讲解这道题---**Question 2:** **Question Stem:** 下面各图都表示“1”, 涂色部分的大小(或问号表示的长度)不能表示 (1/2 + 1/4 + 1/8) 的 是( )。 _Translation: In the following figures, each represents "1". Which one's shaded part (or length indicated by the question mark) cannot represent (1/2 + 1/4 + 1/8)?_ **Calculated target value:** (1/2 + 1/4 + 1/8) = (4/8 + 2/8 + 1/8) = 7/8 **Options and Chart Descriptions:** **Option A:** * **Type:** Circle/Pie chart. * **Main Elements:** A circle representing the whole (value "1"). It is divided by a horizontal and a vertical line, splitting it into four quadrants. Three of these quadrants are fully shaded. One quadrant (bottom right) is further divided by a diagonal line into two triangles. The triangle on the left side of this quadrant is shaded, and the triangle on the right side is unshaded. * **Value Represented by Shaded Part:** * The three fully shaded quadrants represent 3/4 of the circle. * The shaded triangle in the fourth quadrant represents 1/2 of that quadrant, which is 1/2 * (1/4) = 1/8 of the whole circle. * Total shaded part = 3/4 + 1/8 = 6/8 + 1/8 = 7/8. **Option B:** * **Type:** Geometric figure composed of nested rectangles/squares. * **Main Elements:** A large square representing the whole (value "1"). * It is divided horizontally into two equal rectangles. The bottom rectangle is entirely shaded, representing 1/2 of the total area. * The top rectangle is divided vertically into two equal smaller rectangles. The left one is entirely shaded, representing 1/2 of the top rectangle, or 1/2 * (1/2) = 1/4 of the total area. * The remaining rectangle (top right) is divided horizontally into two equal smaller squares. The top one is entirely shaded, representing 1/2 of the top right rectangle, or 1/2 * (1/4) = 1/8 of the total area. The bottom one is unshaded. * **Value Represented by Shaded Part:** * Total shaded part = 1/2 + 1/4 + 1/8 = 4/8 + 2/8 + 1/8 = 7/8. **Option C:** * **Type:** Geometric figure composed of rectangles. * **Main Elements:** A large rectangle representing the whole (value "1"). * It is divided vertically into two equal rectangles. The left rectangle is entirely shaded, representing 1/2 of the total area. * The right rectangle is divided horizontally into two equal smaller rectangles. The top one is entirely shaded, representing 1/2 of the right rectangle, or 1/2 * (1/2) = 1/4 of the total area. The bottom one is unshaded. * **Value Represented by Shaded Part:** * Total shaded part = 1/2 + 1/4 = 2/4 + 1/4 = 3/4. **Option D:** * **Type:** Line segment/Number line representation. * **Main Elements:** A horizontal line segment representing the whole (value "1"). Small vertical tick marks divide the segment. A large bracket below the segment indicates a specific length marked by a question mark. * The first tick mark divides the segment into two halves. The left half is indicated. This represents 1/2. * The remaining right half is further divided by another tick mark, which appears to split that half into two equal quarters of the original whole. The second part (from the middle to the next tick) represents 1/4. * The remaining section (the last quarter) is divided by a final tick mark, appearing to split this quarter into two equal eighths of the original whole. The section immediately to the right of the 3/4 mark, representing 1/8, is included in the length indicated by the question mark. * The question mark bracket spans from the very left end of the line segment to the tick mark that signifies the sum of these parts. * **Value Represented by Length with Question Mark:** * The length represented is 1/2 (first segment) + 1/4 (second segment) + 1/8 (third segment). * Total length = 1/2 + 1/4 + 1/8 = 4/8 + 2/8 + 1/8 = 7/8. **Conclusion:** Options A, B, and D all represent 7/8. Option C represents 3/4. Therefore, Option C cannot represent (1/2 + 1/4 + 1/8).