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1 . 因式分解:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6e035bc5338f46c20a50eaf49e5d2a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6e035bc5338f46c20a50eaf49e5d2a.png)
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2 . 对于二次函数
,若存在
,使得
成立,则称
为二次函数
的不动点.
(1)求二次函数
的不动点;
(2)若二次函数
有两个不相等的不动点
,且
;
①求实数
的取值范围;
②求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad1092e04eae4ed92df461c0ff37adf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070054c0b4182ab7399ed56925844e93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c161d512f99df7d4d3cb4b5815153d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad1092e04eae4ed92df461c0ff37adf.png)
(1)求二次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e87b909f2729e677e7755535317296.png)
(2)若二次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232d6e9ecfe92db1e5f2e45a9700fbac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eebe4341621d4532a17b1324e016b36.png)
①求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f173a14c324da38688a08d8807fc67a9.png)
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3 . 如图,直线
∥
,直线
分别交
,
于点
,
,
的平分线
交
于点
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e470b9b1ab6b8db7d19dc1e48ad6f09b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/317068b7feee03bb7c8c33bf9da81fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b09d8841cf886e752f7e1adcce8ff65.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/26/637ac529-7bfa-477b-bac2-2599f1f38f6e.png?resizew=191)
A.70° | B.110° | C.120° | D.140° |
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4 . 已知一个正多边形的边心距与边长之比为
,则这个正多边形的边数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
A.4 | B.5 | C.6 | D.7 |
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5 . 如图,平行四边形
的面积为
,
,
与
交于点
,分别过点
,
作
,
的平行线相交于点
,点
是
的中点,点
是四边形
边上的动点,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aabdde5c06a238f7623344f13755fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d000a9d441370a43debf5845f5f41142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4505508b3e36db64a207dcdaf8eb22dc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/26/a95ed296-e52d-4217-804b-5fc72f46b7f1.png?resizew=177)
A.1 | B.![]() | C.![]() | D.3 |
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6 . 观察下列关于自然数的等式:
(1)
①
(2)
②
(3)
③
根据上述规律,写出你猜想的第
个等式(用含
的式子表示):______ .
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/676ea1b90c909d2cce4624bc05d991d5.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b093206b2c520d106b178b4fdcd0db13.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/397afc86d7b0034c4d040c5ffad35969.png)
根据上述规律,写出你猜想的第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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7 . 李叔叔批发甲、乙两种蔬菜到菜市场去卖,已知甲、乙两种蔬菜的批发价和零售价如下表所示:
(1)若他批发甲、乙两种蔬菜共
花180元,求批发甲、乙两种蔬菜各多少千克?(列方程或方程组求解)
(2)若他批发甲、乙两种蔬菜共
花
元,设批发甲种蔬菜
,求
与
的函数关系式;
(3)在(2)的条件下,全部卖完蔬菜后要保证利润不低于176元,需要至少批发甲种蔬菜多少千克?
品名 | 甲蔬菜 | 乙蔬菜 |
批发价/(元![]() | 4.8 | 4 |
零售价/(元![]() | 7.2 | 5.6 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64b61dc10ae2503c1f533e7ec4fe250.png)
(2)若他批发甲、乙两种蔬菜共
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b51a293b9810a569e5240db168296044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d830b69a590811ca9cd981f047aba35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)在(2)的条件下,全部卖完蔬菜后要保证利润不低于176元,需要至少批发甲种蔬菜多少千克?
您最近一年使用:0次
8 . 如图,在
中,
,以
为直径的
与
交于点
,点
是
的中点,连接
,
.
(1)求证:
是
的切线;
(2)若
,
,求
的长;
(3)在(2)的条件下,点
是
上一动点,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/27/a9f701a1-6500-44fb-8749-a45b587e7f41.png?resizew=145)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377b5f7197e5bd1afeea4d931307956a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/583effa35880ba5704dfc4ae4e48a6fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(3)在(2)的条件下,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a13ec9a812274ad0839f20ba17348687.png)
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9 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d535d75ccde97a3f0141c66002d9ae16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3d34168f1ebbe52794e4d20a0dcf8d.png)
A.-22 | B.-1 | C.7 | D.11 |
您最近一年使用:0次
2023-05-19更新
|
102次组卷
|
2卷引用:云南省大理市大理白族自治州民族中学2023-2024学年高一上学期开学数学试题
名校
10 . 如图,点
是反比例函数
图象上任意一点,
轴于点
,点
是
轴上的一个动点,则
的面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/8/830dcf6c-fb59-4147-bfda-cad9da633d26.png?resizew=177)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8294e23361c4f173437ee75cddfff760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ea84cba8ccd585ad1da1fd204bc3e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/8/830dcf6c-fb59-4147-bfda-cad9da633d26.png?resizew=177)
A.1 | B.2 | C.4 | D.无法确定 |
您最近一年使用:0次
2022-09-08更新
|
106次组卷
|
3卷引用:云南省大理市大理白族自治州民族中学2023-2024学年高一上学期开学数学试题