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		<h1>BÀI TẬP ÔN TẬP TOÁN LỚP 7</h1>
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			<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><span style="position:relative"><span style="top:2.0pt"><img alt="" id="_x0000_i1025" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image001.wmz" style="width:9pt; height:14.25pt" /> </span></span>&nbsp;<span style="position:relative"><span style="top:2.0pt"><img alt="" id="_x0000_i1026" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image001.wmz" style="width:9pt; height:14.25pt" /> </span></span>&nbsp;<span style="position:relative"><span style="top:2.0pt"><img alt="" id="_x0000_i1027" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image001.wmz" style="width:9pt; height:14.25pt" /> </span></span><b><u>BÀI TẬP ÔN TẬP TOÁN LỚP 7</u></b></span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><u>BÀI 1: Tìm x biết</u></span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><span style="position:relative"><span style="top:15.0pt"><img alt="" id="_x0000_i1028" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image002.wmz" style="width:84pt; height:36pt" /> </span></span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <span style="position:relative"><span style="top:22.0pt"><img alt="" id="_x0000_i1029" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image003.wmz" style="width:71.25pt; height:50.25pt" /> </span></span>&nbsp;<span style="position:relative"><span style="top:2.0pt"><img alt="" id="_x0000_i1030" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image001.wmz" style="width:9pt; height:14.25pt" /> </span></span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span style="position:relative"><span style="top:17.0pt"><img alt="" id="_x0000_i1031" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image004.wmz" style="width:119.25pt; height:39.75pt" /> </span></span>&nbsp;</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><u>BÀI 2: Tính</u></span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">&nbsp;&nbsp;&nbsp;&nbsp; <span style="position:relative"><span style="top:12.0pt"><img alt="" id="_x0000_i1032" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image005.wmz" style="width:66.75pt; height:33pt" /> </span></span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span style="position:relative"><span style="top:27.0pt"><img alt="" id="_x0000_i1033" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image006.wmz" style="width:1in; height:45.75pt" /> </span></span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span style="position:relative"><span style="top:57.0pt"><img alt="" id="_x0000_i1034" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image007.wmz" style="width:96.75pt; height:75.75pt" /> </span></span>&nbsp;</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><u>BÀI 3:Tìm x, y biết:</u></span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <span style="position:relative"><span style="top:14.0pt"><img alt="" id="_x0000_i1035" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image008.wmz" style="width:32.25pt; height:33pt" /> </span></span>&nbsp;&nbsp;và<u> </u>&nbsp;x+y =70</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><u>BÀI 4:</u> Tìm&nbsp; <span style="position:relative"><span style="top:14.0pt"><img alt="" id="_x0000_i1036" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image009.wmz" style="width:12.75pt; height:33pt" /> </span></span>&nbsp;biết x, y thỏa mãn: <span style="position:relative"><span style="top:14.0pt"><img alt="" id="_x0000_i1037" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image010.wmz" style="width:54.75pt; height:33pt" /> </span></span>&nbsp;</span></span></span><br />
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<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><u>BÀI 5: Các tỉ lệ thức được lập từ các đẳng thức: </u></span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 12.20=15.16;&nbsp;&nbsp;&nbsp;&nbsp; ab=cd&nbsp;&nbsp;&nbsp; ;&nbsp; 3.4= 2.6</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><u>BÀI 6:&nbsp; </u></span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">Cho tam giác ABC cân tại A. Điểm D thuộc cạnh AB,điểm E thuộc cạnh AC sao cho&nbsp; AD=AE. Gọi K là giao điểm BE và CD. Chứng minh rằng:</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">a ,BE=CD</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">b . tam giác KBD bằng tam giác KCE</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">c , AK là phân giác góc A</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">d, tam giác KBC cân</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><u>BÀI 7: </u></span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">Tìm giá trị lớn nhất hoặc nhỏ nhất của các biểu thức sau:</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><span style="position:relative"><span style="top:12.0pt"><img alt="" id="_x0000_i1038" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image011.wmz" style="width:80.25pt; height:30.75pt" /> </span></span>&nbsp; với x<span style="font-family:&#039;Cambria Math&#039;,&#039;serif&#039;">∈</span> Q&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; ;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <span style="position:relative"><span style="top:27.0pt"><img alt="" id="_x0000_i1039" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image012.wmz" style="width:80.25pt; height:45.75pt" /> </span></span>&nbsp;<span style="position:relative"><span style="top:2.0pt"><img alt="" id="_x0000_i1040" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image001.wmz" style="width:9pt; height:14.25pt" /> </span></span>&nbsp;với x<span style="font-family:&#039;Cambria Math&#039;,&#039;serif&#039;">∈</span>Q</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><u>BÀI 8</u>: &nbsp;</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Tìm các số nguyên x, y thỏa mãn :&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <span style="position:relative"><span style="top:14.0pt"><img alt="" id="_x0000_i1041" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image013.wmz" style="width:51pt; height:33pt" /> </span></span>&nbsp;<span style="position:relative"><span style="top:2.0pt"><img alt="" id="_x0000_i1042" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image001.wmz" style="width:9pt; height:14.25pt" /> </span></span></span></span></span><br />
<br />
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<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><u>BÀI 9:</u></span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Ba đội máy san đất làm ba khối lượng công việc như nhau. Đội thứ nhất hoàn thành công việc trong 4 ngày, đội thứ hai hoàn thành công việc trong 6 ngày . Hỏi đội thứ 3 hoàn thành công việc trong mấy ngày. Biết rằng tổng số máy của đội thứ nhất và đội thứ hai gấp 5 lần số máy của đội thứ ba và năng suất của 3 máy là như nhau.</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><u>BÀI 10:</u></span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Năng suất lúa xuân tính theo tạ/ha của 40 thửa ruộng chọn tùy ý của xã Thanh Thùy được cho dưới bảng sau đây:</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">32&nbsp;&nbsp;&nbsp; 28&nbsp;&nbsp;&nbsp; 36&nbsp;&nbsp;&nbsp; 28&nbsp;&nbsp;&nbsp; 34&nbsp;&nbsp; 40&nbsp;&nbsp;&nbsp; 32&nbsp;&nbsp; 32&nbsp;&nbsp; 32&nbsp;&nbsp; 28</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">33&nbsp;&nbsp;&nbsp; 33&nbsp;&nbsp;&nbsp; 32&nbsp;&nbsp;&nbsp; 33&nbsp;&nbsp;&nbsp; 36&nbsp;&nbsp; 33&nbsp;&nbsp; 34&nbsp;&nbsp;&nbsp; 28&nbsp;&nbsp; 32&nbsp;&nbsp; 32</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">42&nbsp;&nbsp;&nbsp; 34&nbsp;&nbsp;&nbsp; 34&nbsp;&nbsp;&nbsp; 40&nbsp;&nbsp;&nbsp; 32&nbsp;&nbsp;&nbsp; 33&nbsp;&nbsp; 42&nbsp;&nbsp;&nbsp; 33&nbsp;&nbsp; 34&nbsp;&nbsp; 36</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">28&nbsp;&nbsp;&nbsp; 33&nbsp;&nbsp;&nbsp; 33&nbsp;&nbsp;&nbsp; 34&nbsp;&nbsp;&nbsp; 33&nbsp;&nbsp;&nbsp; 33&nbsp;&nbsp;&nbsp; 40&nbsp;&nbsp;&nbsp; 36&nbsp;&nbsp; 33&nbsp;&nbsp; 39</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">a , Dấu hiệu cần điều tra là gì? Có tất cả bao nhiêu dấu hiệu thống kê</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">b , Lập bảng tần số, tần suất&nbsp;&nbsp;</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">c, Tính trung bình cộng năng suất lúa xuân của 40 thửa ruộng trên</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">d, Vẽ biểu đồ đoạn thẳng</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">e, Tìm Mốt và đưa ra nhận xét</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><u>BÀI 11:</u> Tìm&nbsp; x, y , z biết x, y , z thỏa mãn:</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; x:y:z= 3:4:5&nbsp;&nbsp; và&nbsp;&nbsp; <span style="position:relative"><span style="top:5.0pt"><img alt="" id="_x0000_i1043" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image014.wmz" style="width:114pt; height:18pt" /> </span></span>&nbsp;</span></span></span><br />
<br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif">BÀI 12: Tính :</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><span style="position:relative"><span style="top:12.0pt"><img alt="" id="_x0000_i1044" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image015.wmz" style="width:242.25pt; height:30.75pt" /> </span></span>&nbsp;</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><span style="position:relative"><span style="top:12.0pt"><img alt="" id="_x0000_i1045" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image016.wmz" style="width:305.25pt; height:30.75pt" /> </span></span>&nbsp;</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><span style="position:relative"><span style="top:12.0pt"><img alt="" id="_x0000_i1046" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image017.wmz" style="width:192pt; height:30.75pt" /> </span></span>&nbsp;</span></span></span><br />
<span style="font-size:14pt"><span style="line-height:115%"><span style="font-family:&#039;Times New Roman&#039;,serif"><span style="position:relative"><span style="top:14.0pt"><img alt="" id="_x0000_i1047" o:ole="" src="https://thcsthanhthuy.xatamhung.edu.vn/file:///C:\Users\ADMINI~1\AppData\Local\Temp\msohtmlclip1\01\clip_image018.wmz" style="width:249pt; height:36pt" /> </span></span>&nbsp;</span></span></span><br />
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