如图,点
所对应的实数为
,已知
,请求式子
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fca3734de79f7f50b552ef62b29dc7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc3d5ac9fda35d9000150011265ab37.png)
![](https://img.xkw.com/dksih/QBM/2022/1/17/2896590251368448/2972874667638784/STEM/fd0f5da5-efaf-4a59-afb4-7135fdb9003a.png?resizew=221)
21-22八年级上·江西吉安·期末 查看更多[3]
江西省吉安市吉安县2021-2022学年八年级上学期期末数学试题(已下线)专题2.23 《实数》全章复习与巩固(基础篇)(专项练习)-2022-2023学年八年级数学上册基础知识专项讲练(北师大版)(已下线)专题2.18 二次根式(分层练习)(基础练)-2023-2024学年八年级数学上册基础知识专项突破讲与练(北师大版)
更新时间:2022-05-05 15:11:54
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【推荐1】如图,一只蜗牛从点C沿数轴向右直爬2个单位到达点B,再直爬到A点停止,已知点C表示
,点A表示2,设点B所表示的数为m.
![](https://img.xkw.com/dksih/QBM/2021/10/13/2828598159261696/2829783325483008/STEM/f0944448-9cbf-4422-a86a-6052d72fe5e5.png)
(1)求m的值;
(2)求AB的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47153fdd73c0661fa460130082e30929.png)
![](https://img.xkw.com/dksih/QBM/2021/10/13/2828598159261696/2829783325483008/STEM/f0944448-9cbf-4422-a86a-6052d72fe5e5.png)
(1)求m的值;
(2)求AB的长.
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【推荐2】在数轴上表示下列各数,并把这些数按从小到大顺序进行排列,用“
”连接:
,
,
,0,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5be7821872c2f83d39ffaea5216d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/203b4c1b97dcb87dacb9fc636699f86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb3528d985a77044680e3fb9bd49c8e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2384167ae61cf3183559acb3006898a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e089c43cf0bfd06bd84d19fb10f5af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5be7821872c2f83d39ffaea5216d09.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/24/69fdf3b2-676e-4c57-9dbe-a6bd584883ad.png?resizew=353)
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【推荐1】如图1是博物馆展出的古代车轮实物,《周礼·考工记》记载:“……故兵车之轮六尺有六寸,田车之轮六尺有三寸……”据此,我们可以通过计算车轮的半径来验证车轮类型,请将以下推理过程补充完整.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/15/8c28046c-4358-4bf4-9f0b-0d287e83b6a3.png?resizew=252)
如图2所示,在车轮上取A、B两点,设弧
所在圆的圆心为O,半径为
.作弦
的垂线
,D为垂足,则D是
的中点.其推理的依据是:______.
连接
、
,经测量,
,
,
在
中,由勾股定理可列出关于
的方程:______.解得
______.
通过单位换算,得到车轮直径约为六尺六寸,可验证此车轮为兵车之轮.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/15/8c28046c-4358-4bf4-9f0b-0d287e83b6a3.png?resizew=252)
如图2所示,在车轮上取A、B两点,设弧
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104e109ddc148a3a656dcfc272d31a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daae7065e0593fc6ff9351d3e0cccdd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b2589e4bb57ab742462dd935669dec5.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92609abbb74ebaff4e8cc885e4b8ded7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
通过单位换算,得到车轮直径约为六尺六寸,可验证此车轮为兵车之轮.
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【推荐2】如图,在
中,
为直径,弦
于点
,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/858927b3-1e98-4db9-bcb6-e7d36634728e.png?resizew=160)
(1)若
,求
的直径;
(2)若
,求弦
与
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28d2790a97390935125aa897417f970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/858927b3-1e98-4db9-bcb6-e7d36634728e.png?resizew=160)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8355cb85e58066b621172a1c090c73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1beff025b32f688316009552d2fd8e1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
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