"Solution to Right Triangle" PPT Courseware 2

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"Solution to Right Triangle" PPT Courseware 2

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"Solution to Right Triangle" PPT Courseware 2

There are four basic types of solutions to right triangles:

(1) The hypotenuse and the right angle are known;

(2) Two right angle sides are known;

(3) The hypotenuse and an acute angle are known;

(4) Given a right angled side and an acute angle, the solution steps are as follows:

1. (3 points) In △ABC, ∠C=90°, b=3, c=23, then ∠A=________, ∠B=________.

2. (3 points) (2013•Jingzhou) In △ABC, ∠A=120°, AB=4, AC=2, then the value of sin B is ()

A.5714

B.35

C.217

D.2114

3. (3 points) (2013·Lanzhou) In △ABC, a, b, and c are the opposite sides of ∠A, ∠B, and ∠C respectively. If a2+b2=c2, then the following conclusion is correct ()

A. csin A=a

B. bcos B=c

C. atan A=b

D. ctan B=b

4. (6 points) As shown in the figure, in Rt△ABC, ∠C=90°, BC=2, AC=4, find the lengths of ∠A, ∠B and AB.

【Integrated use】

18. (16 points) It is known that in △ABC, ∠A is an acute angle, AB=c, BC=a, CA=b.

(1) When ∠A=30°, b=6, c=3, S△ABC=______, 12bc·sin A=________;

(2) When ∠A=45°, b=6, c=3, S△ABC=______, 12bc·sin A=________;

(3) When ∠A=60°, b=4, c=3, S△ABC=______, 12bc·sin A=________;

(4) Based on the answers to questions (1), (2), and (3), guess the relationship between S△ABC and 12bc·sin A, and give the proof.

18. (1) As shown in Figure ①, CD⊥AB is drawn through point C, and the vertical foot is point D. In Rt△ADC, CD=AC·sin A=b·sin 30°=6×12=3, so S △ABC=12AB·CD=12×3×3=92, and 12bc·sin 30°=92

(2) As shown in Figure ②, similar to (1), S△ABC=12×6×3×22=922, and 12bc·sin 45°=922

Keywords: Teaching courseware for solving right-angled triangles, download the mathematics PPT courseware for the first volume of the ninth grade of Hebei Education Edition, download the courseware for ninth-grade mathematics slides, download the PPT courseware for solving the right-angled triangle, .PPT format;

For more information about the "Solution to Right Triangles" PPT courseware, please click the "Solution to Right Triangles" ppt tag.

"Application of Solving Right Triangles" PPT Courseware 2:

"Applications of Solving Right Triangles" PPT Courseware 2 1. Among the angles formed by the line of sight and the horizontal line, the line of sight on the ______ side of the horizontal line is called the elevation angle, and the line of sight on the ______ side of the horizontal line is called the depression angle. 2. As shown in the figure, the ratio hl of the vertical height h of the slope to ___________ is called...

"Applications of Solving Right Triangles" PPT courseware:

"Solution to Right Triangle" PPT courseware 2 Review the past and learn new things 1. The relationship between the sides and angles of a right triangle: (1) The relationship between angles: A+B = 90; (2) The relationship between sides: a2+b2=c2; (3) Angle and side The relationship between: sinA=a/c, cosA=b/c, tanA..

"Solving Right Triangles" PPT courseware:

"Solving Right Triangles" PPT Courseware Communication and Discovery In Rt△ABC, C = 90AB, the opposite sides of C are a b c. In addition to the right angle C, can you express the relationship between the five elements using an equation containing these letters? (1) The relationship between angles: A+B..

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Update Time: 2024-10-19

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