今年高考数学试题(理工农医类)第二大题第七小题:“一个正三棱台的下底和上底的周长分别为30厘米和12厘米,而侧面积等于两底面积之差,求斜高。”依题目条件虽然可以解得斜高h′=√3,但满足该题条件的正三棱台实际是不存在的. This year’s mathematics test of the college entrance examination (secondary science and engineering class) second question seventh question: “The circumference of the lower base and the upper base of a regular triangular platform is 30 cm and 12 cm, respectively, and the lateral area is equal to the difference in the area of ​​the two bases. , Ask for an oblique height.” Although according to the title condition, the oblique height h’ = √ 3 can be solved, but the strict triangular table that satisfies the condition of the question does not actually exist.