1 . 如图,用6个全等的三角形拼成一个内外都是正六边形的图形,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6877ef28e231e69cfbef3907d367743.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e87f9586b708869fd7186e75a75c1dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26e32412868f3dcb5cad62c8a836778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6877ef28e231e69cfbef3907d367743.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/3/50c4a305-2880-4f88-8b44-94158ac18f52.png?resizew=161)
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2 . 若m,n是关于x的方程
的两根,且
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d57932f95fd3c5d395bd249727b805c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 如图,四边形
为平行四边形,反比例函数
的图象经过点A且与线段
交于点D.连结
,若四边形
的面积是四边形
面积的
,则点A的横坐标与点D的横坐标之比为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d439e428bc3bf8778c274dd683f4fde9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/23/99a6e5d8-c053-44b3-a851-b87ce5625b48.png?resizew=146)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知数列
满足
(
且
),则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec805491b68bcd47219f79e69e26b63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
A.![]() ![]() |
B.若数列![]() ![]() |
C.数列![]() ![]() ![]() |
D.当n是奇数时,![]() |
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2023-07-08更新
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1056次组卷
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6卷引用:福建省宁德第一中学2020-2021学年高二上学期开学检测数学试题
福建省宁德第一中学2020-2021学年高二上学期开学检测数学试题广东省汕尾市2022-2023学年高二下学期期末数学试题云南省昆明市第一中学2024届高三新课标第四次一轮复习检测数学试题江西省宜春市铜鼓中学2023届高三上学期第三次阶段性测试数学试题(已下线)专题2 数列的奇偶项问题【讲】(高二期末压轴专项)(已下线)重组3 高二期末真题重组卷(广东卷)B提升卷
5 . 如图①,抛物线
与x轴分别交于点
、
,与y轴交于点C,
.
(1)求抛物线的解析式;
(2)点P是抛物线在第一象限上的一个动点,当四边形
的面积最大时,试求点P的坐标;
(3)如图②,在(2)的条件下,圆心在第一象限且经过O、P两点的动圆
与x、y轴分别交于点M、N,试问:
的值是否会发生变化?如果不变,请求出
的值;如果变化,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311497849126f1aaf1da0ec75602eabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7291b3d921f595f28960abcdce6dfbed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f29fd6469edfca897975cae28eedf1a5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/23/f93a4b47-e212-4432-a613-4653ca21493c.png?resizew=446)
(1)求抛物线的解析式;
(2)点P是抛物线在第一象限上的一个动点,当四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42f7c674f87a67fde99afceb3cfd8189.png)
(3)如图②,在(2)的条件下,圆心在第一象限且经过O、P两点的动圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ae3c0fbf7d162b0293a03c29c027fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ffca492d5f4cc72de4d9d00f95a4d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ffca492d5f4cc72de4d9d00f95a4d0.png)
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6 . 如图,直线
与抛物线
的图象都经过y轴上的D点,抛物线与x轴交于A,B两点,其对称轴为直线
,且
.直线
与x轴交于点C(点C在点B的右侧).则下列判断:①
;②
;③
;④
;⑤
中,正确的是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffe3400ea9733d0a16ffa44dc0fab4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c35c43d90814396ff06336fa45e9650.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffe3400ea9733d0a16ffa44dc0fab4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727b2f9ed96487c6d08bc26e647f76d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ddda0910855d8aceb007c598f6e16fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc4f9d84d62fff4d43ef15dccfb35af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe67a36e04a834d1b216614f06d7d566.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/23/6c0a7228-1aa3-4600-8843-4121bc8cb657.png?resizew=184)
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2023-07-05更新
|
82次组卷
|
2卷引用:广东省佛山市顺德区第一中学2020-2021学年高一上学期新生入学数学试题
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7 . 如图,直线
与坐标轴交于A,C两点,过A,O,C三点作
,点E为劣弧
上一动点(不与A,O两点重合),连结
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1618f254adeb57bcf83bab32b6c792b7.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ecf67f53e3f0b5c54a8233c44d6562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0385df6c7f8ee7ab503b6ed35933695b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1642eec556eb252de9c1ab7bb5ca90b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90c780dac29ff8b7df5881d3b33abab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1618f254adeb57bcf83bab32b6c792b7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/23/1e4e0736-6e91-4f4c-8eb1-a8c99c68de08.png?resizew=159)
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8 . 直线
与x轴、y轴分别交于点A与点B,点C、D分别为
、
的中点,点P为y轴上一动点,当
的值取到最小值时,点P的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c48042e88209a28f891b29768bf3fb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186dee1a1cf68677d143172a2a50709c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-07-05更新
|
88次组卷
|
2卷引用:广东省佛山市顺德区第一中学2020-2021学年高一上学期新生入学数学试题
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9 . 杨辉三角是二项式
展开式中各项系数的一种几何排列.它最早出现在中国南宋数学家杨辉1261年所著的《详解九章算法》一书中.利用杨辉三角,我们很容易知道
.设
,则系数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9216a0f9d6e65ea4937ab7bf102c5db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee85d22b9fd3c1afea0688617132365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c0ab860cecacc610df760ecc46a6c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
A.54 | B.-54 | C.36 | D.-36 |
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10 . 若在平面直角坐标系中,点
为坐标原点,
三点的坐标分别为
,点
在第一象限内,且
.则线段
的长最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42014c932d29096d1d9ce7568fabfc26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b0c6766bd801fa114221d0ab0bfa61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/10/28dcff5c-0067-4561-a181-a9a82f6c1cba.png?resizew=162)
A.5 | B.![]() | C.![]() | D.![]() |
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