1 . 如图,学校数学兴趣小组计划测量建筑物
的高度,先在
处测得该建筑物顶端
的仰角为
,从
处前进
到达
处,在
处测得该建筑物顶端
的仰角为
,点
,
,
在同一条直线上,且
.求建筑物
的高度(结果精确到
).(参考数据:
,
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc26cc7a314e20192020c2a1d52ae3ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f03c367201c385fcf9bdbf09d22b9e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/be6a6301878fed2a01413020b27310a5.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77e3c1c236141d6118429fade0a9b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaa19eeaf415ed419e77fe92794f443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8a964c79ef55d2c24f00a7384d43be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edffa9de0e73e74e964025c8a3b12eb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ea941144d2dd69649ee8c3b046a2bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460317e7c26f95b9b29cfe1a89b796d6.png)
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2 . (1)计算:
.
(2)解方程:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e9de894f50ef2bc492f4fa0adb6008.png)
(2)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27dba17fc6c1868545a30b845eb1ca80.png)
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2024·新疆乌鲁木齐·三模
3 . (1)计算:
.
(2)解方程:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee0c638943bf80738aa056d8e00fb452.png)
(2)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f4a16ba60d105e018f5bad9ed3e3ad0.png)
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4 . 解方程和不等式
(1)解方程:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aac08bd40e707331019114dbd8000be.png)
(2)解不等式组:
(1)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aac08bd40e707331019114dbd8000be.png)
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e19657da0d139245ef4659daf416d4c.png)
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2024-05-28更新
|
332次组卷
|
3卷引用:2024年江苏省常州市九年级数学中考二模试题
5 . (1)计算:
;
(2)解方程
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/728c072218a944e812bde014074c25bb.png)
(2)解方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a6296d49c58c7c197dcadb3dbf9162.png)
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6 . (1)计算
;
(2)解下列方程:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388f9693496d71a97a86bd5ca5420c94.png)
(2)解下列方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/166f93ca53fb67aec4da409d515c4d6f.png)
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7 . 以下是某同学解分式方程
的部分过程:
(1)该同学解法中第一步的依据是 ;
(2)将该同学的解答过程补充完整.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e906e7a669ff5aa5365f04235822df2.png)
第一步:解:整理,得![]() 第二步:去分母,得 ![]() |
(2)将该同学的解答过程补充完整.
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8 . 下面是某同学解分式方程的过程,请认真阅读并完成相应的学习任务:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9cbe1ba93adb5e50eab7f8a5d0b7408.png)
解:去分母,得
…………第一步
去括号,得
…………第二步
移项、合并同类项,得
…………第三步
解得,
…………第四步
则原分式方程的解为
…………第五步
(1)第一步的依据是________________________________;
(2)上面的解题过程从第______步开始出现错误,这一步错误的原因是__________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9cbe1ba93adb5e50eab7f8a5d0b7408.png)
解:去分母,得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2efd64cc154da4b9bbd7067533b80517.png)
去括号,得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a6754405324eb9456cbb542c04f9e8b.png)
移项、合并同类项,得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4e10a4e81765d32ef08ab6a6681608a.png)
解得,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
则原分式方程的解为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
(1)第一步的依据是________________________________;
(2)上面的解题过程从第______步开始出现错误,这一步错误的原因是__________.
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9 . (1)计算:
;
(2)解分式方程:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd0283cb145932e46e4346cd76871956.png)
(2)解分式方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5df3dd0f52caf5d8afb9c5fba1193021.png)
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10 . (1)解方程:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431c64df2c49d61ea2ca08ed8f273cea.png)
(2)解不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431c64df2c49d61ea2ca08ed8f273cea.png)
(2)解不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26123503900649d3f6c5c434ffd3e4e.png)
您最近一年使用:0次