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Mathematics Senior High

[1]の軸x=-2分の2-aのところを、x=-1+2分のaにしたらダメですか?

口 重要 例題127 2次方程式の解と数の大小 (3) OOOO0 197 方程式x°+(2-a)x+4-2a=0が-1<x<1の範囲に少なくとも1つの実数解 をもつような定数aの値の範囲を求めよ。 基本 125,126 指針> [A] -1<x<1の範囲に,2つの解をもつ(重解を含む) [B] -1<x<1の範囲に, ただ1つの解をもつ ような場合が考えられる。 [B] の場合は, 解答の [2]~ [4] のように分けて考える。 例題125, 126同様, D, 軸, f(k) が注目点である。 解答 判別式をDとし,f(x)=x°+(2-a)x+4-2aとする。 3章 f(-1)=-a+3, f(1)=-3a+7 [1] 2つの解がともに -1<xs1の範囲にあるための条件は D=(2-a)°-4-1·(4-2d)-0 (交点が 13 D-0 2 の 「D>0 次 2-a 不 2-a <1 2 軸x=- 「1 -1 について 2 等 程式である。 係数)キ0に出 (-1)=-a+3>0 のから ゆえに aミー6, 2冬a f(1)=-3a+7>0 (a-2)(a+6)20 の~のを解くと, 解は順に 3) a+4a-1220 よって -1 の, a< 3 0<a<4 冒針のグラフト , a>0(ガ) コく0 (グラフ れの場合も (0)<0か (2)<0 『を満たす結 6~8の共通範囲は" 2<a< 3 [3] a=3 [4] a= [2] 解の1つが -1<x<1,他の解がx<-1または1<xにあ るための条件は f(-1)f(1)<0 :::(-a+3)(-3a+7)<0 ゆえに<a<3 3 7 2 よって (a-3)(3a-7)<0 f(-1)=0 1) ゆえに a=3 よって このとき, 方程式は x°-x-2=0. (x+1) (x-2)=0 よって,他の解はx=2 となり, 条件を満たさない。 [4] 解の1つがx=1のときは ーa+3=0 などと場的 5必要はない a 0 2734 3 -6 f(1)=0 2) 7 a= 3 rlllh よって -3a+7=0 ゆえに 3 a 2 3 このとき,方程式は 3x°-x-2=0 .. (x-1)(3x+2)=0 [1], [2] で求めたaの値の範 囲と,[4] で求めたaの値を 合わせたものが答え。 2 よって,他の解は x=- となり,条件を満たす。 3 2Sa<3 [1]~[4] から?) 練習 方程式x°+(a+2)x-a または T|0

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English Senior High

3段落目の2文目でどこで他の州でと言っているのかわかりません。。stateとthis stateと分けているからstateが他の州という意味になるのでしょうか?

16 本 単A1OS 第4問 次の問い(A B) に答えよ。(配点35) bahaっ t rmed about Clyelho nw eっもndhaらgi oke A 次の文章はある報告書の一部である。この文章とグラフを読み,下の問い(間 に入れるのに最も適当なものを,それぞれ下の from sticki 28umel tio Sw 1~4)の 35 38 g Direeり o d行dde R cause 0~Oのうちから一つずつ選べ。 re sonich lates t0 Engiish. (here remane 問1 97 Magnet and Sticky: A Study on State-to-State Migration in the US g Seli5 alvu bue ainobute Tuo ToY risnnoijesup Some people live their whole lives near their places of birth, while others ale97 io 0 ge 10 elsog 91u11 brts SO bue move elsewhere. A、study conducted by the Pew Research Center looked into the state-to-state moving patterns of a iencans. T he study examined each Frefichand Spamssh state to determine how many of their adult citizens have moved there from ld e nostusefui bec Chna is a fasteOwing ecoons States with high percentages of these residents are called Chimese beeause Chioa has the greatest *magnet" states in the report. \The study also investigated what percent of other states. u beusefmte pegol adults born in each state are still living there. States high in these numbers uronean are called ticky) states. The study found that some states were both magnet and sticky, while others were neither. \There were also states that were only magnet or. only sticky. Figures 1 and 2 show how selected states rank on magnet and sticky scales, respectively. Eloridd' is a good example of a state that ranks high on both. \ Seventy percent of its current adult population was born in another state; at the same time, 66% of adults born in Florida are still living there. On the other hand, West Virginia is neither magnet (only 27%) nor, particularly sticky(49%). In other words, it has few newcomers, and relatively few West Virginians stay there. Michigan is a typical example of a state which is highly sticky, but very low magnet. In contrast, Alaska, which ranks near the top of ss the magnet scale, is the least sticky of all states. g oareon 9 at Three other extreme examples also appear in Figures 1 and 2. The first is Nevada) where the high proportion of adult residents born out of state makes this state America's top magnet. \(New York) is at the opposite end of the magnet scale, even though it is attractive to immigrants from other nations. The third extreme example is Texas, at the opposite end of the sticky scale 004

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