1 . 如图,点P是双曲线C:
上的一点,过点P作x轴的垂线交直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a0f7f86f7cf789ea97eab5b0f08bed1.png)
于点Q,连接
.当点P在曲线C上运动,且点P在Q的上方时,
面积的最大值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/16/d9e02e66-b99d-431b-9eab-959ea82344c4.png?resizew=200)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4115c4fbc17d33752e8273a168d4689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a0f7f86f7cf789ea97eab5b0f08bed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24edd2a1d145627d07330524017daf5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/139c0ae68e597571ba72ef727fa9222c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fdc02f00cf00a6dfd88b53a90f1f7a4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/16/d9e02e66-b99d-431b-9eab-959ea82344c4.png?resizew=200)
A.2 | B.3 | C.![]() | D.![]() |
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2 . 已知ΔABC各顶点坐标为
,若反比例函数
的图象与
有交点,则k的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ea3221f102c89afa007aff6e28bcd7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45bd7e92dae1e0c2af6c33d5e202f544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.5 | B.![]() | C.4 | D.![]() |
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3 . 如图所示的是反比例函数
和一次函数
的图象,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d9fd892406bd7994f67805e1fe6d7b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebe47e01d46d427917ef49b8b4547790.png)
A.反比例函数的解析式是![]() | B.一次函数的解析式为![]() |
C.当![]() ![]() | D.若![]() ![]() |
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2023-03-13更新
|
1259次组卷
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10卷引用:2023年浙江省宁波市鄞实、曙光等六校九年级强基竞赛联考数学试题
2023年浙江省宁波市鄞实、曙光等六校九年级强基竞赛联考数学试题(已下线)2023年天津市和平区九年级下学期中考一模数学试卷变式题6-10题(已下线)2023年浙江省宁波市南三中考二模数学试题变式题6-10题山东省济南市高新区2023-2024学年九年级上学期期中考试数学试题河南省信阳市平桥区2023-2024学年九年级上学期期末数学试题广东省揭阳市惠来县2023-2024九年级上学期期末数学试题2023年北京市石景山区中杉学校中考一模数学试题2024年山东省菏泽市郓城县一模数学模拟试题2024年四川省德阳市旌阳区中考二模考试数学试题数学(安徽卷)-【试题猜想】2024年中考考前最后一卷
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4 . 如图,已知
位于第一象限,点A,B,C的坐标分别为
,
,
.若双曲线
与
有交点,则k的最大值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/14/adc3fd8d-4688-457b-825c-9b8719565be0.png?resizew=110)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad20e2bc6576fc461419f8f138d26e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4559e8b5861ebbf7c0f5c6d9a819f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45bd7e92dae1e0c2af6c33d5e202f544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/14/adc3fd8d-4688-457b-825c-9b8719565be0.png?resizew=110)
A.1 | B.2 | C.5 | D.![]() |
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2022-12-11更新
|
90次组卷
|
3卷引用:河北省邯郸市大名县第一中学2022-2023学年九年级上学期第三次月考数学试题
5 . 如图,
位于第一象限,
,直角顶点A在直线
上,其中点A的横坐标为1,且两条直角边AB、AC分别平行于x轴、y轴,若函数
的图象与
有交点,则k的最大值是( )
![](https://img.xkw.com/dksih/QBM/2022/5/17/2981436554166272/2986174076821504/STEM/2047d998-161d-4634-9034-d039dafae82a.jpg?resizew=160)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a4c872c396796e193aa5f403ffb292.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d49d34012ddf68fb981eb4975ac99b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/2022/5/17/2981436554166272/2986174076821504/STEM/2047d998-161d-4634-9034-d039dafae82a.jpg?resizew=160)
A.5 | B.4 | C.3 | D.2 |
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6 . 如图,在平面直角坐标系中,直线
与双曲线
交于A、B两点,P是以点
为圆心,半径长为1的圆上一动点,连接AP,M为AP的中点.则线段OM长度最大值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/99d290b5-3390-4b33-826a-0c26602a3eed.png?resizew=223)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd004d02440f3189d49aeb049b595f51.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/99d290b5-3390-4b33-826a-0c26602a3eed.png?resizew=223)
A.2 | B.1 | C.![]() | D.![]() |
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7 . 如图,有规律的“心电”图形由图形
不断向右重复组成,图形
分为两条曲线和两条线段,曲线
是二次函数
图象的一部分,该二次函数顶点是
,与
轴交于点
;曲线
是反比例函数图象的一部分;线段
是直线
的一部分;线段
是直线
的一部分.若点
、
是“心电”图形上的两点,则
的最大值是( )
![](https://img.xkw.com/dksih/QBM/2022/2/28/2926303321300992/2928922267557888/STEM/656c3242-c277-43ee-bb5c-0046e337ef06.png?resizew=268)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6488529784581193b6a1b3e7ef24ad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/9e6e15daf7b14dbff32c390f4984dcfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e75d14708e6aa1404477db9d7e3166f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13653a89d3a38346e1ddf4fd1602f85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82aaa597a5aa6176863eda3fdf83e181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb73d7856d781a55b06ff58760f681e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c977e5f46b4bfb63779c047b149d18.png)
![](https://img.xkw.com/dksih/QBM/2022/2/28/2926303321300992/2928922267557888/STEM/656c3242-c277-43ee-bb5c-0046e337ef06.png?resizew=268)
A.10 | B.8 | C.6 | D.5 |
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8 . 如图,已知反比例函数
与一次函数
的图象交于
、
两点,
为
轴上一动点,连接
、
,当
取得最小值时,
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef854dfcbba9b7dedc1bc52f6332b011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae652daf6059ff386f99bef2210518c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a13ec9a812274ad0839f20ba17348687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/15/2c8056a6-82ff-4dbb-9f9a-37519c54b684.png?resizew=212)
A.1 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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9 . 定义一种新运算:
,下列说法:
①若
,则
;
②若
,则
的解集为
;
③代数式
取得最小值时,
;
④函数
的图象与直线
(
为常数)有且仅有两个交点,则
.
其中正确的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb6ed583bf6abea838119e40e8893eb.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b1fc7dad53f7f3f8d82cd87ae117f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0471deae2956862a92b230e493f26419.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23fc6799211290db783fad7bc902bff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a25a872af29b669a44e5f333151fa9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9a0b50293a664e2f427efde644ddbb.png)
③代数式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c27eb9fb3f7469b07091028736f6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d599059e6b2c918ab15ee22611b6962.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cccd7e3b8b31a2b4b21d849001525fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/738988569cb00134bb07064231367ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b369eb031bad872b0d3a9cf746119f4c.png)
其中正确的个数是( )
A.1 | B.2 | C.3 | D.4 |
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22-23九年级下·全国·单元测试
名校
10 . 如图,一次函数
与反比例函数
的图象交于A,B两点,点P在以
为圆心,1为半径的
上,Q是
的中点,已知
长的最小值为
,则k的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/28290c60-d47b-4aff-8184-6f2e88e0ad99.png?resizew=294)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d563e1fcd5af55a3d5aa96f1eb54fa25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0009063fe00277645aff1be6e32471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/28290c60-d47b-4aff-8184-6f2e88e0ad99.png?resizew=294)
A.![]() | B.![]() | C.![]() | D.![]() |
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