Giải một số bài tập hệ bất phương trình bậc 2 bằng cách đưa về hệ phương trình

Trong chương trình toán phổ thông (ở lớp 10) học sinh được làm quen với hệ phương trình bậc hai hai ẩn. Nếu ta chịu khó phân loại thì sẽ có các loại sau:

1) Hệ gồm một phương bậc nhất và một phương trình bậc hai.

2) Hệ đối xứng (Đối xứng loại I, loại II).

3) Hệ đẳng cấp.

      Học sinh ít nhiều cũng định hình được cách giải các loại hệ nói trên. Trong các loại hệ nói trên ta thay dấu phương trình (dấu đẳng  thức) bởi dấu bất phương trình (dấu bất đẳng thức), thì việc giải các hệ bất phương tương ứng sẽ gặp không ít khó khăn, đó thường là các bài toán trong các kỳ thi học sinh giỏi. Hơn thế nữa nhiều khi ta còn bắt gặp trong các hệ phương trình, hệ bất phương trình có chứa thêm tham số, bài toán yêu cầu tìm điều kiện của tham số để hệ có nghiệm hoặc hệ có nghiệm duy nhất thì vấn đề lại khó hơn nhiều.   

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he sped away toward a bridge leading to the Virginia suburbs, but crashed his vehicle and fled on foot, officials said.

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The government said Ortega-Hernandez's fingerprints were found on ammunition magazines

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left in a 1998 Honda, but not on the weapon itself,

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which also was left in the car.Neither the President nor his family

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were at home at the time of the incident."

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This man drove cross-country to launch an assault rifle attack on the White House from Constitution Avenue,"

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said U.S. Attorney Ronald Machen, whose office prosecuted the case. "He was motivated by hatred for

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the President and the desire to start a revolution against the federal government."

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We are very fortunate that his bullets narrowly missed the U.S. Secret Service officers guarding the White House that night.

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This 25-year prison sentence demonstrates that anyone who comes to the nation's capital planning to use violence should expect to spend decades behind bars."Ortega-Hernandez was captured at a Pennsylvania motel five days after the incident.

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In court documents,prosecutors argued Ortega-Hernandez was dangerous and planned out his alleged crime over a period of months.

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According to the FBI, Ortega-Hernandez's friends reported that he made anti-government statements beginning in 2010.Officials said he

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believed the federal government was trying to control

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Americans through GPS, fluoride and aspartame.

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He was also angry at what he believed was U.S.

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bullying of other countries, including in

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the wars in Afghanistan and Iraq, and claimed that the President

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was the "anti-Christ"

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and told friends he was "on a mission from God to take out Obama."

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