問題があります。(3ページ参照。) での三角比の合成 第1問(必善問題)(配点 15) 紅学・学 数学Ⅱ・数学B 数学 C ウ の解答群 太郎さんは三角関数のある問題の解法の解説を読んで,自分で応用を考えてみる ことにした。 百 3π 2 ①π ② ③ 2π 2 太郎さんは方程式 sin 6. +- =cosxx の解について考えてみることにした。 I の解答群 (1)太郎さんはたとえば="を代入すると水の左辺はア ,右辺は イ sinasin β ① sin a cos β となり一致しないことを確かめた。 また,他に幾つかの値を代入してみたが を満たすxの値はみつからなかった。 sin (bit ④ 2sin asin / ⑤ 2sin a cos B cos asin ẞ ⑥ 2 cosasin β ③ cosacos β ⑦2 cos a cos B 3_ で イ の解答群 6 O 1 /3 ① √2 ② ③ 2 ④ 0 2 (5) ⑥ √2 2 √3 ⑦ ⑧ -1 2 (2)太郎さんは先に読んだ解法にならって次のように考えた。 一般に cos x=sin( ウ -x) (3)太郎さんは別の解法についても考えてみることにした。 太郎さんは一般に inA=sin B のとき, A=オであることに着目し, A=6x+7 B= ウーと考えることでも方程式を解けることに気がついた。 B+zu オの解答群 ⑩ B+nπ (n は整数) ① B+2n (n は整数) ②B+mπ, π-B+nπ (m, n は整数) ③ B+2mπ, π-B+2nπ (m, n は整数) sin ( Sin であるから, 方程式の解は方程式 sin(6æ+/)=sin(ウ-x)…の解 である。 一般に sinxcospt cosin カ (4) 方程式の正の最小の解はx= π,正の小さい方から2番目の解は sin(α+β)-sin(α-β)= H {rindcosp+ cosasige) キク O ケ である。よって, α+3=6x+a-B= ウ 3' -x から α, β を求め, x= πである。 また, 方程式 Xの 0≦x<2である解はシス 個ある。 コサ エ =0に着目することで方程式 すなわち方程式を解くことができる。 (数学Ⅱ・数学B 数学C第1問は次ページに続く。) sin (6x+1)= = 105 x. sx= sin(x) ze 2 cosa sing x-13=6x+3 x- 6 α = 2 cos (2x+27) d-= -x. ( E * + 2 -5- -4- 2d=5x+ x + 6 12 x -x

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Mathematics Senior High

ソタチなんですが、=がつくときとつかないときがわからなくなってしまいます。どのように考えたらいいでしょうか?

[2]を実数の定数と実数xに関する条件.g.rを次のように定める。 p: 3-2x<+2a g:2x+1</+3 :|x|<1 また、条件qrの否定をそれぞれで表すものとする。 (2) 「わかつq」 がであるための必要条件となるようなαの値の範囲は タ チ である。 (1) a=1とする。 命題 ス ⇒ は真である。 ス の解答群 (万かつ g ① (g) ③また また、x=1777が、命題「(pかつg)⇒r」の反例となるような整数nは 個ある。 9-6x1x+6 1-7-3 x>1 C 6x+32 +9 (数学Ⅰ. 数学A第1問は次ページに続く。) ソ の解答群 6 ŷ s 数学1. 数学第1問は次ページに続く。) Signo [2] 条件3-2x<20 を満たすェのの範囲は - 条件:2x+1<+30 を満たすの 条件 x <1 を満たすxの値の範囲は-1 <x<1 (1)=1のとき は<(3-1) c>のと -c<x< また Fixs-1, 15x 条件(かつ(またはg)かつ(または2を満たすxの値の 範囲はそれぞれ (または)x1 かつ (または この中で、条件を満たすxの値の範囲に含まれるものは すなわち、 「(pかつ」は真である。 (かつ) 条件は、 ("0) 条件(かつ)を満たすxの値の範囲は<x<log であるから。条件 かつg)を満たし条件を満たさないxの値の範囲は1x<1/ th. A. が成り 9-6xx-a - 1x < 20-9 x >9-29 x=117 が命題「(pかつq)」の反例となるとき 15 <号 よって 175 n<102-20.4 ゆえに、17. 18, 19, 20 (2) 「かつg」 が、であるための必要条件と なるには、命題 なればよい。 命題 (p. かつg)」 が真と、 が真となるために かつq)」 (3-2) は、右の数直線より (3-24-1 かつ12 (34-1) これを解くと2023 かつ すなわち <第5回> -82- <第5回 -83- <-4- は、条 を満た

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English Senior High

投げやりです。すいません。英語皆無なので代行してください。

【必答問題 5 日常使う物のデザインをする際には標準化 (standardization) という方法がある。 という内容に続く次の英文を読んで、あとの問いに答えよ。(配点44) If we examine the history of advances in all technological fields, we see that some improvements come naturally through the technology itself, while others come through standardization. The early history of the automobile is a good example. The first cars were very difficult to operate. They required strength and skill beyond the abilities of many. Some problems were solved through automation. Other aspects of cars and driving were standardized through the long process of international standards committees: . On which side of the road to drive (constant within countries) country, but variable across On which side f the car the driver sits (depends upon which side of the road the car is driven) -The (2) of essential components: steering wheel, brake, clutch, and accelerator (the same, whether on the left- or right-hand side of the car) Standardization is one type of cultural constraint. With standardization, once you have learned to drive one car, you feel confident that you can drive any car, anyplace in the world. Standardization provides a major breakthrough in usability. I have enough friends on national and international standards committees to realize that the process f determining an internationally accepted standard is laborious. Even when all members agree on the merits of standardization, the task of selecting standards becomes a long, political issue. A small company can standardize its products without too much difficulty, but it is much more difficult for an industrial, national, or international body to agree to standards. There even exists a standardized procedure for establishing national and international standards. organizations works on standards. First, a set of national and international Then when a new standard is proposed, it must work its way through each organization's approval process. Standards are usually the result of a *compromise among the various competing positions, which can often be an inferior compromise. Sometimes the answer is to agree on (4 ). Look at the existence I both metric and *English units; of left-hand- and 18 right-hand-drive automobiles. There are several international standards for the *voltages and *frequencies of electricity, and several different kinds of electrical plugs and sockets- which cannot interchanged. With all these difficulties and with the continual advances in technology, are standards really necessary? Yes, they are. Take the everyday, clock. It's standardized. Consider how much trouble you would have telling time with a backward clock, where the hands revolved "counterclockwise." A few such clocks exist, primarily as humorous conversation pieces. When a clock truly violates standards, such as (the one in Figure 1, it is difficult to determine what time is being displayed. Why? The logic behind the time display is identical to that of conventional clocks: there are only two differences - the hands move in the opposite direction (counterclockwise) and the location of "12," usually at the top, has been moved. This clock is just as logical as the standard one. It. bothers us because we have standardized on a different scheme, on the very definition of the term clockwise. Without such standardization, clock reading would be more difficult: you'd always have to figure out the "mapping. E) compromise *metric メートル法の *English units イギリスの計量法(ヤードボンド法) *frequencies of electricity 電気の周波数 voltages E *mapping 対応づけ (2つのものの間の関係を意味する専門用語) 問1 下線部(1)の内容を、 同じ段落の自動車の例に基づいて30字以内の日本語で答えよ。た だし、句読点も字数に数える。 問2 本文中の空所 (2) に入る語として最も適当なものを、次のア~エのうちから一つ 選び 記号で答えよ。 7 color イ location ウ price I sight (239) 問3 第2パラグラフ (Standardization is one type of ...) について 次の Question に対す る Answer となるように、空所に入れるのに最も適当なものを,次のア~エのうちから一 つ選び、 記号で答えよ。 Question: What is "a major breakthrough in usability" provided by standardization? Answer Because of standardization, you ( device of the same kind all over the world. 7 can apply what you have learned to イ can make cannot produce I cannot use what you have learned when using 問7 下線部(5)が表す図 (Figure 1)として最も適当なものを、次のア~エのうちから一つ選 び記号で答えよ。 11 12 1 12 ) any machine or 10 2 10% 9 3 1 5 6 問4 下線部(3)の示す内容を, 40字程度の日本語で答えよ。 ただし, 句読点も字数に数える。 ウ 11 6 1 問5 次の文を第3パラグラフ (Ihave enough friends...) に入れるとき,本文中の①~ のうちのどの位置に入れるのが最も適当か、 次のア~エのうちから一つ選び, 記号 で答えよ。 9 3 Each step is complex, for if there are three ways of doing something, then there are sure to be strong proponents of each of the three ways, plus people who will argue that it is too early to standardize. 70 問8 最終パラグラフ (With all these difficulties...) の内容をもとに, 次の Question に2 語程度の英語一文で答えよ。 Question: According to the writer, why is the standardization of the everyday clo necessary? イ 2 ウ H O 問6 本文中の空所 (4) に入れるのに最も適当なものを、次のア~エのうちから一つ選び 記号で答えよ。 7 a single standard 1 several different standards ウ the same standard I too few standards <<-20-> <-21->

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English Senior High

英検準一級の要約問題です。 添削していただけないでしょうか?🙇‍♀️

英検公式サンプル問題 ⚫ Instructions: Read the article below and summarize it in your own words as far as possible in English. ⚫ Suggested length: 60-70 words Write your summary in the space provided on your answer sheet. Any writing outside the space will not be graded. From the 1980s to the early 2000s, many national museums in Britain were charging their visitors entrance fees. The newly elected government, however, was supportive of the arts. It introduced a landmark policy to provide financial aid to museums so that they would drop their entrance fees. As a result, entrance to many national museums, including the Natural History Museum, became free of charge. Supporters of the policy said that as it would widen access to national museums, it would have significant benefits. People, regardless of their education or income, would have the opportunity to experience the large collections of artworks in museums and learn about the country's cultural history. Although surveys indicated that visitors to national museums that became free increased by an average of 70 percent after the policy's introduction, critics claimed the policy was not completely successful. This increase, they say, mostly consisted of the same people visiting museums many times. Additionally, some independent museums with entrance fees said the policy negatively affected them. Their visitor numbers decreased because people were visiting national museums to avoid paying fees, causing the independent museums to struggle financially.

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English Senior High

高校受験を控える弟のテストです。回答がなく困っています。どなたか回答してくれませんか?

BO (2)次は,かえで町で開催されるイベントのお知らせです。 Kaede Summer Festival We will have Kaede Summer Festival in Kaede Park in August. There will be more than 60 shops, and you can enjoy many events on stage. In the evening, you will see beautiful fireworks. Come and enjoy the summer! Schedule <Day 1> Saturday, August 10 From 9 a.m. to 9 p.m. 10:00 Yosakoi Dance 1:30 Music Performance by 6:00 Mr. William Teller Bon-Odori 7:00 Fireworks Show Information about Events Mr. William Teller will join our festival. He is a famous singer around the world. When he was younger, he lived in Kaede Town for one year. He decided to come back for Kaede Summer Festival this year. Come and enjoy his great music! <Day 2> Sunday, August 11 From 9 a.m. to 8 p.m. 000.00 00002 11:00 Dance Performance by children 3:00 Yosakoi Dance 6:00 Bon-Odori 7:00 Fireworks Show Kaede Yosakoi dance team will show their performance. They won a Yosakoi contest in Hokkaido last year. Their performance will be exciting. They have made their dance easy for the people of Kaede Town. You can dance with them! On the second day, children of the dance club at Kaede Elementary School will perform their dance. They practiced dancing hard for this festival. Enjoy their cool dance! will sď You can see the fireworks show from anywhere in the park. * Children under 13 years old can't enjoy the festival after 6 p.m. without a parent. (E) schedule anywhere どこでも W in evil won bis vti alueji ni rood asw.exp VT to adband pig box by var Joods moilimbi amox fox ral0Y+ rady (nam you of ved Imobre VIO 2008 in noble nibit won a toy tili da ni vil o bha alging so I -7-

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