名校
1 . 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 |
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2 . 正多边形的每个内角为108°,则它的边数是( )
A.4 | B.6 | C.7 | D.5 |
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3 . 已知实数
满足
,那么
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/326e79bc40745ced061c05274ccb2692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4af9b9f1067b2226b84159e35b7c080.png)
A.2020 | B.2021 | C.2022 | D.2023 |
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4 . 已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c328c9c4ec69c4275e27576fb61655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b93afd6a0590b3b689d4679392c6f77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb6e637a99aeb50bbb352bf611c1414b.png)
A.2 | B.5 | C.-2 | D.-5 |
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5 . 若
是关于
的一元一次方程,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aaabc3e389576c462e3356f1b94f6b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7f468c1edd8644b6b92b110db617c1.png)
A.5 | B.![]() | C.![]() | D.2 |
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6 . 如图,
为
的直径,
,
交
于点
,
交
于点
,
,下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/103b72c8-5205-4f35-a7d2-861c6483b8e6.png?resizew=97)
![](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/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f81e24376a13d648c2ed0dc73bc710e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/103b72c8-5205-4f35-a7d2-861c6483b8e6.png?resizew=97)
A.![]() | B.![]() |
C.![]() | D.劣弧![]() ![]() |
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解题方法
7 . 初一(2)班的郭同学参加了折纸社团,某次社团课上,指导教师老胡展示了如图2所示的图案,其由三块全等的矩形经过如图1所示的方式折叠后拼接而成.已知矩形
的周长为
,其中较长边
为
,将
沿
向
折叠,
折过去后交
于点E.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/c13b9d2e-d19b-493a-9936-088b39e7d4ad.png?resizew=298)
(1)用x表示图1中
的面积;
(2)郭爸爸看到孩子的折纸成果后,非常高兴,决定做一颗相同形状和大小的纽扣作为奖励其中纽扣的六个直角(如图2阴影部分)利用镀金工艺双面上色(厚度忽略不计).已知镀金工艺是2元/
,试求一颗纽扣的镀金部分所需的最大费用.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcbdcf4d4784de11ae2331cf54ffa9b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee3160fce05b551569b8c7b5de6dd8b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b78b4b135144b1eb3a3f17822faf4b63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d16a4959a99193a52d6fa8648cb2eb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/c13b9d2e-d19b-493a-9936-088b39e7d4ad.png?resizew=298)
(1)用x表示图1中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a7fc328938a3ef239a3a6195913e286.png)
(2)郭爸爸看到孩子的折纸成果后,非常高兴,决定做一颗相同形状和大小的纽扣作为奖励其中纽扣的六个直角(如图2阴影部分)利用镀金工艺双面上色(厚度忽略不计).已知镀金工艺是2元/
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8255d45b58102c28be8de5710e52ec8.png)
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8 . 如果关于x的不等式组
恰有三个整数解,整数k的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63eb3286eb6a210f3bea9f886fe6c430.png)
A.8 | B.9 | C.35 | D.36 |
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9 . 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.![]() |
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|
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10 . 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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