Question

10．大于$\frac{1}{6}$而小于$\frac{1}{3}$的分?jǐn)?shù)只有$\frac{1}{5}$和$\frac{1}{4}$這兩個(gè)分?jǐn)?shù)．×（判斷對(duì)錯(cuò)）

Answer 1

分析 根據(jù)分?jǐn)?shù)的基本性質(zhì)把$\frac{1}{6}$、$\frac{1}{3}$的分子、分母都乘2就是$\frac{2}{12}$、$\frac{2}{6}$，大于$\frac{2}{12}$而小于$\frac{2}{6}$的分?jǐn)?shù)有$\frac{2}{11}$、$\frac{2}{10}$、$\frac{2}{9}$、$\frac{2}{8}$、$\frac{2}{7}$，隨著這兩個(gè)分?jǐn)?shù)分子、分母乘的數(shù)不同，這兩個(gè)分?jǐn)?shù)之間的分?jǐn)?shù)也會(huì)增加，有無(wú)數(shù)個(gè)．

解答 解：大于$\frac{1}{6}$而小于$\frac{1}{3}$的分?jǐn)?shù)不止有$\frac{1}{5}$和$\frac{1}{4}$這兩個(gè)分?jǐn)?shù)，有無(wú)數(shù)個(gè)．
故答案為：×．

點(diǎn)評(píng) 大于$\frac{1}{6}$而小于$\frac{1}{3}$的分子是1的分?jǐn)?shù)只有$\frac{1}{5}$和$\frac{1}{4}$這兩個(gè)分?jǐn)?shù)，沒(méi)有“分子是1”這個(gè)條件，會(huì)有無(wú)數(shù)個(gè)．