解题方法
1 . 物理某一实验的电路图如图所示,其中K1,K2,K3为电路开关,L1,L2为能正常发光的灯泡.任意闭合开关K1,K2,K3中的两个,那么能让两盏灯泡同时发光的概率为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/2/694826d8-a96d-4d3a-9db0-306dde396a11.png?resizew=178)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 如图所示零件的左视图是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/31/b7209040-0522-4b0f-889b-8edf8cbf4dd5.png?resizew=132)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/31/b7209040-0522-4b0f-889b-8edf8cbf4dd5.png?resizew=132)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 如图,点D在半圆O上,半径
,
,点C在弧
上移动,连接
,H是
上一点,
,连接
,点C在移动的过程中,
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db6298ce944d2be70bc3fb1662f73397.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26ad70d2b3aac8604834d57dfc59bb2.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57570f783a548fd32e1ae8e84bf9cb79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/31/3dd32096-e099-4388-a708-c3ecd48680e7.png?resizew=164)
A.5 | B.6 | C.7 | D.8 |
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4 . 如图在平面直角坐标系中,一次函数
与
轴交于点
,与二次函数交于点
、点
,点
、
、
三点的横坐标分别是
、
、
.已知四个等式:①
;②
;③
;④
;它们一定成立的是( )
![](https://img.xkw.com/dksih/QBM/2023/10/13/3345146078420992/3345349969346560/STEM/24af12bcb86748769dc5b008eee79f7f.png?resizew=141)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c1972246a0a3d1c987d25205dbdd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/c5db41a1f31d6baee7c69990811edb9f.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7a2eefaa058fcdc80860a653d8df2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/781671e3d7d7fda3383cdbc475fd34cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c389cbbd2651ce26509c81a33586c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f43a95c07c7e8460c5dd8aa78de0552b.png)
![](https://img.xkw.com/dksih/QBM/2023/10/13/3345146078420992/3345349969346560/STEM/24af12bcb86748769dc5b008eee79f7f.png?resizew=141)
A.①②③④ | B.①②③ | C.①②④ | D.②③④ |
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5 . 某组数据方差计算公式为:
,由公式提供的信息,下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6901848d0b21e07b52a00ea51bca550.png)
A.样本的容量是3 | B.样本的中位数是3 |
C.样本的众数是3 | D.样本的平均数是3 |
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6 . 与实数
最接近的整数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a87f408f95bc42376c765b2870d5803.png)
A.2 | B.3 | C.4 | D.5 |
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7 . 甲打字员计划用若干小时完成文稿的电脑输入工作,两小时后,乙打字员协助此项工作,且乙打字员文稿电脑输入的速度是甲的
倍,结果提前
小时完成任务,则甲打字员原计划完成此项工作的时间是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8f58755aee89fb2cf72ba518dcee2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 设二次函数
(
、
为常数,
),且
.
(1)若该二次函数的图象经过点
,求该二次函数的解析式;
(2)无论
取何常数,这个二次函数的图象始终经过一个定点,求出这个定点坐标;
(3)已知点
和
都在二次函数的图象上,若
,且
,求
的取值范围(用含
的代数式表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27177205849d6f48ce61f323c76f9d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086defd602b3cc9012ace0e077be0ce5.png)
(1)若该二次函数的图象经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5548c101f84334ab651fd7139e324f4.png)
(2)无论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea9a7657ae37143d7a673720cf4731e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532bd0bad965c65da450e7aac839e1e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f90560052fe43871fd3d594c771723c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7091d529281abff275ef19b9197445a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9 . 在如图所示平面直角坐标系中,点
的坐标为
,点
的坐标为
,过点
作直线
轴,点
是直线
上的一个动点,将线段
以
为旋转中心逆时针旋转
得到
,连接
,
.
(1)如果点
的坐标为
,则
的值为____________;
(2)当
时,求出点
运动轨迹图象的表达式,并注明自变量的取值范围;
(3)求出
周长的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ccb7a14074460f0fd65dc22b5a767f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732c018e69d42df32aaac87095890b81.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/1/b846f265-ac0f-48d4-8386-5485f42a2221.png?resizew=203)
(1)如果点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a70feb95addc50c555e2eb6ad82521ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17bda892497cea43df67db57b4e2a07a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(3)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
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10 . 如图1,四边形
是某市休闲广场一个供市民休息和观赏的看台侧面示意图.已知:在四边形
中,
,
米,
,
.从底边
上点
测得点
的仰角
,且
米.
(1)求
的长度;
(2)如图2,为了避免白天市民在看台
和
的位置受到与水平面成
角的光线照射,想修建一个遮阳篷,求这个遮阳篷的宽度
是多少米?(计算结果都保留根号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/479bb5e937f4fdb1fcbca229e62e0e80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6662097cf94dc37facdaba44b49966d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d875f0d9448d025bb6dfad47dd55fad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea147ada4f0aefdd3808a6a1133792eb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/15/6c953625-fa9c-4167-ae8f-3aa2d846943e.png?resizew=396)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)如图2,为了避免白天市民在看台
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b39addc1173a458af87ed5c5e3f06466.png)
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