標題:
mathematics problem
發問:
圖片參考:http://imgcld.yimg.com/8/n/HA00517423/o/701207290011313873413260.jpg in the figure,o is the centre of the circle.AC and BD are chords intersecting at E such that BE=CE.1.SHOW THAT A,E AND B ARE CONCYCLIC.2.IF ANGLE OEB=56 DEGREE, FIND ANGLE AEB AND ANGLE ODC.ANSWER:ANGLE AEB=68 DEGREE, ANGLE ODC=56... 顯示更多 圖片參考:http://imgcld.yimg.com/8/n/HA00517423/o/701207290011313873413260.jpg in the figure,o is the centre of the circle.AC and BD are chords intersecting at E such that BE=CE. 1.SHOW THAT A,E AND B ARE CONCYCLIC. 2.IF ANGLE OEB=56 DEGREE, FIND ANGLE AEB AND ANGLE ODC. ANSWER:ANGLE AEB=68 DEGREE, ANGLE ODC=56 DEGREE
最佳解答:
1. △ABE is concyclic because the area is not 0 2. OE is an angle bisector , ∠OEB =∠OEC= 56 ∠AEB = 180 - 56 - 56= 68 so ∠EBC= ∠ECB = (180-56-56)/2 = 34 OE//DC so ∠ODC =180- ∠OED (∠OEC+∠CED) =56
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