我们知道
,它的几何意义是数轴上表示
的点与原点
即表示
的点
之间的距离,又如式子
,它的几何意义是数轴上表示
的点与表示
的点之间的距离.也就是说,在数轴上,如果点
表示的数记为
,点
表示的数记为
则
,
两点间的距离就可记作
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/25/b6e1adae-94ea-4c5e-bc58-f05347a970cb.png?resizew=523)
回答下列问题:
(1)数轴上表示-4和2的两点之间的距离是______.
(2)小明在草稿纸上画了一条数轴,并折叠数轴,若表示
的点与表示
的点重合.
①则与表示10的点重合的点表示的数是______.
②这时如果
,
在
的左侧
两点之间的距离为
,且
,
两点经过折叠后重合,则
,
表示的数分别是多少?
(3)如图,在数轴上剪下
个单位长度
从
列
的一条线段,并把这条线段沿某点向左折叠,然后在重叠部分的某处剪一刀得到三条线段,发现这三条线段的长度之比为
:
:
,则折痕处对应的点表示的数可能是几?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0bfdc81a20142127470a5108fd73e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812b226d645c102ec1947093798c68ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b06e95b57b7a81cd81d05557a11fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.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/a13880b9454c5942f164d934b1834783.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/25/b6e1adae-94ea-4c5e-bc58-f05347a970cb.png?resizew=523)
回答下列问题:
(1)数轴上表示-4和2的两点之间的距离是______.
(2)小明在草稿纸上画了一条数轴,并折叠数轴,若表示
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
①则与表示10的点重合的点表示的数是______.
②这时如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9f5d4b54c726560d7fa35a08cbb00d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d01dd350dc95f42f1883e0cc7aae084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(3)如图,在数轴上剪下
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf9dc012c88456de7e1d26c7515a538.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://img.xkw.com/dksih/QBM/2022/12/20/3135055838855168/3135816986361856/STEM/31da4e5ec1a742239f0f1fbbe14b85fa.png?resizew=426)
更新时间:2022-12-21 20:18:54
|
相似题推荐
解答题-问答题
|
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(0.4)
名校
【推荐1】已知:在一条东西向的双轨铁路上迎面驶来一快一慢两列火车,快车长
(单位长度),慢车长
(单位长度),设正在行驶途中的某一时刻,如图,以两车之间的某点
为原点,取向右方向为正方向画数轴,此时快车头
在数轴上表示的数是
,慢车头
在数轴上表示的数是
.若快车
以6个单位长度/秒的速度向右匀速行驶,同时慢车
以2个单位长度/秒的速度向左匀速行驶,
.
(1)
,
.
(2)从此时刻开始算起,问再行驶多少秒钟两列火车行驶到车头
相距8个单位长度?
(3)此时在快车
上有一位爱动脑筋的七年级学生乘客
,他发现行驶中有一段时间
秒钟,他的位置
到两列火车头
的距离和加上到两列火车尾
的距离和是一个不变的值(即
为定值).你认为学生
发现的这一结论是否正确?若正确,求出这个时间定值;若不正确,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b515965c22d2950b592c096c6e3bdfd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f283db5ebc866e067c133df371c6bed9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/23/3e7c71ae-dd74-43e6-b183-31d160ca4535.png?resizew=330)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
(2)从此时刻开始算起,问再行驶多少秒钟两列火车行驶到车头
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b00c9499415c5801c64a8177f4b35e6.png)
(3)此时在快车
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e478787ebfeb68a5a7594dbd9eecd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f90eb172dbd2ff7ae6f705801c0737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0ab05c00360d063b5a09c9fdfe574f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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|
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(0.4)
【推荐2】(1)请你在下列数轴中标出点
,点
,点
;
![](https://img.xkw.com/dksih/QBM/2020/4/5/2434913227800576/2434961701535745/STEM/b27018493ed0465cab92482cb7ece93d.png?resizew=478)
(2)观察数轴,与点
的距离为6的点表示的数是____________;
(3)若将数轴折叠,使得点
与
表示的点重合,则点
与数_________表示的点重合;
(4)若数轴上
、
两点之间的距离为2015(
在
的左侧),且
、
两点经过③中折叠后互相重合,则
、
两点表示的数分别是什么?
(5)问:
的最小值为________;符合条件的整数
有哪些?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00eccc603b49d4876ce2069b2b815dbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4353841f9397a92db9b87f56508efed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551a61eb1de02bfb772581b8db7417ee.png)
![](https://img.xkw.com/dksih/QBM/2020/4/5/2434913227800576/2434961701535745/STEM/b27018493ed0465cab92482cb7ece93d.png?resizew=478)
(2)观察数轴,与点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)若将数轴折叠,使得点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(4)若数轴上
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(5)问:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f236734e8cc3686f82dc17f91398d423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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【推荐1】点A对应数a,点B对应数b,点C对应数c,
xc﹣5y与﹣2xb+15y的和是﹣6x5y.
(1)那么a= ,b= ,c= ;
(2)点P为数轴上一点,且满足PA=3PB+1,请求出点P所表示的数;
(3)点M为数轴上点A右侧一点,甲、乙两点分别从A、M出发,相向而行,2分钟后在途中相遇,相遇后,两点的速度都提高了1单位长度/分,当甲到达M点后立刻按原路向A返行,当乙到达A点后也立刻按原路向M点返行.甲、乙两点在第一次相遇后3分36秒又再次相遇,则A、M两点的距离是 单位长度;
(4)当甲以4单位长度/分的速度从A出发,向右运动,乙同时从点C出发,以6单位长度/分的速度向左运动,当甲到A、B、C的距离之和为40个单位长度时,假如甲立即掉头返行,请问甲、乙还能碰面吗?若能,求出碰面的地点对应的数;若不能,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90751eebae0fc4350d122e3cdbef119f.png)
(1)那么a= ,b= ,c= ;
(2)点P为数轴上一点,且满足PA=3PB+1,请求出点P所表示的数;
(3)点M为数轴上点A右侧一点,甲、乙两点分别从A、M出发,相向而行,2分钟后在途中相遇,相遇后,两点的速度都提高了1单位长度/分,当甲到达M点后立刻按原路向A返行,当乙到达A点后也立刻按原路向M点返行.甲、乙两点在第一次相遇后3分36秒又再次相遇,则A、M两点的距离是 单位长度;
(4)当甲以4单位长度/分的速度从A出发,向右运动,乙同时从点C出发,以6单位长度/分的速度向左运动,当甲到A、B、C的距离之和为40个单位长度时,假如甲立即掉头返行,请问甲、乙还能碰面吗?若能,求出碰面的地点对应的数;若不能,请说明理由.
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【推荐2】将一副三角尺如图①摆放,
,
,现将
绕点C以
/秒的速度逆时针方向旋转,旋转时间为
秒.
(1)如图②,当
______时,
恰好平分
;
(2)如图③,当
______时,
恰好平分
;
(3)如图④,当
______时,
恰好平分
;
(4)
绕点C旋转到如图⑤的位置,
平分
,
平分
,求
的度数;
(5)若
旋转到如图⑥的位置,(4)中结论是否发生变化?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdebc1592efdbdf58b9b0dd9ee725c32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1384d0a02d097ac7aa8a19e8da6f9767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c12e76fbd84eeec721386bd3b04cc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/3/106d98ac-45c1-4c9f-8460-0cbf759f1309.png?resizew=398)
(1)如图②,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db866ecc0c098bfc32ec8a43b65bdd58.png)
(2)如图③,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1384d0a02d097ac7aa8a19e8da6f9767.png)
(3)如图④,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727ad3e630a224303d6d3b8ad5c114ba.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1384d0a02d097ac7aa8a19e8da6f9767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a2db6311e228ed33b6c71d0a5918cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727ad3e630a224303d6d3b8ad5c114ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f8eff113ca3f0d0200253c7c2f5a7a.png)
(5)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1384d0a02d097ac7aa8a19e8da6f9767.png)
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解答题-作图题
|
较难
(0.4)
【推荐3】定义:在同一平两内,有公共端点的三条射线中,一条射线是另两条射线组成夹角的角平分线,我们称这三条射线为“共生三线”.
如图为一量角器的平面示意图,
为量角器的中心.作射线
,
,
,并将其所对应的量角器外圈刻度分别记为
,
,
.
(1)若射线
,
,
为“共生三线”,且
为
的角平分线.
①如图1,
,
,则
______;
②当
,
时,请在图2中作出射线
,
,
,并直接写出
的值;
③根据①②的经验,得
______(用含
,
的代数式表示).
(2)如图3,
,
.在
刻度线所在直线上方区域内,将
,
,
按逆时针方向绕点
同时旋转,旋转速度分别为每秒
,
,
,若旋转
秒后得到的射线
,
,
为“共生三线”,求
的值.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/9/9b484257-c726-492b-9a2a-93f5703f7717.png?resizew=396)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/9/65839162-e4be-4667-8946-ed74bb734746.png?resizew=379)
如图为一量角器的平面示意图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](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/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f1db24f4159ce2a7d1d5f4567a9517a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b67c61649ca1632209117f3dea4ed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b79500f1d61e0c017166bd0df798ab8.png)
(1)若射线
![](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/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
①如图1,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0531227f1e03c7933d7ed2f8db6d6d74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc0b43c15a4dead4153b925f136f56b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21787357c8a1a0835ae4e27b9f268262.png)
![](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/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
③根据①②的经验,得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)如图3,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd66cb0ba69ac37889b177511d18e0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235d495d88b8e51f89e2e4da27328025.png)
![](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/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab234099db50b451eb6ec2d5b21fe1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc63679c80e6bd24f3a27763d545dcdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bdd3ad5abd2db5dd06f5d54887d6b58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48fce10478485ef01d2318fc3465bb4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17cf8e6bfbe3b365f8e9278cc469d2b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1586d3ecae6747312b7892bac03cf8bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/9/9b484257-c726-492b-9a2a-93f5703f7717.png?resizew=396)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/9/65839162-e4be-4667-8946-ed74bb734746.png?resizew=379)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/9/53b1fd2b-1f20-44e3-9f78-31e3d3947d1f.png?resizew=412)
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