負分?jǐn)?shù)比大小題目及答案

單項選擇題（每題2分，共10題）1.比較\(-\frac{1}{2}\)與\(-\frac{1}{3}\)的大小，正確的是（）A.\(-\frac{1}{2}>-\frac{1}{3}\)B.\(-\frac{1}{2}<-\frac{1}{3}\)C.\(-\frac{1}{2}=-\frac{1}{3}\)答案：B2.以下負分?jǐn)?shù)中最大的是（）A.\(-\frac{3}{4}\)B.\(-\frac{2}{3}\)C.\(-\frac{5}{6}\)答案：B3.比較\(-\frac{4}{5}\)和\(-\frac{5}{6}\)，（）更大。A.\(-\frac{4}{5}\)B.\(-\frac{5}{6}\)C.一樣大答案：A4.與\(-\frac{2}{7}\)比較大小，\(-\frac{3}{8}\)（）\(-\frac{2}{7}\)A.>B.<C.=答案：B5.負分?jǐn)?shù)\(-\frac{1}{5}\)與\(-\frac{1}{6}\)，（）小。A.\(-\frac{1}{5}\)B.\(-\frac{1}{6}\)C.無法確定答案：A6.比\(-\frac{3}{7}\)小的負分?jǐn)?shù)是（）A.\(-\frac{2}{7}\)B.\(-\frac{4}{7}\)C.\(-\frac{3}{8}\)答案：B7.比較\(-\frac{5}{9}\)和\(-\frac{4}{9}\)，（）小。A.\(-\frac{5}{9}\)B.\(-\frac{4}{9}\)C.相等答案：A8.在\(-\frac{7}{10}\)，\(-\frac{6}{10}\)，\(-\frac{8}{10}\)中最小的是（）A.\(-\frac{7}{10}\)B.\(-\frac{6}{10}\)C.\(-\frac{8}{10}\)答案：C9.比較\(-\frac{1}{8}\)和\(-\frac{1}{9}\)，（）大。A.\(-\frac{1}{8}\)B.\(-\frac{1}{9}\)C.一樣答案：B10.以下負分?jǐn)?shù)中最小的是（）A.\(-\frac{1}{3}\)B.\(-\frac{2}{5}\)C.\(-\frac{3}{7}\)答案：C多項選擇題（每題2分，共10題）1.以下比\(-\frac{1}{2}\)小的負分?jǐn)?shù)有（）A.\(-\frac{2}{3}\)B.\(-\frac{3}{4}\)C.\(-\frac{4}{5}\)答案：ABC2.大于\(-\frac{3}{5}\)的負分?jǐn)?shù)是（）A.\(-\frac{2}{5}\)B.\(-\frac{1}{5}\)C.\(-\frac{4}{5}\)答案：AB3.比較大小，以下正確的是（）A.\(-\frac{1}{4}>-\frac{1}{5}\)B.\(-\frac{3}{7}<-\frac{2}{7}\)C.\(-\frac{5}{9}>-\frac{6}{9}\)答案：ABC4.比\(-\frac{5}{8}\)小的負分?jǐn)?shù)有（）A.\(-\frac{6}{8}\)B.\(-\frac{7}{8}\)C.\(-\frac{4}{8}\)答案：AB5.下列負分?jǐn)?shù)中比\(-\frac{2}{3}\)大的有（）A.\(-\frac{1}{3}\)B.\(-\frac{2}{4}\)C.\(-\frac{2}{5}\)答案：ABC6.小于\(-\frac{4}{7}\)的負分?jǐn)?shù)是（）A.\(-\frac{5}{7}\)B.\(-\frac{6}{7}\)C.\(-\frac{3}{7}\)答案：AB7.比較大小正確的是（）A.\(-\frac{3}{10}>-\frac{4}{10}\)B.\(-\frac{5}{12}<-\frac{4}{12}\)C.\(-\frac{7}{15}>-\frac{8}{15}\)答案：ABC8.比\(-\frac{1}{6}\)大的負分?jǐn)?shù)有（）A.\(-\frac{1}{7}\)B.\(-\frac{1}{8}\)C.\(-\frac{1}{9}\)答案：ABC9.以下負分?jǐn)?shù)中比\(-\frac{3}{8}\)小的是（）A.\(-\frac{4}{8}\)B.\(-\frac{5}{8}\)C.\(-\frac{2}{8}\)答案：AB10.大于\(-\frac{6}{11}\)的負分?jǐn)?shù)是（）A.\(-\frac{5}{11}\)B.\(-\frac{4}{11}\)C.\(-\frac{7}{11}\)答案：AB判斷題（每題2分，共10題）1.\(-\frac{1}{3}>-\frac{1}{4}\)。（）答案：×2.負分?jǐn)?shù)\(-\frac{2}{5}\)比\(-\frac{3}{5}\)大。（）答案：√3.\(-\frac{4}{7}<-\frac{3}{7}\)。（）答案：√4.比較\(-\frac{5}{9}\)和\(-\frac{6}{9}\)，\(-\frac{5}{9}\)小。（）答案：×5.\(-\frac{1}{8}>-\frac{1}{7}\)。（）答案：×6.負分?jǐn)?shù)\(-\frac{3}{10}\)比\(-\frac{2}{10}\)小。（）答案：√7.\(-\frac{7}{12}<-\frac{6}{12}\)。（）答案：√8.比較\(-\frac{2}{3}\)和\(-\frac{3}{4}\)，\(-\frac{2}{3}\)大。（）答案：√9.\(-\frac{4}{5}>-\frac{5}{6}\)。（）答案：√10.負分?jǐn)?shù)\(-\frac{1}{6}\)比\(-\frac{1}{5}\)大。（）答案：√簡答題（每題5分，共4題）1.如何比較兩個負分?jǐn)?shù)的大小？答案：比較兩個負分?jǐn)?shù)大小，先比較它們絕對值的大小，絕對值大的反而小。例如\(-\frac{3}{5}\)和\(-\frac{2}{5}\)，\(\vert-\frac{3}{5}\vert=\frac{3}{5}\)，\(\vert-\frac{2}{5}\vert=\frac{2}{5}\)，\(\frac{3}{5}>\frac{2}{5}\)，所以\(-\frac{3}{5}<-\frac{2}{5}\)。2.比較\(-\frac{3}{7}\)與\(-\frac{4}{9}\)大小的步驟。答案：先求絕對值，\(\vert-\frac{3}{7}\vert=\frac{3}{7}=\frac{27}{63}\)，\(\vert-\frac{4}{9}\vert=\frac{4}{9}=\frac{28}{63}\)，因為\(\frac{27}{63}<\frac{28}{63}\)，根據(jù)規(guī)則，所以\(-\frac{3}{7}>-\frac{4}{9}\)。3.比\(-\frac{5}{9}\)小且比\(-\frac{7}{9}\)大的負分?jǐn)?shù)有哪些？答案：有\(zhòng)(-\frac{6}{9}\)，且還有無數(shù)個，如\(-\frac{11}{18}\)等。將\(-\frac{5}{9}\)和\(-\frac{7}{9}\)通分后，它們之間有很多負分?jǐn)?shù)。4.寫出一個大于\(-\frac{2}{3}\)且小于\(-\frac{1}{3}\)的負分?jǐn)?shù)。答案：\(-\frac{1}{2}\)。把\(-\frac{2}{3}\)、\(-\frac{1}{2}\)、\(-\frac{1}{3}\)通分，\(-\frac{2}{3}=-\frac{4}{6}\)，\(-\frac{1}{2}=-\frac{3}{6}\)，\(-\frac{1}{3}=-\frac{2}{6}\)，滿足\(-\frac{4}{6}<-\frac{3}{6}<-\frac{2}{6}\)。討論題（每題5分，共4題）1.討論負分?jǐn)?shù)比大小在生活中的實際應(yīng)用。答案：在生活中，比如比較不同的虧損率，若兩家公司虧損率分別是\(-\frac{1}{5}\)和\(-\frac{1}{4}\)，虧損率是負分?jǐn)?shù)，\(-\frac{1}{5}>-\frac{1}{4}\)，說明前者虧損情況相對較好。又如比較溫度下降幅度等也會用到。2.探討如何快速判斷多個負分?jǐn)?shù)的大小順序。答案：先看分母，若分母相同，分子大的負分?jǐn)?shù)??；若分母不同，先通分使分母相同再比較。也可借助數(shù)軸，離原點越近的負分?jǐn)?shù)越大，這樣能快速判斷多個負分?jǐn)?shù)大小順序。3.說一說負分?jǐn)?shù)比大小與正分?jǐn)?shù)比大小的區(qū)別與聯(lián)系。答案：聯(lián)系是都要比較數(shù)值大小。區(qū)別在于正分?jǐn)?shù)是數(shù)值大的就大，而負分?jǐn)?shù)是絕對值大的反而小。比如正分?jǐn)?shù)\(\frac{3}{4}>\frac{1}{4}\)，負分?jǐn)?shù)\(-\frac{3}{4}<-\frac{1}{4}\)