名校
解题方法
1 .
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51742eeb6e7e94b9061503dc67e00c7c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知向量
满足
,若
与
的夹角为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b9656216369e6cb6f74b9237ad6347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338189ec20d1ec7fdbbc189d209428dd.png)
A.1 | B.![]() | C.![]() | D.![]() |
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3 . 化简
值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428370b1b4cd1916722f8b6ca86c042e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 平行四边形ABCD中,
,求:
(1)
的值;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c03ffc540ce28b441934b77675690f14.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a47b376264d525c790ebad49a849c08.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5cb63aeea0b37799404c8fec092b21d.png)
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5 . 已知
、
是平面内所有向量的一组基底,则下列四组向量中不能作为基底的一组是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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6 . 已知
为虚数单位,则复数
的模为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79e5ffe1222eebfbba63cf686f97ee44.png)
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7 . 如图,在正方体
中,若
为棱
的中点,
与平面
是否相交.如果相交,在图1作出这两个平面的交线,并说明理由;
(2)如图2,求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98fcaa21173e78d407bfa4170849e2eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)如图2,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d2a971f1ebba93b20649a2233a0e89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
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8 . 在
中,
,
,
是以
为直径的圆上任意一点,则
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c65edad25ddd666cdce0d7e5afefc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/526908dfb46cf151b8ab1492a9d52047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fb7e47e7affbcc9949d6e82ed3481c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a302ee9825909922d7c0fa859e8735c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04299442116ccee57ae2e5411c9fcdac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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10 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e46d0336ea9893b942b928a9ee57a1c.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b90cb3ca8d27ff46a98e32867e8c86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e46d0336ea9893b942b928a9ee57a1c.png)
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