解题方法
1 . 如图,正方形
中,
是
的中点,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20e5b2690dfc8835f3117d5ccb4a4cda.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 已知函数
.
(1)若
,求
的单调区间;
(2)若
有最小值3,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1962d72e1d8e2fcb5419293fb40d250.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
3 . 如图,在
中,D,F分别是BC,AC的中点,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/23/07e3f3ee-fe8c-498f-8229-f738a3c5b2e7.png?resizew=141)
(1)用
分别表示向量
,
;
(2)求证:B,E,F三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5205b7ddc8166feaba03abc4b14127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc03a3ba496faee748a8d63e5d4fa92.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/23/07e3f3ee-fe8c-498f-8229-f738a3c5b2e7.png?resizew=141)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d021a5c98388463d577675e58068aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7d3a0680780aaf4549c447fe8dfe9f.png)
(2)求证:B,E,F三点共线.
您最近一年使用:0次
2024-04-07更新
|
901次组卷
|
2卷引用:辽宁省抚顺市雷锋高级中学2023-2024学年高一下学期开学质量检测数学试卷
名校
解题方法
4 . 已知向量
,
不共线,若
,
,则下列条件能使A,B,C三点共线的有( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee804be67c732d124e723209e07d471a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e47d0c1a9b39bcdee37e8f0971015ddc.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-03-29更新
|
300次组卷
|
2卷引用:辽宁省抚顺市雷锋高级中学2023-2024学年高一下学期开学质量检测数学试卷
解题方法
5 . 正四面体
的棱长为4,
为棱
的中点,过
作此正四面体的外接球的截面,则截面面积的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
您最近一年使用:0次
解题方法
6 . 函数
的图象关于直线
对称,那么( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
A.![]() | B.![]() |
C.函数![]() | D.函数![]() |
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解题方法
7 . 设函数
,则有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4582ae5941ce5a180a183a15d6d77937.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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8 . 已知函数(
且
),则
等于( )
A.![]() | B.![]() | C.0 | D.4 |
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9 . 以下关于平面向量的说法中,正确的是( )
A.有向线段就是向量 | B.所有单位向量的模都相等 |
C.零向量没有方向 | D.平行向量也叫作共线向量 |
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10 . 如图,在四棱锥
中,底面
是直角梯形,侧棱
底面
,
垂直于
和
,
,
M是棱
的中点.
(1)求证:
平面
;
(2)求平面
与平面
所成的角的余弦值;
(3)设点N是线段
上的动点,
与平面
所成的角为
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d11dd7422f4703763abc23d83c7584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a58780dfcfe13c457f88f6841737185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4db9b82b67efe45a02fca32bfcf5dc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/25/10730a47-1884-4ec1-8647-cd28adea9b72.png?resizew=160)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f33fa5152ba27f7b8a28890cefca219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef796b46e68fe77b117ff0483d2370c.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef796b46e68fe77b117ff0483d2370c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9c9cfa597b444b5c9dbae7a825a695.png)
(3)设点N是线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9c9cfa597b444b5c9dbae7a825a695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7d5ef3a3d9a03be91135fc426d57cc.png)
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