※中学3年生向け「平方根,ルート」について,このサイトには次の教材があります. この頁へGoogleやYAHOO ! などの検索から直接来てしまったので「前提となっている内容が分からない」という場合や「この頁は分かったがもっと応用問題を見たい」という場合は,他の頁を見てください. が現在地です. ![]() ![]() |
■2乗比較・・・(発展学習)・・・![]() |
2乗すると根号が取れて大小が分かることが多いのですが、次の例のように根号が付いたままでも比較できます。
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■問題 (1) 次のうち最も大きなものを選びなさい。 |
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各数とも正だから2乗して比較すると
順に 70,69,72,68 となります。 |
(2) 次のうち最も小さなものを選びなさい。 | |
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各数とも正だから2乗して比較すると 順に 20,18,14,16 となります。 |
(3) 次のうち最も大きなものを選びなさい。 | |
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近似値で十分な差があるときは、近似値で比較することも可能です。 順に 2×1.414+1.732=4.56 3+1.414=4.414 2+2.641=4.641 2.236+2.449=4.685 ----- 2乗比較では 順に ![]() |
(4) 次のうち最も小さなものを選びなさい。 | |
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√の中が2桁のものは、小数までは覚えないのが普通。この問題は整数部分だけでは解けません。
この問題では、2乗で比較します。 順に ![]() |
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