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Mathematics Senior High

175.3 訂正後の記述に問題はないですかね??

例題165同様、 け平行移動したもの フと対称 フと対称 フと対称 昇する。 軸との交点の (真数) = 1 とすると, x+3=1から x=-1 logeb logea logab=i oga MN=loga Me 軸との交点の x-8-1から log, (4x-8) 基本例題 175 対数の大小比較 次の各組の数の大小を不等号を用いて表せ。説明 (1) 1.5, log35 (2) 2, log49, log25 (3) logo.53, logo.52, log32, log52 p.273 基本事項 ② 指針 対数の大小比較では,次の対数関数の性質を利用する。 a>1のとき0<b<glogap<logag AUTO 大小一致 関係をいた 0<a<1のとき 0<p<glogp>logaq -------------- に関する箇所 ージで触 CHART 対数の大小 底をそろえて 真数を比較 大小反対 (不等号の向きが変わる ) まず異なる底はそろえることから始める。 (1) 小数 1.5 を分数に直し,底を3とする対数で表す。 (2) 210g49を底を2とする対数で表す。 (3) 4数を正の数と負の数に分けてから比較する。 ・........ 0 また, 10g32, 10g52の比較では, 真数がともに2であるから 底を2にそろえると考えやすい。 解答 0x T (1) 1.5 = 3 3 2 = -log33=log3 32 また (32)=3327>52 & 底3は1より大きく35であるから したがって ( 22210g2=10g222=10g24, 底2は1より大きく, 3 4 <5であるから log33ž>log35 1.5 >log: 5 すなわちょ<0.2 x 1218 同値では10g232 log49= ED ECC =10g23 log23<log24 <log25 すなわち 10g9 <2<log25 (3) 底0.5は1より小さく,3>2>1であるから H logo.53<logo.s2<0 (175 1 log23' すなわち したがって log22² 6-1 log32= log52= 1 <3 <5であるから 0<log23<log25 moke (Fall-colto 13___1 よって 0< log25 で,底2は1より大きく log25 log2 3 2175 (1) log23, log25 はな よいお願 0<log52<log32 logo.53 <logo.52 <logs 2 <logs2 10gag log.pt 0 ye 次の各組の数の大小を不等号を用いて表せ。 10144 p y=logaxのグラフ a>1 q x y 0<a<1 logap OP loga q 底はそろえよ 1 9 <A > 0, B>0ならば A>B⇔A'>B' 底の変換公式。 のように 不等号の向きが変わる。 指針のy=10gaxのグラフ から, 0<a<1のとき α>1 のとき 0<x<110gax<0 x>1⇔10gax>0 0<x<1⇔loga x>0 x>1⇔logax < 0 Op.293 EX113, (2) logo.33, logo.35 (3) logo.54, log24, log34 275 5章 31 対数関数

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English Senior High

【至急】この文章の題名として最も適切なものは何かという問いです。私は、②だと思ったのですが、解答は①です。 よろしくお願い致します。

次の英文を読んで、 問 1 ~ 問8に答えなさい。 (配点50点) Inspired by fierce family battles for the last remaining piece of cake, a team of three high schoolers in southwestern Japan's Oita *Prefecture have invented a device that cuts round cake and pizza evenly, no matter how many pieces are sliced, and their creation won the top prize in the prefecture's invention contest in 2021. The three students are members of the industrial technology club at Oita Prefectural Kunisaki High School. Their clever invention to solve a daily life problem with a flexible *2mindset won the governor's award in the competition and is gathering attention. Twelve students in the electronics department of the school ( 1 ) to the industrial technology club, which has continued to submit works to the invention contest for about 40 years. Five of their creations won prizes in the high school division of the 2021 edition of the competition that was launched in 1941. The top prize-winning device, whose name translates to "Let's kindly divide it up," was invented by second-year students Wataru Onoda, 16, Rinto Kimura, 17, and third-year student Mitsumi Zaizen, 18. It was inspired by bbattles for birthday cake in Onoda’s family. He needed to defeat his rival two sisters in games of rock-paper-scissors to get the last remaining piece because the cake was always cut into eight pieces despite his family having seven members. Based on Onoda's idea to equally divide a cake into seven pieces, Kimura created a drawing and computer program to precisely make parts for the device. While Zaizen could not be involved in the actual production due to preparations for her university entrance she created a video for the presentation, using her experience of winning a prize in the competition for two years in a row. exams, (2 ) a two-month trial and error process, the device was completed. When a cake or pizza is placed on a turntable made with a laser beam machine, it can be cut evenly into

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