1 . 如图,
为
的直径,弦
于点H,
的切线
与
的延长线交于点E,
,
与
的交点为F.
;
(2)若
的半径为6,
,求
的长.
![](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/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2742e11fc7d28fc674537e11d09d042c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3bc0cc876a60c8cbdccc6a9a0b5b993.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d881761c0f9cf2f9129c68b7600610af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
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昨日更新
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5卷引用:2024年北京市西城区中考一模数学试题
2 . 如图,
是
的直径,点
在
上,
是
的中点,
的延长线与过点
的切线交于点
,
与
的交点为
.
;
(2)若
的半径是
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb49a110acec1e86b8e8969300f0cd2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec00b28e3a25c4025287d877b7483f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87827211113fd8f5d1afd793927222d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d96a5d40d0aea9f4398ca4d0fe9b0dd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df55e8c69d2a0b31c3d123d8679f510c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
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名校
3 . 如图,正方形
中,点E是边
上的一点,连接
,过点A作
的垂线交
的延长线于点F,连接
,取
中点G,连接
.
(1)依意补全图形;用等式表示
与
的数量关系,并证明;
(2)若
,用等式表示线段BC与BE的数量关系,并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/15/bf8c18b9-10c8-4afa-8280-25e48f5d4f43.jpg?resizew=109)
(1)依意补全图形;用等式表示
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80525e6a8341ec50546b97e7b00d9e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64254c5dbc7252590f8f8dabe3dbb38c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be0708f21ac2a6e5c0472f28bbdfd9f8.png)
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4 . 在直角三角形中,各边的长度都扩大10倍,则锐角A的三角函数值( )
A.也扩大10倍 | B.缩小为原来的![]() | C.都不变 | D.有的扩大,有的缩小 |
您最近一年使用:0次
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|
166次组卷
|
4卷引用:北京市平谷区东高村学校2023-2024学年九年级上学期期中数学试题
5 . 如图,
,
,点D是
延长线上一点,连接
,点E和点B关于直线
对称,连接
交
于点F,连接
.
(1)依题意补全图形,并求
的度数;
(2)用等式表示线段
和
之间的数量关系,并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5becf36697a08bf9d672f2c159405597.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebfd6879d14d7d4401e63ca2d3231de9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41ff8c8d239cc12ddc3a899e9f054aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cdd9f345915ae742ed3dcd3f9678264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cdd9f345915ae742ed3dcd3f9678264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0213c5787a5a6b38d11bceca5567f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb252ad76dea82223a6e2fef3cc40ade.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/29/e23ac611-835d-4dcf-9a95-bd856a6879e5.png?resizew=142)
(1)依题意补全图形,并求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/178b087ca232215b1e09f4845e3c66dc.png)
(2)用等式表示线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c621bd20daf1d69858d4b67fdfbc3d67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8120f2eeb724c756b5f84a14c6df527.png)
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6 . 对于平面直角坐标系
中的点P和
,给出如下的定义:若
上存在两个点
、
,使得
,则称P为
的关联点.已知点
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/4/9fb23bf5-3483-4e94-992f-0ee86e9ac483.png?resizew=182)
(1)当
的半径为1时,
①在点
、
、
中,
的关联点是________.
②过点F作直线l交y轴正半轴于点G,使
,若直线l上点
是
的关联点,请直接写出m的取值范围;
(2)若线段
上的所有点都是某个圆的关联点,请直接写出这个圆的半径r的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.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/1b15b82151bff7cc0238d2034a6129f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a80d835ad6f210d253af50fa7ef4443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da4aaaaf4687d9c61b25fa505ecb4e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a309b11e84fbbbb8ecac901daf33c5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/4/9fb23bf5-3483-4e94-992f-0ee86e9ac483.png?resizew=182)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
①在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
②过点F作直线l交y轴正半轴于点G,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b61cd05f38b1a6b77224751e3608619c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b21872d8f6a518e0a2993ccf7a795ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)若线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
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名校
7 . 我们都知道蜂巢是很多个正六边形组合来的.正六边形蜂巢的建筑结构密合度最高、用材最少、空间最大、也最为坚固.如图,某蜂巢的房孔是边长为6的正六边形
,若
的内接正六边形为正六边形
,则
的长为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/e3a2d06e-ce28-4850-af39-d8dc9b4a63d1.png?resizew=304)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/e3a2d06e-ce28-4850-af39-d8dc9b4a63d1.png?resizew=304)
A.12 | B.![]() | C.![]() | D.![]() |
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2022-12-28更新
|
313次组卷
|
3卷引用:北京市昌平区2022-2023学年九年级上学期期末数学试卷
北京市昌平区2022-2023学年九年级上学期期末数学试卷(已下线)第18讲 圆内接正多边形-【帮课堂】2022-2023学年九年级数学下册同步精品讲义(北师大版)四川省南充市顺庆区南充高级中学2023-2024学年九年级上学期12月月考数学试题
8 . 在平面直角坐标系
中,
的半径为1.给出如下定义:
为
上一点,过点
作直线
,交
轴于点
,称点
为点
的“关联点”.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/a4bdff80-fdad-43ba-99ba-5a88690c7682.png?resizew=311)
(1)如图,
,
,若点
在
上,且
的长为
,则
_________
,点
的“关联点”点
的坐标是__________;
(2)求点
的“关联点”点
的横坐标的最小值;
(3)若线段
的长为
,直接写出这时点
的“关联点”点
的横坐标的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9bd144e0e96e4236a14523e0729cacb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/a4bdff80-fdad-43ba-99ba-5a88690c7682.png?resizew=311)
(1)如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee6f55f5de53781cc0e1c61f9fc5995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30015aa534fcccc37ae52e1faaabf358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e14f419e14bc30fe2fada469a0fbbb64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbdc0d25c57a11dbbe51c6ba1e72a26e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68014da348365a57f2e417231c3be258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83873a9d782f2588c5eedbfe73f9bc2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(3)若线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3084250c16aa160cb58887bcf6e96448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
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9 . 我们定义:等腰三角形中底边与腰的比叫做顶角的正对(
).如图,在
中,AB=AC,顶角
的正对记作
,这时
,容易知道一个角的大小与这个角的正对值也是相互唯一确定的.根据上述角的正对定义,解答下列问题:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/241556c5-429f-4013-a122-b0388d978735.png?resizew=259)
(1)
___________,
___________;
(2)如图,已知
,其中
为锐角,试求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9800395d9cc0cb932d1257ae69a49ea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf41b94bb22f385601fa21c3cf435470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea36188262b6bbf9098ba084b1d66bc8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/241556c5-429f-4013-a122-b0388d978735.png?resizew=259)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9e7655f03c74db1040bda8422f0e1ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8625e7f2aca24e57fbae7ce112513d63.png)
(2)如图,已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab6b7f0d88caf738cc0648a9cbb87ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf41b94bb22f385601fa21c3cf435470.png)
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2022-12-03更新
|
104次组卷
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3卷引用:北京市平谷区东高村学校2023-2024学年九年级上学期期中数学试题
10 . 如图,在平面直角坐标系中,O为原点,点
,点M在第一象限内,且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/23/c9efacab-1633-4da9-b945-aa568e9c852c.jpg?resizew=166)
(1)求点M的坐标.
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96428d61b450c1a62f12a2e411c67b5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc96d5e84e526643a2d674779888b302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61a4b53aff3ffb51501aef1a40a279f2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/23/c9efacab-1633-4da9-b945-aa568e9c852c.jpg?resizew=166)
(1)求点M的坐标.
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66ffc19775a901b46f16d2d8973362d.png)
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2023-12-23更新
|
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6卷引用:北京市平谷区东高村学校2023-2024学年九年级上学期期中数学试题