用英语写的~A,B,C,D,and E are all distinct points that lie in the same plane.If ABCD and ACBD,which of the following is a set of points all of which could lie on the same line?(A) {A,B,C,E}(B) {B,C,D,E}(C) {C,D,E}(D) {A,C,D}(E) {A,B,D}写下答
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/24 11:10:33
![用英语写的~A,B,C,D,and E are all distinct points that lie in the same plane.If ABCD and ACBD,which of the following is a set of points all of which could lie on the same line?(A) {A,B,C,E}(B) {B,C,D,E}(C) {C,D,E}(D) {A,C,D}(E) {A,B,D}写下答](/uploads/image/z/10300873-49-3.jpg?t=%E7%94%A8%E8%8B%B1%E8%AF%AD%E5%86%99%E7%9A%84%7EA%2CB%2CC%2CD%2Cand+E+are+all+distinct+points+that+lie+in+the+same+plane.If+ABCD+and+ACBD%2Cwhich+of+the+following+is+a+set+of+points+all+of+which+could+lie+on+the+same+line%3F%28A%29+%7BA%2CB%2CC%2CE%7D%28B%29+%7BB%2CC%2CD%2CE%7D%28C%29+%7BC%2CD%2CE%7D%28D%29+%7BA%2CC%2CD%7D%28E%29+%7BA%2CB%2CD%7D%E5%86%99%E4%B8%8B%E7%AD%94)
用英语写的~A,B,C,D,and E are all distinct points that lie in the same plane.If ABCD and ACBD,which of the following is a set of points all of which could lie on the same line?(A) {A,B,C,E}(B) {B,C,D,E}(C) {C,D,E}(D) {A,C,D}(E) {A,B,D}写下答
用英语写的~
A,B,C,D,and E are all distinct points that lie in the same plane.If ABCD and ACBD,which of the following is a set of points all of which could lie on the same line?
(A) {A,B,C,E}
(B) {B,C,D,E}
(C) {C,D,E}
(D) {A,C,D}
(E) {A,B,D}
写下答案的同时简略的说下过程好吗
是AB平行CD AC平行BD
用英语写的~A,B,C,D,and E are all distinct points that lie in the same plane.If ABCD and ACBD,which of the following is a set of points all of which could lie on the same line?(A) {A,B,C,E}(B) {B,C,D,E}(C) {C,D,E}(D) {A,C,D}(E) {A,B,D}写下答
(C)
原题意思:A,B,C,D,E是在同一平面上的不同的点.如果AB平行CD,AC平行BD,则下列哪个选项中的点都在一条直线上?
AB平行CD,这说明AB所在直线和CD所在直线永远不会在一条直线上的(因为同一平面内两条平行的直线永不相交,这是书里的定理).
同样的理由,AC平行BD,也说明AC所在直线和BD所在直线永远不会在一条直线上的.
综上,你也可以画一下图,说明ABC必不在一条线上,BCD必不在一条线上,ACD必不在一条线上,ABD必不在一条线上.排除了选项A,B,D,E.
而E并没有什么限制,它可以在平面上任意一点.
所以选C
简单
题中问的是可能在同一条线上的点,排除掉不可能的就行了
由题可知
A________B
\ \
C\_______\D
所以ABCD中取3个点不可能在一条线上
答案中只有C不是ABCD中取3个点,所以答案选C。
额... 题目好像有点问题