学年

質問の種類

数学 高校生

【数学III】 一枚目が問題で、2枚目が自分の回答なのですが、不正解になるでしょうか。 また、不正解の場合理由をお願いします🙇‍♂️

a) = S(a) =0 であることを示せ。 F 整式f(x)を(x-a)°で割ったときの商を g(x), 余りを px+qとおくと (22 整式x+ax" + (a+b)x+1が(x-1)°で割り切れるように定数a, b /2次以上の整式S(x) が(x-a) で割り切れるための必要十分条件は [ 145 上の整式了(x) が(x-a)。で割り切れるための必要十分条件は の値を定めよ。 ) 条件の言い換え 未知のものを文字でおく 割り切れる-→(余り)= 0 4 2次式 1次以下の式 章 f(x) = (x-a)°g(x) +px+q 0となるaの値を考える 条件にf'(a)があるから,微分してみる p= 0, q=0 となる 条件を考える。 f(x) = 0となるaの値を考える Action》整式を(x-a)"で割るときは, 微分を利用せよ 園 (1) f(x) を2次式(x-a)°で割った商を g(x), 余りを px+qとおくと D f(x) = (x-a)°g(x) + px+q 両辺をxで微分すると f(x) = 2(x-a)·g(x) + (x-a)g'(x)+カ …2 …0 の, 2 の両辺に x=a を代入すると f(a) = pa +q,f(a) =D p q= f(a) -af'(a) Sca)、ゴa)、aの 引にする {(x-a°g(x)} = {(x-a}Yg(x) +(x-a°g(x) よって f'(a)x+f(a)-af' (a) ゆえに,余りは 整式S(x) が(x-a)° で割り切れるための条件は,すべ f'(a)(x-a)+f(a) と整理できる。 てのxについて f(a)x+ f(a)-af'(a) = 0 が成り立つことである。よって f(a) = 0 …③ かつ f(a)-af" (a) = 0 …④ ③をのに代入すると したがって,必要十分条件は 割り切れるときは px+q= 0 がxについての恒等式で あるから カ= 0,q=0 f(a) = 0 f(a) = f'(a) = 0 者のフロセス

解決済み 回答数: 1
英語 高校生

広島大学の二次試験対策について質問です。 去年から新しく2個の資料から問題を解く形式に変わりました。慣れるために問題を解きたいんですが、去年の分しかありません(TT) 2個の資料を用いて問題を解いていく形式の長文がある大学の過去問を知っていたら、教えて欲しいです! ↓写真... 続きを読む

(I] Read the following two passages and answer the questions. 資料1 A cave-wall depiction of a pig and buffalo hunt is the world's oldest recorded story, claim archaeologists who discovered the work on the Indonesian island Sulawesi. The scientists say the scene is more than 44,000 years old. The 4.5-metre-long panel features reddish-brown forms that seem to depict human-like figures hunting local animal species. Previously, rock paintings found in European sites dated to around 14,000 to 21,000 years old were considered to be the world's oldest clearly narrative artworks. The scientists working on the latest find say that the Indonesian art predates these. Such artworks are notoriously difficult to date because they can be made with raw materials, such as charcoal(注1), which can be much older than the paintings themselves. But scientists excited the archaeological worid when they reported, in 2014 and 2018, that caves in Sulawesi and Borneo held artworks, including animal paintings, which were older than 40,000 years. The panel seems to depict wild pigs found on Sulawesi and a species of small-bodied buffalo, called an anoa. These appear alongside smaller figures that look human but also have animal traits such as tails and long noses. In one section, an anoa is surrounded by several figures holding spears and possibly ropes. The depiction of these animal-human figures, known in mythology as therianthropes (注 2), suggests that early humans in Sulawesi had the ability to conceive of things that do not exist in the natural world, claim 2 the researchers. The oldest such example from Europe is a half-lion, half-human ivory figure from Germany that researchers have estimated to be 40,000 years old-although Some suggest that it might be significantly younger. A roughly 17,000-year-old painting of a bison chasinga bird-headed human, from Lascaux Cave in France, is considered to be one of the earliest depictions of a clear scene in European rock art. To determine the age of the hunting scene, researchers led by archaeologist Maxime Aubert, at Griffith University, Australia, analysed calcite (注 3) 'popcorn' that had built up on the painting. Radioactive uranium in the mineral slowly decays into thorium. So by measuring the relative levels of different isotopes (往0 of these elements, the researchers were able to determine that calcite on top of one pig began forming at least 43,900 years ago, and deposits (注 5) on two anoas are older than 40,900 years. The dating gives scientists clues about the origins of figurative art. "t has always been assumed that the tradition of figurative painting arose in Europe," says Alistair Pike, an archaeological scientist at the University of Southampton, UK. "This shows the tradition does not have its origins in Europe." But he notes that the researchers dated only the portions of the painting that show animals, so it's possible that the therianthropes were added later. Aubert says the team did not find calcite samples over the therianthropes. Aubert thinks the animals and the therianthropes were painted at the same time. They are of similar colour and weathered in the same way, he notes, and all the other cave art from the region is from the same time period. Archacologist Bruno David, at Monash University in Melbourne, Australia, agrees with Aubert's interpretation. If the entire painting is more than 44,000 years olid, it could mean that early humans arrived in southeast Asia with the capacity for symbolic representation and storytelling. David argues. Archaeologists have already found paint palettes and objects such as eggshells with abstract engravings made by early humans in southern Africa, he adds. “'s probably only a matter of time before narrative paintings of this, and much older age, are found in Africa." (Adapted from Nature, December 11, 2019) (注1) charcoal 木炭 (注2) therianthrope 獣人 (注3) calcite 方解石 (注4) isotope 同位体 (注5) deposit 付着物

解決済み 回答数: 1
数学 高校生

赤の線の式はどこから出てきたのでしょうか?教えてください🙏

(2)(-2x+3)*の展開式におけるxの係数を求めよ。 (1)(2a-36+ 4c)" の展開式におけるd'b'cの係数を求めよ。 定理の利用 n! ra"b'°e (p+q+r=jh Action》(a+b+c)" の展開式の一般項は、 展開式の一般項 5! (2a)°(-36)°(4c) = (係数)a°b°c"(p++q+r=5) plg!r! a'b'cとなる4rの値は? 6! (x")(-2x)°3" = (係数)xコ(p+q+r=6) plg!r! xとなる。、4, rの値は? (1)(2a-36+4c)° の展開式における一般項は 5! (2a)°(-36)°(4c) = plg!r! 5!2°(-3)4" -a°b°c" plg!r! 4'6°°の係数は 52°(-3 (b, q, rは0以上の整数で,p+q+r=5) plglr! よって,'°cの係数は,p=2, q= 2, r=1 とおくと 5!2°(-3)?-4 = 4320 (2)(x°-2x+3)6 の展開式における一般項は 6! -xeD+q plg!r! plg!r! (b,4, rは0以上の整数,p+q+r=6) x”の係数であるから,2b+q=7 とおくと q=7-2p 0SqS6 であるから Jo+qtr=6 12p+q=7 を満たす0以上の髪 p, 4, rの組を求め 未知数3つに対しま 式が2つであり,程 程式となるから, 大きい文字pの範 り込むことがポイント なる。 0S7-2pS6 1 7 SpS- 2 2 pは0以上の整数であるから p=1のとき p=2 のとき p=3 のとき したがって,求めるxの係数は p= 1, 2, 3 q=5, r=0 q= 3, r=1 q= 1, r=2 1!5!0! 10! = 1, 3° =1 192- 1440 - 1080 Lr? の項は3つあり,目 項はまとめるから, て整理する。 = -2712 思考のプロセス

解決済み 回答数: 1