配套习题- 如何解决图形旋转中的线段长度问题 -【青果学院】

1/5单选题

难度：

1.

已知，如图边长为3的正方形ABCD绕点C按顺时针方向旋转30°后得到正方形EFCG，EF交AD于点H，

那么DH的长为（　　）

青果学院

A
B
C
D

正确答案：QQ==

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

2/5单选题

难度：

2.

如图，△ABC以点O为旋转中心，旋转180°后得到△A′B′C′. ED是△ABC的中位线，经旋转后为线段E′D′. 已知BC=4，则E′D′=（　　）

青果学院

A	2
B	3
C	4
D	1.5

正确答案：QQ==

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

3/5单选题

难度：

3.

如图所示，P是正三角形ABC内一点，且PA=6，PB=8，PC=10. 若将△PAC绕点A逆时针旋转后，得到△P′AB，则点P与点P′之间的距离为（　　）

青果学院

A	4
B	8
C	10
D	6

正确答案：RA==

PGRpdj7op6PvvJrov57mjqVQUOKAsu+8jOeUseaXi+i9rOeahOaAp+i0qOWPr+efpe+8jFDigLJBPVBBPTbvvIziiKBCQVAnPeKIoENBUO+8jDxicj7iiLXiiKBCQVA94oigQkFQ77yMPGJyPuaVheWPr+W+l++8muKIoFDigLJBUD3iiKBCQUM9NjDCsO+8jDxicj7iiLTilrNQ4oCyQVDkuLrnrYnovrnkuInop5LlvaLvvIw8YnI+4oi0UOKAslA9UEE9Ni48L2Rpdj4=

4/5单选题

难度：

4.

P为正方形ABCD内的一点，并且PA=a，PB=2a，PC=3a，则正方形的边长为（）

青果学院

A	2
B	3
C
D

正确答案：Qw==

PGRpdj7op6PvvJrmiorilrNBQlDpobrml7bpkojml4vovaw5MMKw5b6X5Yiw4pazQkVD77yMPGJyPuKItOKWs0FQQuKJjOKWs0NFQu+8jDxicj7iiLRCRT1QQj0yYe+8jDxicj7iiLQ8aW1nIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMjMvNjAvckJBQ0UxTU1XMGJ6enozM0FBQURQaWxXajlBNTE2LnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8yMy82MC9yQkFDRTFNTVcwYnp6ejMzQUFBRFBpbFdqOUE1MTYucG5nIiBoZWlnaHQ9IjQyIiB3aWR0aD0iMTgzIj7vvIw8YnI+5Zyo4pazUEVD5Lit77yMUEM8c3VwPjI8L3N1cD49UEU8c3VwPjI8L3N1cD4rQ0U8c3VwPjI8L3N1cD49OWE8c3VwPjI8L3N1cD7vvIw8YnI+4oi04pazUEVD5piv55u06KeS5LiJ6KeS5b2i77yMPGJyPuKItOKIoFBFQz05MMKw77yMPGJyPuKItOKIoEJFQz00NcKwKzkwwrA9MTM1wrDvvIw8YnI+6L+H54K5Q+S9nENG4oqlQkXkuo7ngrlG77yMPGJyPuWImeKWs0NFRuaYr+etieiFsOebtOinkuS4ieinkuW9ou+8jDxicj7iiLQ8aW1nIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMDAvNzEvckJBQ0ZGTU1XMGJCOWNtaEFBQURLU29WR3djNzQyLnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8wMC83MS9yQkFDRkZNTVcwYkI5Y21oQUFBREtTb1ZHd2M3NDIucG5nIiBoZWlnaHQ9IjQyIiB3aWR0aD0iMTYxIj7vvIw8YnI+5ZyoUnTilrNCRkPkuK3vvIw8aW1nIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMjMvNjAvckJBQ0UxTU1XMGZBRnFUdUFBQUdTZ3UwQU4wMzQ2LnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8yMy82MC9yQkFDRTFNTVcwZkFGcVR1QUFBR1NndTBBTjAzNDYucG5nIiBoZWlnaHQ9IjQyIiB3aWR0aD0iNDA1Ij48YnI+5Y2z5q2j5pa55b2i55qE6L656ZW/5Li6PGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzIzLzVGL3JCQUNFMU1NVzBieFBKdzNBQUFDWWkxdjExYzE0NS5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMjMvNUYvckJBQ0UxTU1XMGJ4UEp3M0FBQUNZaTF2MTFjMTQ1LnBuZyIgaGVpZ2h0PSI0MiIgd2lkdGg9Ijc3Ij48YnI+PGJyPjwvZGl2PjxkaXY+PGJyPjwvZGl2Pg==

5/5单选题

难度：

5.

在正方形ABCD内有一点P，且. 则正方形ABCD的边长为（）

A
B
C
D

正确答案：Qw==

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