题目内容
如图,在四棱柱A′B′C′D′-ABCD中,求证:
+
+
=
.
| AB |
| BC |
| CA′ |
| DD′ |
如图所示,
∵
| AB |
| BC |
| AC |
| AC |
| CA′ |
| AA′ |
∴
| AB |
| BC |
| CA′ |
| AC |
| CA′ |
| AA′ |
∵在四棱柱A′B′C′D′-ABCD中,所有侧棱平行且相等
∴向量
| AA′ |
| DD′ |
由此可得
| AB |
| BC |
| CA′ |
| DD′ |
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题目内容
| AB |
| BC |
| CA′ |
| DD′ |
| AB |
| BC |
| AC |
| AC |
| CA′ |
| AA′ |
| AB |
| BC |
| CA′ |
| AC |
| CA′ |
| AA′ |
| AA′ |
| DD′ |
| AB |
| BC |
| CA′ |
| DD′ |