何をどう考えたら2枚目のように予想できるのでしょうか？

13 無限級数と図形/相似タイプー AB=4,BC=6, ∠ABC=90°の直角三角形ABCの内部に, 図のように正 方形 S1,S2, ･・・ Sn, がある. (1) S1 の1辺の長さを求めよ. (2) Snの面積を an (n=1,2,3, ...) とする. an をnの式で表せ. (3) (芝浦工大) lim k の値を求めよ. n→wk=1 A B St S2 Sn+1 Sn C

解き方分からないので教えてください🙏

0<x<, Tsin¹x +2sin xcosx-cos¹x) Six250 -((-5³x - 5m³x) Sin - (Cor³x - St³x)² = √2 safx の解は, x + 25m XG₂ X = (1 - ses ³x)² C <x<- - 1 +291²³x - x B z -28m² x + 2 sinx cox -1 > nxi 2 ( SA²X + SMX (0³X = =/ ) 1/1/2 である。

(3)の問題 答えは（x－y＋2）（2x－y＋3）だったのですが、これはxについて整理したもので、yについて整理して解くと、（y－2x－3）（y－x－2）になったのですが、これでも合っていますか？

PRACTICE 150 15② 次の式を因数分解せよ。 (1) (3) x²+3xy+2y²+2x+3y+1S1+ 2x²-3xy+y²+7x-5y+6+x

積分の計算です。部分的に分かるところだけでも良いので解ける方教えて下さい…!!!!

2匹 1 √x cos(4x + x) dx 元 S3sin (3-9) da 2 3 $i = = dx 5² c²dx 2 9 N 2 4 1 Sxcos 3x dx 2匹 0 3 22 ² Sxe ²² dx 2 o cos zada e S₁ log/x/dx

この文章の4行目にある、because they would harm whatever bacterial life forms might be present on the planet の文構造についてなのですが、might の前にあるはずの関係代名詞の主格whi... 続きを読む

次の文章を読んで、 問1~4に答えなさい。 The establishment of a colony on Mars has been a dream for decades. Inevitably some people have objected to the idea of colonizing Mars on both ideological and practical grounds. Some object to humans living on Mars because they would harm whatever bacterial life forms might be present on the planet. Others oppose Mars settlements because they disagree with the idea of using the Red Planet as a "backup" in case the Earth is destroyed. Those in favor of colonizing Mars, however, look to spread the human race beyond our single planet. The practical considerations of surviving long term on a world without a breathable atmosphere, no surface water, exposure to radiation, and extremes of heat and cold all have to be addressed first. Mars colonists could survive in domed cities, extracting and recycling resources from the Martian environment. However, a more interesting plan for the settlement of the Red Planet involves a process called terraforming, turning the dangerous environ- ment of Mars into something resembling Earth. Billions of years ago, Mars was more like Earth, with a thick atmosphere as well as oceans and rivers of surface water. The planet may well have had complex life forms. However, sometime in the distant past, Mars lost its (A ). When Mars found itself without the protection of that field, solar wind relentlessly stripped it of its atmosphere, quickly turning the planet into the frozen desert it currently is. While a number of schemes exist to restore Mars' atmosphere, creating a runaway greenhouse process that would raise its temperature, NASA and some academic researchers recently came up with a simple way to achieve the process naturally. The idea involves the creation of an electromagnetic shield between Mars and the Sun to protect the Red Planet from solar wind. Without the solar wind stripping it away, the atmosphere of Mars would gradually become thicker. Soon the temperature on the Martian surface would become high enough to release the trapped ( B ) at the poles, accelerating the (C). Water ice at the poles would melt, giving Mars back some measure of its oceans and rivers. All humans would have to do is introduce

イの文の構造が分かりません、 butがあるのに訳し方が全然違うのも教えて欲しいです

a C にあてはまるものを, CXUK XL IS '', 元々合んな but the overall effects were weaker than food shortages at earlier how hunger as a baby and in early childhood significant differences in learning abilities later in childhood and easily annoyed, careless, and unhappy ages can result in slight but parents engage less with

3つの問題を教えてください！お願いします！

(ii) 次の分数 を有理化しなさい。 (8) J (7) 次の等式が成り立つことを示し, n=1,2 できればn=3のときの積分を実行しな さい。*1 lim n 2n-1 n→∞ 1 x2+1 1 nn+1n dx を求めなさい。 1 4+2+1 + 1 + nn + 2n .1 dx 1m²) - S14 = nn + nn 1+xn

✓をつけた問題について解説をお願いしたいです😭(選択肢で×をしているのは違うと分かりますが､他のものがなぜ違うかが分かりません💦)

2001 They will leave this country when the rainy season ℗ started 242 He's in Tokyo now. = He ( 2 has been 2003 John and Mary ( 205 ( Ⓒhave been knowing 3 were knowing 2004 Please call me if something (3 Ⓒhappening 3 happens to His uncle ( Ⓒhas died Ⓒ It has five years Ⓒ It has passed five years 4) since I came to this town. 0 still @has gone 2 2 3 will watch starts 0 My mother ( I Ⓒhad been cooking 3 cooked 007 She 4) when the telephone rang. is having breakfast would have breakfast would have been 3 will have been ) to Tokyo. ) each other since 1976. ten years ago. 2 died 2 3 will start is out ) this TV set. have known were known 2 happen to will happen to 4 2 There are five years It is five years had died has breakfast was having breakfast 008 They asked us to hire a new worker last week, but we haven't decided (3 ℗ already 3 yet 4 any more 09 I said to Janet, "Please lend me the DVD when you ( 2 ) it." would watch 2 have watched 4 will have watched I'm so glad I don't smoke any more! Next month it smoking. supper for two hours when I got home. 2 has been cooking 4 will have cooked 3 1/2 2 would be has been would start 4 is coming (東京電機大) has been died (見学園女子大) (大) (大阪産業大) ) ten years since I quit

2数の積が最大公約数×最小公倍数になるのはなぜですか？

478 C 00000 基本例題110 最大公約数・最小公倍数と数の決定 (1) 次の条件を満たす2つの自然数α, bの組をすべて求めよ。 ただし, a<bとする。 (1) 和が192, 最大公約数が16 (2) 積が 375, 最小公倍数が75 指針 2つの自然数α b の最大公約数をg, 最小公倍数を1とし, a=ga', b=gb' とすると ' と'は互いに素 21=ga'b' 3 ab=gl が成り立つ (最大公約数と最小公倍数の性質)。 これを利用する。 (1) 条件から a=16α′', b=166' (a'<b') とすると, 1 より α', ' は互いに素な自然数と 解答 (1) 最大公約数が16であるから,α, b は ga=16a', b=166′と表される。 ただし,α','は互いに素な自然数でα'<b' 和が192 であるから 16α'+166′=192 なる。 和の条件を利用してα'+b' の値を求め, (2) まず3を利用して最大公約数g を求める。 次に, α=●α', b=b 公約数)として、 2によりα'b' の値を求める。 (1) 同様, 1 にも注意する。 CHART 数の積=最大公約数×最小公倍数 に注意してα'′,6′' の組を求める すなわち a'+b'=12..... ① を満たす, 互いに素である自然数 α', b' (α' <b') の組は したがって <b's α' (a', b')=(1, 11), (5, 7) したがって (a, b)=(16, 176), (80, 112) e (2) 最大公約数をg とすると, 積が 375, 最小公倍数が75 であ るから 375g・75 g=5 α'b' =15 20 よって, α=5d', b=56' と表される。 ただし,α, B'は互いに素な自然数で ここで, 75=5α'b' が成り立つから (2) ② を満たす,互いに素である自然数 α', b' (a'′ <b') の組は (a', b')=(1, 15), (3, 5) (a,b)=(5,75), (15,25) p.476 基本事項( 自然数a,bの表現 a=ga', b=gb (a,b は互いに素 ←ab=gl 基本例題 次の(A), (B a<b<cと (A) ●は求めた最大 BAN 1 を利用｡a<bからα<b となる。 ab=gl (3) ①の右辺 12 に注目すると、 α′ が偶数の場合は不適。 a=16a', b=166' 1を利用。 l=ga'b' (2) #A a=5a', b=5b' (B) 小 (C) 指針 前へ 2 a, ろと a bas1-08 102-E-S-48 ag, b-gb&RE 練習 次の条件を満たす2つの自然数a, b の組をすべて求めよ。 ただし, a <bとする。 ② 110 (1) 和が175, 最大公約数が35 (2) 積が 384, 最大公約数が 8 (3) 最大公約数が 8, 最小公倍数が240 (A) 解答 (B)の前 ただし 60 8806001 [(3) 大阪経大] (p.484 EX78 角 (B)の これ ゆえ (A) 7 また [1] D

この問題は何故、ウが答えになるのですか 全くわからないので助けて下さい

15 △ABCにおいて, AB = 4,BC=√3, ∠ABC=150° のとき、辺ACの長さを求めよ。 7 √21 12√6 ウ 31 H' 4√2