1 . 沿着正四面体
的三条棱
的方向分别有大小等于
的三个力
,则此三个力的合力
的大小为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ccb1046c3bcef868a3b25a2068a7c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d2ebae98971cf0736c32698406679eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f9b9c5675b1341420e210613829528f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3b81b741fc5c4f680299b5724502e5.png)
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2 . 设复数
,则复数
的虚部为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e754e41d33d46b704e9d5ee1082fdd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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3 . 已知
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfaa7e5645dd92f160aa34f10dd27970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/617e59c1afb7dc761f5b373bc820ecff.png)
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4 . 在
中,
,
,
,则
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55493e331f88d3d1c396e92b46c97ecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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5 . 已知向量
,
是单位向量,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c4799a22ba4fa6d1f26aec7a82ccb7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f60453488ea71a6b6bd24e7db81be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061e6185a58dfc9d617e50cd0d9008e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c4799a22ba4fa6d1f26aec7a82ccb7.png)
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6 . 如图,四棱柱
的底面为平行四边形,
为
与
的交点,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dfb9769a14ebf5cbc5fa0c06ce96435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d1b000652db5cf562b3e0711f6a6b7a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 设
,向量
,
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf039c46a25e331446c6ee1e9af3c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ef4988b025cdf296ea81d7ef05f404.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076b026b9399bc0cdbb8a7e605053100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
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8 . 已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8640aafe54018ba013295b68e2946a7a.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5826c3a1032335d5617b2825fb955e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a24b53f8f3ec4cc40ad5cb44d89070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8640aafe54018ba013295b68e2946a7a.png)
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9 . 函数
,
的单调增区间为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8504c2867fcae1a715f5c27d4f8ce25a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
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10 . 若
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e304cf018473bb54edb166fcd6502b.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a135466eb8ca64d002d0fad36176d1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3ba327948af4f856729cacbbfea21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e304cf018473bb54edb166fcd6502b.png)
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