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Mathematics Junior High

なぜFの座標がこのようになるのですか?

16 四角形の面積を分ける 図のように,点A(0, 2), B (3.0), C (4, 1), D (3,4) があり ます。このとき、次の間に答えなさい。 (1) 直線 AC の式を求めなさい。 (2) 点Aを通り,四角形ABCDの面積を二等分する直線の式を求め なさい。 [解説] (1) 2点A(0,2), C (4, 1) を通るから, y = -1/2 x (2) 神技 59 (本冊 P.107) の考えを利用する。 まず四角形 ABCDの面積を求める。 DB//y軸から x+2 四角形 ABCD = ADAB + △DCB 11 5 + 11 △ADF = 4S となればよいから, △ADC = 8S × これより, =4×3×21/2+4×1×21/12 =8 ここで直線 DB はx=3で,これと直線 AC の交点Eと すると, MAA TAR △AFC = △ADC-△ADF = よって, F y = - 解答 y=- 41 20 11' 11 = 3 DF : FC = △ADF: △AFC = 4S : -x+ 2 41 5 E3. 4 神技100 ⑥ (本冊 P.206) より △ABC: △ADC=BE:DE=121 : (4-12 ) 21:11/1=5:11 4 4 △ABC < △ADC より 求める直線は辺 DC と交わることが わかり, その交点をFとする。 ここで四角形 ABCDの面積を(ア)より8Sとすれば, 11 1x+2 1500 440 x= 1000 A (0,2) 125-45=212/28 (ア) -S = 8:3 y 0 A O B 〈中央大学杉並高等学校・一部略〉 問題 P.111) 求める直線はこれと A (0, 2) を通るので, =in 13, 54 S=== A D D (3, 4) EX コツ 85X C B (3, 0) 16 解答 C (4,1) x 4S D (3,4) G (8) B x y=-- F (3) C (4,1) 24 テーマ 16 四角形の面積を分ける -x+2 41

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English Senior High

間違えてるところあったら教えてください🙇‍♀️

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