解题方法
1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1857a9c5edb2cd23cca24bfbcb9fdb8c.png)
(1)求
的极值;
(2)请填好下表(在答卷),并画出
的图象(不必写出作图步骤);
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/10/cdbb894d-94ab-4f91-8b46-0a23db151947.png?resizew=316)
(3)设函数
的图象与
轴有两个交点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1857a9c5edb2cd23cca24bfbcb9fdb8c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1857a9c5edb2cd23cca24bfbcb9fdb8c.png)
(2)请填好下表(在答卷),并画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1857a9c5edb2cd23cca24bfbcb9fdb8c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/10/cdbb894d-94ab-4f91-8b46-0a23db151947.png?resizew=316)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11fb33a6e087bbed604f981a700e90b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 侏罗纪蜘蛛网是一种非常有规律的蜘蛛网,它是由无数个正方形环绕而成.如图正方形
的边长为1,取其四边的三等分点
,
,
,
,作第二个正方形为
,然后再取正方形
各边的三等分点
,
,
,
,作第三个正方形
,依次方法持续下去…,则第7个正方形的周长是______ ,如果这个作图过程可以一直继续下去,则所有这些正方形的周长之和将趋于______ .(填数值)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c296e45b84cf67a98939aa7334e7d478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bf350a619ef25d8d9b988f3db804e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bf350a619ef25d8d9b988f3db804e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2857fac4963b129d99e79dcb3e13d295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8ce8c07e34224e2d25130ed27c9a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c266cba73c7b8ad86e52aa34892e2239.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/22/1dc89f40-0ee9-4fe5-951d-e3705e0eafc5.png?resizew=191)
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3 . 对于三元基本不等式请猜想:设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec197b8ab457cfee3d4733f3d7f8d6f3.png)
_________ ,当且仅当
时,等号成立(把横线补全).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec197b8ab457cfee3d4733f3d7f8d6f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44acc0ee22dc4b7750e8be825e7c1355.png)
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名校
解题方法
4 . 若虚数
满足
的实部与虚部互为相反数且___________,求复数
.在下列条件中任选一个填在横线上补全条件,并求解问题.①
是实数;②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95146f921154bd1fdcf411ccd8641576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52bb0bfb7b8824ab33920e350082fcf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cba5b3bb49817e8c8073064b4ed744c.png)
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10-11高二下·海南·期末
5 . 求由三条曲线
所围成的封闭图形的面积.(请作图)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ae0b6552b3b8d7cc62c22d98fc33f9a.png)
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名校
6 . 关于函数
有下列结论:
(1)函数
存在最小值但没有最大值;
(2)函数
存在两个零点,且两个零点的和小于1;
(3)函数
存在唯一的极小值点
,且
;
(4)函数
存在唯一的极大值点
,且
.
其中正确的是__________ .(填写所有正确结论的编号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2db29e99cb06dfd0d9dbdd3a0d387fd.png)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caae75ee744fa4662f1dc8fbe3995789.png)
(4)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f803d4aab3143f9e43d7a024aab305e9.png)
其中正确的是
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名校
解题方法
7 . 有两个条件:(1)函数
的图象过点
,且函数
在区间
上是减函数,在区间
上是增函数.(2)
在
时取得极大值
.这两个条件中,请选择一个合适的条件将下面的题目补充完整(只要填写序号),并解答本题.题目:已知函数
存在极值,并且______.
(1)求
的解析式;
(2)当
时,求函数
的最值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee298f993d72e46a490625abed8b2779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc0248a1c8911762d1387b5891c9ab3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b80b1717ac2392b95e0bce27ad8b0f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998485ffeb46a0412ff1a0f814429257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解题方法
8 . 某学习小组研究函数
的性质时,得出了如下的结论:
①函数
图象关于
轴对称;
②函数
图象关于点
中心对称;
③函数
在
上单调递减;
④函数
在
上有最大值
.
其中正确的结论是_____________ (填写所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce99be2e5b11ec124939b2762497963a.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9da30f3b77f2318f2000fa009979f04c.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8b4bbd2f9912adfc9864c0e1e76a9d.png)
其中正确的结论是
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2023高三·全国·专题练习
名校
9 . 设函数
.
①
的最小正周期为
;
②
的最大值为
;
③
在区间
上单调递减;
④
,都有
成立;
⑤
的一个对称中心为
.
其中真命题有__ (请填写真命题的编号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46dd437be27a25573f6b3022e71c940b.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1757e619302565f3805a658f48fa48ed.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6422b9c2e93a91fe9e39ce4d9dabb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4b3a8871db62a8344b5fb30cadfaac.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/485db61a2755dc46e42f0554649d7a3f.png)
其中真命题有
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10 . 设
,则满足
在
上恒正的
是__________ .(填写序号)
①
;②
;③
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c765461ae1a6c70f5cbdcb6c932a22b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22add663bd26e87d972a10dc5fd9ada1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d89a66279f77b21261b88012a6ac7818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdfb6c182e6983236c9b3af89111dd17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934577743726d3fb09c2dea88430b991.png)
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2023-03-06更新
|
603次组卷
|
5卷引用:甘肃省武威市凉州区2022-2023学年高二下学期期中考试数学试题
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