名校
解题方法
1 . 在
中,角
的对边分别为
,
,
,且
,则
的形状为_________ 三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323b8b64ccdb829eaefa2180796012eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2 . 已知
.
(1)若
,求
;
(2)若
互斥,求
;
(3)若
相互独立,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e5c94d92ea7cefd91905c9ae6147f6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16555b699d84c28e8e2dcd66e382cc9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16555b699d84c28e8e2dcd66e382cc9.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16555b699d84c28e8e2dcd66e382cc9.png)
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解题方法
3 . 从3,4,5,6四个数中任取两个数,则两个数之差为2的概率是______ .
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解题方法
4 . 如图,在正方体
中,
,
分别为
,
的中点,则异面直线
与
所成角的大小为( )
![](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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 已知
为虚数单位,
,复数
的共轭复数为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d971e248bd035650f7fc77adaea2ba1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcfebd9f5a57036e6df6b6e14865da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa63536f51438bae1a5c3d6d2bd2d01.png)
A.0 | B.1 | C.2 | D.![]() |
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解题方法
6 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80882fc4814e81ffa8b8b8c8f4bdc3df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 如图,在棱长是2的正方体
中,
为
的中点.
与
所成角的余弦值;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15dc61d5de97b5a40be925b278ae494c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2331bccb6ebf5b9fd639df994f575a9.png)
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8 . 不等式
解集为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cf022cbdb2c01cb6a492cf32aba9916.png)
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9 . 从三棱柱
的所有棱中选出两条,若这两条棱所在的直线是异面直线,则不同的选法总数是________ (结果用数字表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
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10 . 2021年5月,“双减”政策出台,教培时代落幕,新东方捐出八万套桌椅,受到广大网民的好评.现有600套相同的桌椅要捐赠给某地的3所乡村小学,每所学校都能获赠且获赠的桌椅套数都是100的整数倍,则不同的捐赠方案种数是( )
A.10 | B.15 | C.24 | D.36 |
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