Hướng dẫn giải Bài 95 (Trang 105 SGK Toán 9 Hình học, Tập 2)

Các đường cao hạ từ A và B của tam giác ABC cắt nhau tại H (góc C khác <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>90</mn><mo>°</mo></math>) và cắt đường tròn ngoại tiếp tam giác ABC lần lượt tại D và E. Chứng minh rằng :  a) CD = CE;               b)<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>∆</mo><mi>B</mi><mi>H</mi><mi>D</mi></math> cân               c) CD = CH Giải : a) AD <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>⊥</mo><mi>B</mi><mi>C</mi></math> tại A' nên <math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>A</mi><mi>A</mi><mo>'</mo><mi>B</mi></mrow><mo>^</mo></mover></math>=<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>90</mn><mo>°</mo></math>. Vì <math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>A</mi><mi>A</mi><mo>'</mo><mi>B</mi></mrow><mo>^</mo></mover></math> là góc có đỉnh ở trong đường tròn nên:                         <math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>A</mi><mi>B</mi></mrow><mo>⏜</mo></mover><mo>+</mo><mover><mrow><mi>D</mi><mi>C</mi></mrow><mo>⏜</mo></mover><mo>=</mo><mn>180</mn><mo>°</mo></math>            (1) Cũng vậy, vì <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mi>E</mi><mo>⊥</mo><mi>A</mi><mi>C</mi></math> tại B' nên <math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>A</mi><mi>B</mi><mo>'</mo><mi>B</mi></mrow><mo>^</mo></mover><mo>=</mo><mn>90</mn><mo>°</mo></math>, ta có:                         <math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>A</mi><mi>B</mi></mrow><mo>⏜</mo></mover><mo>+</mo><mover><mrow><mi>C</mi><mi>E</mi></mrow><mo>⏜</mo></mover><mo>=</mo><mn>180</mn><mo>°</mo></math>            (2) So sánh (1) và (2) suy ra <math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>D</mi><mi>C</mi></mrow><mo>⏜</mo></mover><mo>=</mo><mover><mrow><mi>C</mi><mi>E</mi></mrow><mo>⏜</mo></mover><mo> </mo><mi>h</mi><mi>a</mi><mi>y</mi><mo> </mo><mi>D</mi><mi>C</mi><mo> </mo><mo>=</mo><mi>C</mi><mi>E</mi><mo>.</mo></math>    Cách chứng minh khác: <math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>D</mi><mi>A</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>=</mo><mover><mrow><mi>C</mi><mi>B</mi><mi>E</mi></mrow><mo>^</mo></mover></math> (hai góc nhọn có cạnh tương ứng vuông góc, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mi>D</mi><mo>⊥</mo><mi>B</mi><mi>C</mi><mo>,</mo><mo> </mo><mi>A</mi><mi>C</mi><mo>⊥</mo><mi>B</mi><mi>E</mi><mo>)</mo></math>                   <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mover><mrow><mi>C</mi><mi>D</mi></mrow><mo>⏜</mo></mover><mo>=</mo><mover><mrow><mi>C</mi><mi>E</mi></mrow><mo>⏜</mo></mover><mo>⇒</mo><mi>C</mi><mi>D</mi><mo>=</mo><mi>C</mi><mi>E</mi></math> b) <math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>E</mi><mi>B</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>=</mo><mfrac><mrow><mi>E</mi><mi>C</mi></mrow><mn>2</mn></mfrac></math><img class="wscnph" 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" width="166" height="169" />    <math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>C</mi><mi>B</mi><mi>D</mi></mrow><mo>^</mo></mover><mo>=</mo><mfrac><mover><mrow><mi>D</mi><mi>C</mi></mrow><mo>⏜</mo></mover><mn>2</mn></mfrac></math> Mà <math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>D</mi><mi>C</mi></mrow><mo>⏜</mo></mover><mo>=</mo><mover><mrow><mi>E</mi><mi>C</mi></mrow><mo>⏜</mo></mover><mo>⇒</mo><mover><mrow><mi>E</mi><mi>B</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>=</mo><mover><mrow><mi>C</mi><mi>B</mi><mi>D</mi></mrow><mo>^</mo></mover><mo>⇒</mo><mo>∆</mo><mi>B</mi><mi>H</mi><mi>D</mi><mo> </mo></math>cân (vì trong tam giác này, BA' là đường cao, vừa là phân giác). c) Từ tam giác cân BHD suy ra HA'=A'D (BA' là đường trung trực của cạnh HD). Điểm C nằm trên đường trung trực của HD nên CH = CD.