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Тригонометрия.pdf
Ɍɪɢɝɨɧɨɦɟɬɪɢɹ
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ȼɬɪɟɭɝɨɥɶɧɢɤɟ ABC ɭɝɨɥ Cɪɚɜɟɧ 90q, AC 20, tg A 0,5. ɇɚɣɞɢɬɟ BC .
Ɉɬɜɟɬ: ___________________________.
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ȼɬɪɟɭɝɨɥɶɧɢɤɟ ABC ɭɝɨɥ C ɪɚɜɟɧ 90q, AC 18, tgA 3. ɇɚɣɞɢɬɟ BC .
Ɉɬɜɟɬ: ___________________________.
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ȼɬɪɟɭɝɨɥɶɧɢɤɟ ABC ɭɝɨɥ Cɪɚɜɟɧ 90q, AC 12, tg A 1,5. ɇɚɣɞɢɬɟ BC .
Ɉɬɜɟɬ: ___________________________.
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ȼɬɪɟɭɝɨɥɶɧɢɤɟ ABC ɭɝɨɥ Cɪɚɜɟɧ 90q, BC 20, tg A 0,5. ɇɚɣɞɢɬɟ AC .
Ɉɬɜɟɬ: ___________________________.
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ȼɬɪɟɭɝɨɥɶɧɢɤɟ ABC ɭɝɨɥ Cɪɚɜɟɧ 90q, BC 18, tg A 3. ɇɚɣɞɢɬɟ AC .
Ɉɬɜɟɬ: ___________________________.
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ȼɬɪɟɭɝɨɥɶɧɢɤɟ ABC ɭɝɨɥ Cɪɚɜɟɧ 90q, BC 12, tg A 1,5. ɇɚɣɞɢɬɟ AC .
Ɉɬɜɟɬ: ___________________________.
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Ɍɚɧɝɟɧɫɨɫɬɪɨɝɨɭɝɥɚɩɪɹɦɨɭɝɨɥɶɧɨɣɬɪɚɩɟɰɢɢɪɚɜɟɧ
.
ɇɚɣɞɢɬɟɟɺɛɨɥɶɲɟɟ
ɨɫɧɨɜɚɧɢɟ, ɟɫɥɢɦɟɧɶɲɟɟɨɫɧɨɜɚɧɢɟɪɚɜɧɨɜɵɫɨɬɟɢɪɚɜɧɨ 15.
Ɉɬɜɟɬ: ___________________________.
8 ɇɚɪɢɫɭɧɤɟɢɡɨɛɪɚɠɺɧɩɪɹɦɨɭɝɨɥɶɧɵɣɬɪɟɭɝɨɥɶɧɢɤ. ɇɚɣɞɢɬɟɞɥɢɧɭɦɟɞɢɚɧɵ
ɬɪɟɭɝɨɥɶɧɢɤɚ, ɩɪɨɜɟɞɺɧɧɭɸɢɡɜɟɪɲɢɧɵɩɪɹɦɨɝɨɭɝɥɚ.
Ɉɬɜɟɬ: ___________________________.
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ɇɚɣɞɢɬɟɫɢɧɭɫɨɫɬɪɨɝɨɭɝɥɚɬɪɚɩɟɰɢɢ,
ɢɡɨɛɪɚɠɺɧɧɨɣɧɚɪɢɫɭɧɤɟ.
Ɉɬɜɟɬ: ___________________________.
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ɇɚɣɞɢɬɟɬɚɧɝɟɧɫɭɝɥɚ,
ɢɡɨɛɪɚɠɺɧɧɨɝɨɧɚɪɢɫɭɧɤɟ.
Ɉɬɜɟɬ: ___________________________.
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ɇɚɣɞɢɬɟɬɚɧɝɟɧɫɭɝɥɚ,
ɢɡɨɛɪɚɠɺɧɧɨɝɨɧɚɪɢɫɭɧɤɟ.
Ɉɬɜɟɬ: ___________________________.
12 ȼ
ɩɪɹɦɨɭɝɨɥɶɧɨɦ
ɬɪɟɭɝɨɥɶɧɢɤɟ ABC
ɤɚɬɟɬ AC = 75, ɚ
ɜɵɫɨɬɚ CH , ɨɩɭɳɟɧɧɚɹɧɚɝɢɩɨɬɟɧɭɡɭ,
ɪɚɜɧɚ 9 69 . ɇɚɣɞɢɬɟ
sin‘ABC.
Ɉɬɜɟɬ: ___________________________.
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ȼɩɪɹɦɨɭɝɨɥɶɧɨɦɬɪɟɭɝɨɥɶɧɢɤɟ
ABC ɤɚɬɟɬ AC = 70, ɚɜɵɫɨɬɚ
CH , ɨɩɭɳɟɧɧɚɹɧɚɝɢɩɨɬɟɧɭɡɭ,
ɪɚɜɧɚ 7 19 . ɇɚɣɞɢɬɟ
sin‘ABC.
Ɉɬɜɟɬ: ___________________________.
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ȼɩɪɹɦɨɭɝɨɥɶɧɨɦɬɪɟɭɝɨɥɶɧɢɤɟ ABC ɤɚɬɟɬ AC =55, ɚɜɵɫɨɬɚ CH , ɨɩɭɳɟɧɧɚɹɧɚɝɢɩɨɬɟɧɭɡɭ, ɪɚɜɧɚ 44. ɇɚɣɞɢɬɟ sin‘ABC.
Ɉɬɜɟɬ: ___________________________.
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Ɍɚɧɝɟɧɫɨɫɬɪɨɝɨɭɝɥɚɩɪɹɦɨɭɝɨɥɶɧɨɣɬɪɚɩɟɰɢɢɪɚɜɟɧ
.
ɇɚɣɞɢɬɟɟɺɛyɥɶɲɟɟ
ɨɫɧɨɜɚɧɢɟ, ɟɫɥɢɦɟɧɶɲɟɟɨɫɧɨɜɚɧɢɟɪɚɜɧɨɜɵɫɨɬɟɢɪɚɜɧɨ
14.
Ɉɬɜɟɬ: ___________________________.
16
Ɍɚɧɝɟɧɫɨɫɬɪɨɝɨɭɝɥɚɩɪɹɦɨɭɝɨɥɶɧɨɣɬɪɚɩɟɰɢɢɪɚɜɟɧ . ɇɚɣɞɢɬɟɟɺɛɨɥɶɲɟɟ ɨɫɧɨɜɚɧɢɟ, ɟɫɥɢɦɟɧɶɲɟɟɨɫɧɨɜɚɧɢɟɪɚɜɧɨɜɵɫɨɬɟɢɪɚɜɧɨ 55.
Ɉɬɜɟɬ: ___________________________.
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Ɍɚɧɝɟɧɫɨɫɬɪɨɝɨɭɝɥɚɩɪɹɦɨɭɝɨɥɶɧɨɣɬɪɚɩɟɰɢɢɪɚɜɟɧ
.
ɇɚɣɞɢɬɟɟɺɛɨɥɶɲɟɟ
ɨɫɧɨɜɚɧɢɟ, ɟɫɥɢɦɟɧɶɲɟɟɨɫɧɨɜɚɧɢɟɪɚɜɧɨɜɵɫɨɬɟɢɪɚɜɧɨ
63.
Ɉɬɜɟɬ: ___________________________.
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ȼɬɪɟɭɝɨɥɶɧɢɤɟ ABC ɭɝɨɥ Cɪɚɜɟɧ 90D, BC 1, sin A 0,2. ɇɚɣɞɢɬɟ AB.
Ɉɬɜɟɬ: ___________________________.
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ȼɬɪɟɭɝɨɥɶɧɢɤɟ ABC ɭɝɨɥ Cɪɚɜɟɧ 90D, BC 7, sin A 0,5. ɇɚɣɞɢɬɟ AB.
Ɉɬɜɟɬ: ___________________________.
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