SAT数学题求讲解Note:Figure not drawn to scaleIn the figure above,if the legs of triangle ABC are parallel to the axes,which of the following could be the lengths of the sides of triangle ABC?A 2 ,5 and 根号29B 2 ,5 and 7C 3 ,3 and 3根号2D 3

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 05:23:45
SAT数学题求讲解Note:Figure not drawn to scaleIn the figure above,if the legs of triangle ABC are parallel to the axes,which of the following could be the lengths of the sides of triangle ABC?A 2 ,5 and 根号29B 2 ,5 and 7C 3 ,3 and 3根号2D 3

SAT数学题求讲解Note:Figure not drawn to scaleIn the figure above,if the legs of triangle ABC are parallel to the axes,which of the following could be the lengths of the sides of triangle ABC?A 2 ,5 and 根号29B 2 ,5 and 7C 3 ,3 and 3根号2D 3
SAT数学题求讲解

Note:Figure not drawn to scale

In the figure above,if the legs of triangle ABC are parallel to the axes,which of the following could be the lengths of the sides of triangle ABC?
A 2 ,5 and 根号29
B 2 ,5 and 7
C 3 ,3 and 3根号2
D 3 ,4 and 5
E 4 ,5 and 根号41
求讲解完整解题思路

SAT数学题求讲解Note:Figure not drawn to scaleIn the figure above,if the legs of triangle ABC are parallel to the axes,which of the following could be the lengths of the sides of triangle ABC?A 2 ,5 and 根号29B 2 ,5 and 7C 3 ,3 and 3根号2D 3
选A,根据点(4,10)的比例关系,排除C.D,E,再根据直角,排除B

选A,根据点(4,10)排除C.D,E,再根据直角28排除B

用排除法算,这题是很简单的,过O点,三角形abc相似于大直角三角形,其中,大直角三角形两直角边分别为4和10,所以三角形abc的两直角边长度与4和10成比例关系,在利用勾股定理算出斜边就行了。

现在已知直角三角形ABC的角A、B、C对边分别记为a、b、c,斜边在经过原点和(4,10)的直线上。
三条边可能的长度是多少。
A、满足勾股定理2*2+5*5=29,满足直线斜率,2/5=4/10,即A可以
B、不满足勾股定理,不可取
C、不满足直线斜率,不可取
D、不满足直线斜率,不可取
E、不满足直接斜率,不可取
所以选A我就是想知道为什...

全部展开

现在已知直角三角形ABC的角A、B、C对边分别记为a、b、c,斜边在经过原点和(4,10)的直线上。
三条边可能的长度是多少。
A、满足勾股定理2*2+5*5=29,满足直线斜率,2/5=4/10,即A可以
B、不满足勾股定理,不可取
C、不满足直线斜率,不可取
D、不满足直线斜率,不可取
E、不满足直接斜率,不可取
所以选A

收起