Grade

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Mathematics Senior High

写真の問題は、f(a)×f(0)をやる前に極値を持つことを増減表、もしくはf’(t)のDが0より大きいことを用いて示す必要ってないんですか??

例題225 3本の接線が引けるための条件(2) 点P(a,b) から曲線 y=x2x に異なる3本の接線が引けるとき,点 P(α, b) の存在範囲を図示せよ. 考え方 曲線上の点(t, -2t) における接線の方程式に(a,b) を代入した3次方程式が,異 なる3つの実数解をもつための条件をα bに関する不等式で表す. |解答 y=x-2x より,y'=3x2-2 SA したがって, 曲線上の点(t, -2t) における接線の方程 式は、 y-(t³-2t)=(3t² − 2)(x −t) つまり, y=(3t2-2)x-2t3 この直線が点(a,b) を通るので, b=(3t²-2) a 2t³ ANAL り 2t3-3at2+2a+b=0 - b=0...... tの方程式①が異なる3つの実数解をもつような(a,b) ←話を変換する の条件を求める. f(t)=2t3-3at2+2a+6 とおくと, STARS f'(t)=6t2-6at=6t(t-a) INSC f'(t)=0 とすると, t=0, a したがって, ① が異なる3つの実数解をもつのは, y=f(t) のグラフがt軸と異なる3点で交わるときより, a≠0かつf(0)・f(a)<0 336E2 f(0) f(a)=(2a+b)(-a²+2a+b) <0より, |2a+b<0 [2a+b>0 1-a³+2a+b<0 [b>-2a つまり, b<a³-2a よって、求める領域は, 450 64 右の図の斜線部分で, 界線は含まない. または または Wa 業式 -a³+2a+b>0 [b<-2a b>a³-2a ba b=a³-2al Nau はグラフで考えよ √2 a b=-2a a>0 のとき ƒ(0)>0 A a a f(a)<0 a < 0 のとき f(a)>0 ! XC x f(0)<0 f(a) と f(0) が異符 号 2015 a=0のとき, f(0) f(a) ={f(0)}20 より, α = 0 は f(0) f(a)<0に含ま れている. 原点で接する.

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English Senior High

4番の書き直しの答え教えてください🙇‍♀️

He studied maps, made maps of his own voyages and of the voyages of others, and read books of travel. And always he said to himself: "There is an ocean east of China and an ocean west of Europe. Well, if the earth is round, it must be the same ocean that reaches from Europe around to China and laps the shores of both. And anyone can see that the earth is round if he watches how a ship sails out of sight on a clear day. Its hull disappears first, then the sails, till at last the very tip of the mast drops out of sight over the curve of the sea. If I could sail westward far enough, I know I should reach the eastern lands, and the great prob- lem would be solved." But Columbus had no way of proving his belief that he could get to the East by sailing (©). He was a poor man, and he had no money of his own with which he could buy ships, pay for supplies, and hire sailors to prove his kings and queens were rich () and powerful () in the belief. Only days to *fur- nish what he needed. For many long years (toto / helend / get / tried him/ships and sailors / one or another of the kings of Europe) with which to make the voyage. Of the great countries only France remained, and Columbus determined to go there. If the king of France failed him, no hope was left. *hull : 「船体」 *furnish: 「~を提供する」 C ships 1) 文中の空所ⓢⓔ (2ヵ所ある)に適語を1話ずつ補え, (各3) 2) 下線部の不定詞に用法の点で最も近い不定詞を含む文を次から1つ選び, 記号で答え £. (3) a b Cin It is difficult to finish it within a week. She was happy to receive. a love letter. You must work hard to master math. d She must be mad to say such a thing. 3) カッコ ⓘ が 「彼はヨーロッパの国王に誰かれとなく船と船員を貸してもらおうと努めま した」 という意味を表すように、 カッコ内の語句を並べ換えよ。 (6) 4) 下線部 ⑧ とほぼ同意になるように、次の書き出しに続けて英文を完成させよ。 (4) Columbus determined that ... 5) 本文の内容と一致するように,次の空所に適切な語を1話ずつ補え。 (各3) 7 Geography was among Columbus's ( ) studies. ). At the age of fourteen, Columbus became a ( The king of France was the (1) hope of Columbus. ( 12:10) を和訳せよ。 6) 下線部 how de P jole sicut to stay at badan dan undhe as.

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