解题方法
1 . 已知向量
满足
,
与
的夹角为
,则当实数
变化时,
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fa8ea29001bb1f0c1e5157aff2fca5.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/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46fdd453a7bf9249f37924848b85727d.png)
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解题方法
2 . 黎曼函数在高等数学中有着广泛应用,其一种定义为:
时,
.若数列
,给出下列四个结论:
①
;②
;③
;④
.
其中所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d84c5adeb3bce246ebbe10df3ee61d9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc88b02725328ae41fe092e97faa4f17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f91f7bd076f2ecacad661d6b1fa757d8.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b648c181bcdc3d2615ce69dfdaba838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83663f4a20233b26c480d958493019f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77e3ae2fff85e9747c05cf5f80dc13f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ca2e011c96cd91c54ae9022b87e9317.png)
其中所有正确结论的序号是
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名校
3 . 设函数
,
①若
有两个零点,则实数
的一个取值可以是______ ;
②若
是
上的增函数,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c87a9d6ceb62c7c17b2ce2b0f039199.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-03-28更新
|
815次组卷
|
3卷引用:北京市石景山区2024届高三下学期3月统一练习数学试卷
4 . 如图,在正四棱柱
中,
为棱
上的一个动点,给出下列四个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/3/4d20d730-2c99-4233-9d32-582e23bf5b1b.png?resizew=119)
①
;
②三棱锥
的体积为定值;
③存在点
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
平面
;
④存在点
,使得
平面
.
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a94b82dd1753348cf763d36f6941155c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/3/4d20d730-2c99-4233-9d32-582e23bf5b1b.png?resizew=119)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad9c3f0236e1f9416d34c12272e8598b.png)
②三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95944bab519692fe8551a7557ab58a09.png)
③存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c1acd7da8817385417e1dff25bfe25.png)
④存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565133e91e3ace2b2187cfc6f1db5be6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c1acd7da8817385417e1dff25bfe25.png)
其中所有正确结论的序号是
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5 . 方程
表示的曲线是__________ ,其标准方程是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266ed8002a339746965afc42d6ba1dec.png)
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解题方法
6 . 函数
的定义域为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9932b65ef88d78b17d5647ce9f594d5.png)
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解题方法
7 . 写出一个值域为
的偶函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
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8 . 已知
,则当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ 时,
取得最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c055a77975f945d0d1f2cf3de04d4b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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解题方法
9 . 已知函数
,
(1)若
,则
的最大值是______ ;
(2)若
存在最大值,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c3dfc91b2785375ab7426d9bfbcb5a5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 直线
与直线
之间的距离为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fc316966a38cfac924cfaeb10813bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5f69a1595ec04a16fad215f1d4e600.png)
您最近一年使用:0次
2024-01-18更新
|
226次组卷
|
4卷引用:北京市石景山区2023-2024学年高二上学期期末考试数学试卷
北京市石景山区2023-2024学年高二上学期期末考试数学试卷上海市扬子中学2023-2024学年高一下学期期中考试数学试题(已下线)专题01 平面直角坐标系中的直线--高二期末考点大串讲(沪教版2020选修)(已下线)专题01平面直角坐标系中的直线全章复习攻略--高二期末考点大串讲(沪教版2020选修)