配套习题- 如何利用中点性质求线段长度 -【青果学院】

1/5单选题

难度：

1.

如图，O是AC的中点，M是AB的中点，N是BC的中点，试判断MN与OC的数量关系为（ )

A
B
C
D

正确答案：RA==

PGRpdj7op6PvvJriiLVN5pivQULnmoTkuK3ngrnvvIxO5pivQkPnmoTkuK3ngrnvvIw8YnI+4oi0Qk09PGltZyBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzI0L0MyL3JCQUNFMU1OVWVPQTA5LW1BQUFCS1VKU2NQTTA4NC5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMjQvQzIvckJBQ0UxTU5VZU9BMDktbUFBQUJLVUpTY1BNMDg0LnBuZyIgaGVpZ2h0PSI0MiIgd2lkdGg9IjEwIj5BQu+8jEJOPTxpbWcgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8yNC9DMi9yQkFDRTFNTlVlT0EwOS1tQUFBQktVSlNjUE0wODQucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzI0L0MyL3JCQUNFMU1OVWVPQTA5LW1BQUFCS1VKU2NQTTA4NC5wbmciIGhlaWdodD0iNDIiIHdpZHRoPSIxMCI+QkPvvIw8YnI+4oi0TU49Qk0rQk49PGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzAxL0QyL3JCQUNGRk1OVWVPaWd3eWFBQUFCS1FjREZFTTg1NC5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMDEvRDIvckJBQ0ZGTU5VZU9pZ3d5YUFBQUJLUWNERkVNODU0LnBuZyIgaGVpZ2h0PSI0MiIgd2lkdGg9IjEwIj7vvIhBQitCQ++8iT08aW1nIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMDEvRDIvckJBQ0ZGTU5VZU9RQUZiUEFBQUJLeHVEbEg0Nzc0LnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8wMS9EMi9yQkFDRkZNTlVlT1FBRmJQQUFBQkt4dURsSDQ3NzQucG5nIiBoZWlnaHQ9IjQyIiB3aWR0aD0iMTQiPkFDLjxicj7lj4jiiLVP5pivQUPnmoTkuK3ngrnvvIziiLRPQz08aW1nIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMDEvRDIvckJBQ0ZGTU5VZU9RQUZiUEFBQUJLeHVEbEg0Nzc0LnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8wMS9EMi9yQkFDRkZNTlVlT1FBRmJQQUFBQkt4dURsSDQ3NzQucG5nIiBoZWlnaHQ9IjQyIiB3aWR0aD0iMTQiPkFD77yMPGJyPuKItE1OPU9D77yMPC9kaXY+PGRpdj48YnI+5Y2zTU7kuI5PQ+eahOWkp+Wwj+WFs+ezu+aYr01OPU9DLjwvZGl2Pg==

2/5单选题

难度：

2.

如图，点A、B、C顺次在直线L上，点M是线段AC的中点，点N是线段BC的中点. 若想求出MN的长度，那么只需条件（　　)

A	AB=12
B	BC=4
C	AM=5
D	CN=2

正确答案：QQ==

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

3/5单选题

难度：

3.

如图，已知是线段上的一点，是线段的中点，是线段的中点，为的中点，为的中点，则为（ )

A
B
C
D	以上答案都不对

正确答案：Qw==

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

4/5单选题

难度：

4.

如图所示，B，C是线段AD上任意两点，M是AB的中点，N是CD的中点，若BC=a，MN=b，则AD的长度是（　　）

A	b-a
B	a+b
C	2b-a
D	以上都不对

正确答案：Qw==

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

5/5单选题

难度：

5.

已知B,C是线段AD上的两点，E是AB的中点，F是CD的中点，AD=18，BC=5，则EF的长度为（）.

A	12.5
B	11.5
C	5.5
D	7.5

正确答案：Qg==

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