1 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8eb1838579f64aa98d4696727c107df.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/501eafc317a84701b5355a3c39d8ac6b.png)
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2 . 若
,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b601d0f382f898200928e025bdf1e622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f13fcbc469c6061897f8ccb016d1c080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
A.1 | B.![]() | C.1或![]() | D.![]() |
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3 . 如果将“6排3号”记作
,那么“3排6号”记作_________ ,
表示_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4184c4987264b6661a8cc0a6b206d8bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bef307b7e6d0e8f30e3418d4b806b1c.png)
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4 . 求下列各式中的x的值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47a483fb87536247b45d4c905695af86.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e38fe0a6745c812f9958cc1f42d24d9f.png)
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5 . 若
,
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aed795f5809186743356be37505ef65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78866ea635f38545bca721b65af19884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
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6 . 如图,
,
,
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c54276d36db232bc3ae6327f757241c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8900f99d0feb6ce8729247778517b479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0b65ca62ce90b4879f58884e826c669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d57899ad4774aed9ccc7bd23db72153.png)
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7 . 如图,已知
,
,
,
与
相等吗?为什么?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c41bb45e0ed41804f778a3016f3a143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab00e0cff0876c4183a47f1272cf9928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b69d40b75d582c4b8ffa2369af1d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d57899ad4774aed9ccc7bd23db72153.png)
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8 . 如图,填空完成下面的证明:
已知:如图,
,
平分
,
平分
,求证:
.
(已知)
∴
(两直线平行,内错角相等)
又∵
(已知)
∴
( )
∵
(已知)
∴
___________
( )
又∵
平分
(已知)
∴
∠________( )
又∵
平分
(已知)
∴
(角平分线的定义)
∴
(_______
)
∴
____________
∴
( )
即
.
已知:如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2969cce3974886f30419d75428f59be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2ee75a234ac05a3225e49ddd8c5065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f68e4414c9ab464bf433385c03705f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04817cf2cba43ebe082c2014113d44b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39cc43ff546b95c86a95b1226139d062.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e50ce9ef89a466df68124a1dccff5663.png)
又∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8008f6d99586412397b9213d20b64b71.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e656bb343181eef14d4297b84af5dd.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e0126030fc39dc2f9b45503d7f01c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e519cdb0cac3981d8e9610dba507a3.png)
又∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2ee75a234ac05a3225e49ddd8c5065.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d345197029bf99ba296bb5fc36222e2c.png)
又∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f68e4414c9ab464bf433385c03705f.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7e3947a87b97faa4f150c40652b0e4d.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcf09ba65c8cfd4a12033a033775b317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a868be2e162f397713714a663f7faad.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa61f1be96d581867ea9f074420a2252.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/046cb90bd0747de81de595c30e7f5d78.png)
即
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04817cf2cba43ebe082c2014113d44b8.png)
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9 . 按要求作图:
(1)如图,过点C画
交AB于点E,过点C画
交
的延长线于F.
,使点A移到点M,点B和点C应移到什么位置?再将点A由点M移到点N,分别画出两次平移后的
;
(1)如图,过点C画
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60f11e9afb1c3b15f364f2c95ca3a41d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f693734ca26649d6f1d584fabf4c7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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10 . 如下图,将图1三边长都是
的三角形沿着它的一边向右平移
得图2,再沿着相同方向向右平移
得图3,若按照这个规律平移,则图5中所有三角形周长的和是______
;图
中所有三角形周长的和是___________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78d0ab561d0c9bb9099772c596af8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048b61a5fb5f420c6d7de88db5bc3aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048b61a5fb5f420c6d7de88db5bc3aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac19e2a797cd0a408316988a63b3755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
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