配套习题- 空间向量基本定理的应用 -【青果学院】

1/4单选题

难度：

1.

点B是点A（1，2，3）在坐标平面内的射影，则OB等于（）

A
B
C
D

正确答案：QQ==

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

2/4单选题

难度：

2.

下列命题正确的是（）

A	如果向量，与任何向量不能构成空间的基底，那么，不共线
B	如果，，是三个基向量，那么+， +， +，不能构成空间的一个基底
C	若，，不构成空间的一个基底，那么O，A，B，C四点共面
D	空间中的基底只有有限个

正确答案：Qw==

PHA+55Sx56m66Ze05ZCR6YeP5Z+65pys5a6a55CG55+l77yMQ+ato+ehrjwvcD4=

3/4单选题

难度：

3.

若为空间的一组基底，则下列各项中，能构成基底的一组向量是（）

A
B
C
D

正确答案：Qw==

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

4/4单选题

难度：

4.

已知A、B、C三点不共线，对平面ABC外的任一点O，下列条件中能确定点M与点A、B、C一定共面的是（）

A
B
C
D

正确答案：RA==

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