1 . 据《金堂县志》记载,位于金堂县淮口镇沱江边蛇山上的瑞光塔(现称淮口白塔),修建于东晋,并于南宋绍兴十八年(1148年)重修.该塔坐东向西,背靠瑞光寺(现称白塔寺),塔为方形十三级楼阁式砖塔,是典型的宋营造法式,因为采用内置右旋式顺时针砖砌蹬道上顶,在四川宋塔中非常罕见.如图,为测量白塔的高度
,选取与塔底
在同一水平面内的两个测量基点
与
,现测得
,
,
米,在
点测得塔顶
的仰角
,则塔的高度大约为(参考数据
,
)( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/b6c96cb3ac8290e09c55d4eb336a8608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d5a9690d02c2b1e6bbd6fd05225c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1d0d900272224049853b72ebcb803d.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/f72bf0fce80daad394f2a9d013829c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c894b7d6baa55c80c64e74748dad898.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460317e7c26f95b9b29cfe1a89b796d6.png)
A.19米 | B.31米 | C.33米 | D.35米 |
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2 . 对平面内两向量
,
,若
,则下列结论成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f7d08d10754ff3903d139768f40530.png)
A.![]() ![]() |
B.![]() ![]() |
C.存在一个实数![]() ![]() |
D.存在不全为零的实数![]() ![]() ![]() |
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3 . 设
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45a173784888adf2946382fa093ba53a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd754bbf05bd6d7eefcdb28c6602a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edaec4736d17022aca544401d1eba36b.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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解题方法
4 . 已知
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fefba395767c9d932837df1585395fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1cc0882bf6d1ae06bf316f9474e66b8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 已知平行四边形
的三个顶点
,
,
的坐标分别为
,
,
,则顶点
的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/b2c7b74fd862d7e3f35e40ae1f626c4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1beb189381103ad1e758fd8cfedb6355.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a3619ccbcf65312754a970647014e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 计算
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d6b6146cabedabc9862e4e19cd19b4f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 下列几何体中为球的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 点
对应的复数是
,点
对应的复数是
,则线段
的中点对应的复数是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8477bcc87b1401970171bf57b9ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33286c6359bb69548e6b42253471a6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c1fd680a5d355178273c6d6025eb80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa9845fcf800c01a35d37bf592b66755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0600267caf4d9288ab8ba8f4f9b3d556.png)
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9 . 已知
是钝角三角形,角
的对边依次是
,且
,则边
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2293e25112b028c10edbf063146ecb3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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10 . 已知
的面积为4,下图是
的直观图,已知
,
轴,过
作
轴于
,则
的长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b83beedb3438153e6f728545fe3e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b83beedb3438153e6f728545fe3e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac39f40f5d82bfb09d9dc5036fd4c531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56fa5cea6f5d8e2a8a898822deb09e4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2653bcab817704ebe955db23485fd34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24cfad1ba71a78d8f415335cde2f8c52.png)
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